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Go Math Grade 4 Chapter 9 Answer Key Pdf Relate Fractions and Decimals

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Relate Fractions and Decimals Go Math Grade 4 Chapter 9 Answer Key Pdf

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Lesson 1: Relate Tenths and Decimals

• Relate Tenths and Decimals – Page No. 499
• Relate Tenths and Decimals Lesson Check – Page No. 500

Lesson 2: Relate Hundredths and Decimals

• Relate Hundredths and Decimals – Page No. 503
• Relate Hundredths and Decimals Lesson Check – Page No. 504
• Relate Hundredths and Decimals Lesson Check 1 – Page No. 505
• Relate Hundredths and Decimals Lesson Check 2 – Page No. 506

Lesson 3: Equivalent Fractions and Decimals

• Equivalent Fractions and Decimals – Page No. 509
• Equivalent Fractions and Decimals Lesson Check – Page No. 510
• Equivalent Fractions and Decimals Lesson Check 1 – Page No. 511
• Equivalent Fractions and Decimals Lesson Check 2 – Page No. 512

Lesson 4: Relate Fractions, Decimals, and Money

• Relate Fractions, Decimals, and Money – Page No. 515
• Relate Fractions, Decimals, and Money Lesson Check – Page No. 516
• Relate Fractions, Decimals, and Money Lesson Check 1 – Page No. 517
• Relate Fractions, Decimals, and Money Lesson Check 2 – Page No. 518

Lesson 5: Problem Solving • Money

• Money – Page No. 521
• Money Lesson Check – Page No. 522
• Money Lesson Check 1 – Page No. 523
• Money Lesson Check 2 – Page No. 524

Mid-Chapter Checkpoint

• Mid-Chapter Checkpoint – Page No. 525
• Mid-Chapter Checkpoint Lesson Check – Page No. 526

Lesson 6: Add Fraction Parts of 10 and 100

• Add Fraction Parts of 10 and 100 – Page No. 529
• Add Fraction Parts of 10 and 100 Lesson Check – Page No. 530
• Add Fraction Parts of 10 and 100 Lesson Check 1 – Page No. 531
• Add Fraction Parts of 10 and 100 Lesson Check 2 – Page No. 532

Lesson 7: Compare Decimals

• Compare Decimals – Page No. 535
• Compare Decimals Lesson Check – Page No. 536
• Compare Decimals Lesson Check 1 – Page No. 537
• Compare Decimals Lesson Check 2 – Page No. 538

Review/Test

• Review/Test – Page No. 539
• Review/Test – Page No. 540
• Review/Test – Page No. 541
• Review/Test – Page No. 542
• Review/Test – Page No. 543
• Review/Test – Page No. 544
• Review/Test – Page No. 551
• Review/Test – Page No. 552

Common Core – New – Page No. 499

Relate Tenths and Decimals

Write the fraction or mixed number and the decimal shown by the model.

Answer: 1\(\frac{2}{10}\)

Explanation: The model is divided into 10 equal parts. Each part represents one-tenth. 1 2/10 is 1 whole and 2 tenths.

Answer: 2\(\frac{3}{10}\) = 2.3

Answer: 4\(\frac{8}{10}\) = 4.8

Write the fraction or mixed number as a decimal.

Question 5. \(\frac{4}{10}\) _____

Answer: 0.4

Explanation: Write down 4 with the decimal point 1 space from the right (because 10 has 1 zero) 0.4

Compare Fractions and Decimals Lesson 1 Answer Key Question 6. 3 \(\frac{1}{10}\) _____

Answer: 3.1

Explanation: Multiply 3 x 10 = 30. Add 30 + 1 = 31. So, 31/10. Write down 31 with the decimal point 1 space from the right (because 10 has 1 zero) 3.1

Question 7. \(\frac{7}{10}\) _____

Answer: 0.7

Explanation: Write down 7 with the decimal point 1 space from the right (because 10 has 1 zero) 0.7

Question 8. 6 \(\frac{5}{10}\) _____

Answer: 6.5

Explanation: Multiply 6 x 10 = 60. Add 60 + 5 = 65. So, 65/10. Write down 35 with the decimal point 1 space from the right (because 10 has 1 zero) 6.5

Question 9. \(\frac{9}{10}\) _____

Answer: 0.9

Explanation: Write down 9 with the decimal point 1 space from the right (because 10 has 1 zero) 0.9

Problem Solving

Question 10. There are 10 sports balls in the equipment closet. Three are kickballs. Write the portion of the balls that are kickballs as a fraction, as a decimal, and in word form. Type below: _________

Answer: \(\frac{3}{10}\) = 0.3 = three tenths

Explanation: There are 10 sports balls in the equipment closet. Three are kickballs. So, 3/10 kickballs are available.

Question 11. Peyton has 2 pizzas. Each pizza is cut into 10 equal slices. She and her friends eat 14 slices. What part of the pizzas did they eat? Write your answer as a decimal. _________

Answer: 1.4 pizzas

Explanation: Peyton has 2 pizzas. Each pizza is cut into 10 equal slices. So, the total number of slices = 2 x 10 = 20. She and her friends eat 14 slices. So, they ate 1 whole pizza and 4 parts out of 10 slices in the second pizza. 1 4/10 = 14/10 = 1.4 pizzas

Common Core – New – Page No. 500

Lesson Check

Question 1. Valerie has 10 CDs in her music case. Seven of the CDs are pop music CDs. What is this amount written as a decimal? Options: a. 70.0 b. 7.0 c. 0.7 d. 0.07

Answer: c. 0.7

Explanation: Valerie has 10 CDs in her music case. Seven of the CDs are pop music CDs. Seven CDs out of 10 CDs = 7/10 =0.7

Answer: c. 1.4

Explanation: 1\(\frac{4}{10}\) Multiply 10 x 1 = 10. Add 10 + 4 = 14. So, 14/10 = 1.4.

Spiral Review

Question 3. Which number is a factor of 13? Options: a. 1 b. 3 c. 4 d. 7

Answer: a. 1

Explanation: 13 has 1 and 13 as its factors.

Question 4. An art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall, with the same number of each type of art in each row. Which of the following could be the number of rows? Options: a. 2 rows b. 3 rows c. 4 rows d. 6 rows

Answer: a. 2 rows

Explanation: An art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall, with the same number of each type of art in each row. So, 18 paintings and 4 photographs need to be divided into equal parts. 18/2 = 9; 4/2 = 2. 2 rows can be possible with 9 pictures and 2 pictures in each row.

Answer: b. \(\frac{14}{4}\)

Explanation: 3\(\frac{2}{4}\) = 14/4. 14 divided by 4 is equal to 3 with a remainder of 2. The 3 is greater than 1. So, 14/4 > 1.

Explanation: a. \(\frac{2}{3}\) b. \(\frac{5}{10}\) = \(\frac{1}{2}\) c. \(\frac{2}{10}\) = \(\frac{1}{5}\) d. \(\frac{1}{10}\)

Page No. 503

Answer: \(\frac{68}{100}\) = 0.68

Explanation: 68 boxes are shaded out of 100 boxes.

Answer: \(\frac{8}{100}\) = 0.08

Explanation: 8 boxes are shaded out of 100 boxes.

Answer: 6\(\frac{19}{100}\) = 6.19

Explanation: 0.5 is 5 tenths and 0.50 is 5 tenths 0 hundredths. Since both 0.5 and 0.50 have 5 tenths and no hundredths, they are equivalent

Answer: 1\(\frac{83}{100}\) = 1.83

Explanation: 1 whole number(all the square boxes are shaded) and 83 square boxes shaded out from 100 boxes.

Answer: \(\frac{75}{100}\)

Explanation: 75 boxes are shaded out of 100 boxes.

Answer: \(\frac{47}{100}\) = 0.47

Explanation: The point lies between \(\frac{40}{100}\) and \(\frac{50}{100}\). The number of lines in between \(\frac{40}{100}\) and \(\frac{50}{100}\) are 10. The point is placed at the 7th line. So, 40 + 7 = 47. Answer = \(\frac{47}{100}\)

Practice: Copy and Solve Write the fraction or mixed number as a decimal.

Question 8. \(\frac{9}{100}\) = _____

Answer: 0.09

Explanation: Write down 9 with the decimal point 2 spaces from the right (because 100 has 2 zeros)

Question 9. 4 \(\frac{55}{100}\) = _____

Answer: 4.55

Explanation: 4 \(\frac{55}{100}\) = \(\frac{455}{100}\) Write down 455 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 4.55 is the answer

Question 10. \(\frac{10}{100}\) = _____

Answer: 0.10 = 0.1

Explanation: Write down 10 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 0.10 =0.1 is the answer

Question 11. 9 \(\frac{33}{100}\) = _____

Answer: 9.33

Explanation: 9 \(\frac{33}{100}\) = \(\frac{933}{100}\) Write down 933 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 9.33 is the answer.

Go Math Grade 4 Chapter 9 Pdf Question 12. \(\frac{92}{100}\) = _____

Answer: 0.92

Explanation: Write down 92 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 0.92 is the answer

Question 13. 14 \(\frac{16}{100}\) = _____

Answer: 14.16

Explanation: 14 \(\frac{16}{100}\) = \(\frac{1416}{100}\) Write down 1416 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 14.16 is the answer.

Page No. 504

Question 15. Describe Relationships Describe how one whole, one-tenth, and one hundredth are related. Type below: _________

Answer: One whole = 1.00 One tenth: 0.1 One hundredth: 0.01 One whole is 10 times the one-tenth, and one-tenth is 10 times the one hundredth.

Answer: The boy’s statement makes sense. Because The Memorial Library is 0.3 miles from the school. Digit 3 in the tenths place after the first place of decimal. The girl’s statement makes non-sense. Because there she said 3 miles that is not equal to 0.3 miles.

Common Core – New – Page No. 505

Relate Hundredths and Decimals

Answer: \(\frac{29}{100}\) = 0.29

Explanation: 0.20 names the same amount as 20/100. So, the given point is at 29/100 = 0.29

Answer: 1\(\frac{54}{100}\) = 1.54

Explanation: From the given image, one model is one whole and another model 54 boxes shaded out of 100. So, the answer is 1\(\frac{54}{100}\) = 1.54

Answer: 4\(\frac{62}{100}\) = 4.62

Explanation: 4.60 names the same amount as 4\(\frac{60}{100}\). So, the given point is at 4\(\frac{62}{100}\) = 4.62

Question 5. \(\frac{37}{100}\) _____

Answer: 0.37

Explanation: Write down 37 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.37

Question 6. 8 \(\frac{11}{100}\) _____

Answer: 8.11

Explanation: 8\(\frac{11}{100}\) = \(\frac{811}{100}\) Write down 811 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 8.11 is the answer.

Question 7. \(\frac{98}{100}\) _____

Answer: 0.98

Explanation: Write down 98 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.98

Question 8. 25 \(\frac{50}{100}\) _____

Answer: 25.50

Explanation: 25\(\frac{50}{100}\) = \(\frac{2550}{100}\) Write down 2550 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 25.50 is the answer.

Question 9. \(\frac{6}{100}\) _____

Answer: 0.06

Explanation: Write down 6 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.06

Question 10. There are 100 pennies in a dollar. What fraction of a dollar is 61 pennies? Write it as a fraction, as a decimal, and in word form. Type below: _________

Answer: \(\frac{61}{100}\) pennies = 0.61 = sixty-one hundredths

Explanation: There are 100 pennies in a dollar. So, for 61 pennies, there are \(\frac{61}{100}\) pennies = 0.61 = sixty-one hundredths.

Question 11. Kylee has collected 100 souvenir thimbles from different places she has visited with her family. Twenty of the thimbles are carved from wood. Write the fraction of thimbles that are wooden as a decimal. _________

Answer: It is easier to work with decimals then fractions because it is like adding whole numbers in a normal way.

Common Core – New – Page No. 506

Answer: d. 0.83

Explanation: The model is divided into 100 equal parts. Each part represents one hundredth. 83 boxes are shaded out of 100. So, the answer is \(\frac{83}{100}\) = 0.83

Question 2. There were 100 questions on the unit test. Alondra answered 97 of the questions correctly. What decimal represents the fraction of questions Alondra answered correctly? Options: a. 0.97 b. 9.70 c. 90.70 d. 970.0

Answer: a. 0.97

Explanation: There were 100 questions on the unit test. Alondra answered 97 of the questions correctly. So, \(\frac{97}{100}\) questions answered correctly. = 0.97

Question 3. Which is equivalent to \(\frac{7}{8}\)? Options: a. \(\frac{5}{8}+\frac{3}{8}\) b. \(\frac{4}{8}+\frac{1}{8}+\frac{1}{8}\) c. \(\frac{3}{8}+\frac{2}{8}+\frac{2}{8}\) d. \(\frac{2}{8}+\frac{2}{8}+\frac{1}{8}+\frac{1}{8}\)

Answer: c. \(\frac{3}{8}+\frac{2}{8}+\frac{2}{8}\)

Explanation: c. \(\frac{3}{8}+\frac{2}{8}+\frac{2}{8}\) = \(\frac{7}{8}\)

Answer: b. \(\frac{3}{10}\)

Explanation: \(\frac{9}{10}-\frac{6}{10}\). From 9 parts, 6 parts are removed. So, the remaining positions are 3.

4th Grade Go Math Relate Tenths and Decimals Question 5. Misha used \(\frac{1}{4}\) of a carton of 12 eggs to make an omelet. How many eggs did she use? Options: a. 2 b. 3 c. 4 d. 6

Answer: b. 3

Explanation: Misha used \(\frac{1}{4}\) of a carton of 12 eggs to make an omelet. \(\frac{1}{4}\) x 12 = 3 eggs.

Question 6. Kurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. Which number could be in Kurt’s pattern? Options: a. 4 b. 6 c. 10 d. 14

Answer: d. 14

Explanation: Kurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. The pattern numbers are 5, 8, 11, 14, 17, 20, etc. So, the answer is 14.

Page No. 509

Explanation: Write \(\frac{4}{10}\) as an equivalent fraction. \(\frac{4}{10}\) =\(\frac{4 × 10}{10× 10}\) = \(\frac{40}{100}\) 6 tenths is the same as 6 tenths 0 hundredths. So the decimal form = 0.40

Write the number as hundredths in fraction form and decimal form.

Question 2. \(\frac{7}{10}\) Type below: _________

Explanation: Write \(\frac{7}{10}\) as an equivalent fraction. \(\frac{7}{10}\) =\(\frac{7 × 10}{10× 10}\) = \(\frac{70}{100}\) 7 tenths is the same as 7 tenths 0 hundredths. So the decimal form = 0.70

Question 3. 0.5 Type below: _________

Explanation: Write 0.5 = \(\frac{5}{10}\) as an equivalent fraction. \(\frac{5}{10}\) =\(\frac{5 × 10}{10× 10}\) = \(\frac{50}{100}\) 5 tenths is the same as 5 tenths 0 hundredths and also 0.5

Question 4. \(\frac{3}{10}\) Type below: _________

Explanation: Write \(\frac{3}{10}\) as an equivalent fraction. \(\frac{3}{10}\) =\(\frac{3 × 10}{10× 10}\) = \(\frac{30}{100}\) 3 tenths is the same as 3 tenths 0 hundredths. So the decimal form = 0.30

Write the number as tenths in fraction form and decimal form.

Question 5. 0.40 Type below: _________

Answer: \(\frac{4}{10}\) = 0.4

Question 6. \(\frac{80}{100}\) Type below: _________

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{80}{100}\) = \(\frac{80 ÷ 10}{100 ÷ 10}\) = \(\frac{8}{10}\) 0.8

Question 7. \(\frac{20}{100}\) Type below: _________

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{20}{100}\) = \(\frac{20 ÷ 10}{100 ÷ 10}\) = \(\frac{2}{10}\) 0.2

Practice: Copy and Solve Write the number as hundredths in fraction form and decimal form.

Question 8. \(\frac{8}{10}\) Type below: _________

Explanation: Write \(\frac{8}{10}\) as an equivalent fraction. \(\frac{8}{10}\) =\(\frac{8 × 10}{10× 10}\) = \(\frac{80}{100}\) 8 tenths is the same as 8 tenths 0 hundredths. So the decimal form = 0.8

Question 9. \(\frac{2}{10}\) Type below: _________

Explanation: Write \(\frac{2}{10}\) as an equivalent fraction. \(\frac{2}{10}\) =\(\frac{2 × 10}{10× 10}\) = \(\frac{20}{100}\) 2 tenths is the same as 2 tenths 0 hundredths. So the decimal form = 0.2

Question 10. 0.1 Type below: _________

Explanation: Write 0.1 = \(\frac{1}{10}\) as an equivalent fraction. \(\frac{1}{10}\) =\(\frac{1 × 10}{10× 10}\) = \(\frac{10}{100}\) 1 tenth is the same as 1 tenth 0 hundredths and also 0.1

Practice: Copy and Solve Write the number as tenths in fraction form and decimal form.

Question 11. \(\frac{60}{100}\) Type below: _________

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{60}{100}\) = \(\frac{60 ÷ 10}{100 ÷ 10}\) = \(\frac{6}{10}\) 0.6

Question 12. \(\frac{90}{100}\) Type below: _________

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{90}{100}\) = \(\frac{90 ÷ 10}{100 ÷ 10}\) = \(\frac{9}{10}\) = 0.9

Question 13. 0.70 Type below: _________

Write the number as an equivalent mixed number with hundredths.

Question 14. 1 \(\frac{4}{10}\) = _____

Answer: 1 \(\frac{40}{100}\)

Explanation: 1 \(\frac{4 x 10}{10 x 10}\) = 1 \(\frac{40}{100}\)

Question 15. 3 \(\frac{5}{10}\) = _____

Answer: 3 \(\frac{50}{100}\)

Explanation: 3 \(\frac{5}{10}\) = 3 \(\frac{5 x 10}{10 x 10}\) = 3 \(\frac{50}{100}\)

Question 16. 2 \(\frac{9}{10}\) = _____

Answer: 2 \(\frac{90}{100}\)

Explanation: 2 \(\frac{9}{10}\) = 2 \(\frac{9 x 10}{10 x 10}\) = 2 \(\frac{90}{100}\)

Page No. 510

Question 17. Carter says that 0.08 is equivalent to \(\frac{8}{10}\). Describe and correct Carter’s error. Type below: _________

Question 18. For numbers 18a–18e, choose True or False for the statement. a. 0.6 is equivalent to \(\frac{6}{100}\). i. True ii. False

Answer: ii. False

Question 18. b. \(\frac{3}{10}\) is equivalent to 0.30. i. True ii. False

Answer: i. True

Question 18. c. \(\frac{40}{100}\) is equivalent to \(\frac{4}{10}\). i. True ii. False

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{40}{100}\) = \(\frac{40 ÷ 10}{100 ÷ 10}\) = \(\frac{4}{10}\)

Question 18. d. 0.40 is equivalent to \(\frac{4}{100}\). i. True ii. False

Question 18. e. 0.5 is equivalent to 0.50. i. True ii. False

Explanation: If you add any zeros after the 5 it will be equal to 0.5. So, 0.5 is equivalent to 0.50

Question 19. Just over \(\frac{2}{100}\) of the entire United States is inland water. Write \(\frac{2}{100}\) as a decimal. _____

Answer: 0.02

Explanation: Write down 2 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, \(\frac{2}{100}\) = 0.02 is the answer

Question 20. Can you write 0.02 as tenths? Explain. _____ tenth

Answer: 0.2 tenth

Explanation: 0.02 = \(\frac{2}{100}\) = \(\frac{2 ÷ 10}{100 ÷ 10}\) = \(\frac{0.2}{10}\)

Question 21. About 0.17 of the area of Rhode Island is inland water. Write 0.17 as a fraction. \(\frac{□}{□}\)

Answer: \(\frac{17}{100}\)

Question 22. Louisiana’s lakes and rivers cover about \(\frac{1}{10}\) of the state. Write \(\frac{1}{10}\) as hundredths in words, fraction form, and decimal form. Type below: _________

Answer: Ten hundredths = \(\frac{10}{100}\) = 0.10

Common Core – New – Page No. 511

Equivalent Fractions and Decimals

Question 2. \(\frac{9}{10}\) Type below: _________

Answer: \(\frac{90}{100}\); 0.90

Explanation: \(\frac{9}{10}\) = \(\frac{9 \times 10}{10 \times 10}\) = \(\frac{90}{100}\) 9 tenths is the same as 9 tenths and 0 hundredths. Write 0.90

Question 3. 0.2 Type below: _________

Answer: \(\frac{20}{100}\) 0.20

Question 4. 0.8 Type below: _________

Answer: \(\frac{80}{100}\) = 0.80

Question 5. \(\frac{40}{100}\) Type below: _________

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{40}{100}\) = \(\frac{40 ÷ 10}{100 ÷ 10}\) = \(\frac{4}{10}\) = 0.4

Relate Fractions and Decimals 4th Grade Question 6. \(\frac{10}{100}\) Type below: _________

Answer: \(\frac{1}{10}\) = 0.1

Explanation: 10 is a common factor of the numerator and the denominator. \(\frac{10}{100}\) = \(\frac{10 ÷ 10}{100 ÷ 10}\) = \(\frac{1}{10}\) = 0.1

Question 7. 0.60 Type below: _________

Answer: \(\frac{6}{10}\) = 0.6

Explanation: 0.60 is 60 hundredths. \(\frac{60}{100}\). 10 is a common factor of the numerator and the denominator. \(\frac{60}{100}\) = \(\frac{60 ÷ 10}{100 ÷ 10}\) = \(\frac{6}{10}\) = 0.6

Question 8. Billy walks \(\frac{6}{10}\) mile to school each day. Write \(\frac{6}{10}\) as hundredths in fraction form and in decimal form. Type below: ________

Answer: \(\frac{60}{100}\) 0.60

Question 9. Four states have names that begin with the letter A. This represents 0.08 of all the states. Write 0.08 as a fraction. \(\frac{□}{□}\)

Answer: \(\frac{8}{100}\)

Explanation: 0.08 is 8 hundredths. So, the fraction is \(\frac{8}{100}\)

Common Core – New – Page No. 512

Question 1. The fourth-grade students at Harvest School make up 0.3 of all students at the school. Which fraction is equivalent to 0.3? Options: a. \(\frac{3}{10}\) b. \(\frac{30}{10}\) c. \(\frac{3}{100}\) d. \(\frac{33}{100}\)

Answer: a. \(\frac{3}{10}\)

Explanation: 0.3 is same as the 3 tenths. So, the answer is \(\frac{3}{10}\)

Question 2. Kyle and his brother have a marble set. Of the marbles, 12 are blue. This represents \(\frac{50}{100}\) of all the marbles. Which decimal is equivalent to \(\frac{50}{100}\)? Options: a. 50 b. 5.0 c. 0.50 d. 5,000

Answer: c. 0.50

Explanation:

Write down 50 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 0.50 is the answer

Question 3. Jesse won his race by 3 \(\frac{45}{100}\) seconds. What is this number written as a decimal? Options: a. 0.345 b. 3.45 c. 34.5 d. 345

Answer: b. 3.45

Explanation: 3 \(\frac{45}{100}\) = \(\frac{345}{100}\). Write down 345 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 3.45 is the answer

Question 4. Marge cut 16 pieces of tape for mounting pictures on poster board. Each piece of tape was \(\frac{3}{8}\) inch long. How much tape did Marge use? Options: a. 2 inches b. 4 inches c. 5 inches d. 6 inches

Answer: d. 6 inches

Explanation: \(\frac{3}{8}\) x 16 = 6 inches

Question 5. Of Katie’s pattern blocks, \(\frac{9}{12}\) are triangles. What is \(\frac{9}{12}\) in simplest form? Options: a. \(\frac{1}{4}\) b. \(\frac{2}{3}\) c. \(\frac{3}{4}\) d. \(\frac{9}{12}\)

Answer: c. \(\frac{3}{4}\)

Explanation: \(\frac{9}{12}\) is divided by 3. So, \(\frac{3}{4}\) is the answer.

Question 6. A number pattern has 75 as its first term. The rule for the pattern is to subtract 6. What is the sixth term? Options: a. 39 b. 45 c. 51 d. 69

Answer: b. 45

Explanation: 75 is the first term. 75 – 6 =69 69 – 6 = 63 63 – 6 = 57 57 – 6 = 51 51 – 6 = 45. The sixth term is 45.

Page No. 515

Answer: 5 pennies = \(\frac{5}{100}\) of a dollar = 0.05 of a dollar. 0.05 of a dollar

Explanation: Write down 5 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.05

Write the total money amount. Then write the amount as a fraction or a mixed number and as a decimal in terms of dollars.

Answer: \(\frac{109}{100}\) = 1.09

Explanation: 1 dollar = 1/10 dimes 1 dollar = 1/100 pennies 1 dollar = 25/100 quarters (3 x 1/10) + (4 x 1/100) + (3 x 25/100) 3/10 + 4/100 + 75/100 30/100 + 4/100 + 75/100 = 109/100 = 1.09

Answer: \(\frac{60}{100}\) = 0.60

Explanation: Given that 1 quarter, 2 dimes, and 3 cents. 10 dimes = 1 dollars 100 pennies = 1 dollar 4 quarters = 1 dollar 2 cents = 1 dollar (25/100) + (2 x 1/10) + (3 x 5/100) = 25/100 + 20/100 + 15/100 = 60/100 = 0.60

Write as a money amount and as a decimal in terms of dollars.

Question 4. \(\frac{92}{100}\) amount: _____ decimal: _____of a dollar

Answer: amount: $0.92 decimal: 0.92 of a dollar

Explanation: \(\frac{92}{100}\) = 0.92

Question 5. \(\frac{7}{100}\) money amount: $ _____ decimal: _____ of a dollar

Answer: money amount: $0.07 decimal: 0.07 of a dollar

Explanation: \(\frac{7}{100}\) = 0.07

Question 6. \(\frac{16}{100}\) money amount: $ _____ decimal: _____ of a dollar

Answer: money amount: $0.16 decimal: 0.16 of a dollar

Explanation: \(\frac{16}{100}\) = 0.16

Question 7. \(\frac{53}{100}\) money amount: $ _____ decimal: _____ of a dollar

Answer: money amount: $0.53 decimal: 0.53 of a dollar

Explanation: \(\frac{53}{100}\) = 0.53

Answer: \(\frac{46}{100}\) = 0.46

Explanation: Given that 3 dimes, 3 nickels, 1 pennies (3 x 10/100) + (3 x 5/100) + 1/100 = 30/100 + 15/100 + 1/100 = 46/100 = 0.46

Answer: \(\frac{136}{100}\) = 1.36

Explanation: Given that 1 dollar, 1 quarter, 1 pennies, 2 nickels 1 + 25/100 + 1/100 + (2 x 5/100) 1 + 25/100 + 1/100 + 10/100 1 + 36/100 136/100 = 1.36

Question 10. \(\frac{27}{100}\) money amount: $ _____ decimal: _____ of a dollar

Answer: amount: $0.27 decimal: 0.27 of a dollar

Explanation: \(\frac{27}{100}\) = 0.27

Question 11. \(\frac{4}{100}\) money amount: $ _____ decimal: _____ of a dollar

Answer: amount: $0.04 decimal: 0.04 of a dollar

Explanation: \(\frac{4}{100}\) = 0.04

Go Math Grade 4 Chapter 9 Test Answer Key Question 12. \(\frac{75}{100}\) money amount: $ _____ decimal: _____ of a dollar

Answer: amount: $0.75 decimal: 0.75 of a dollar

Explanation: \(\frac{75}{100}\) = 0.75

Question 13. \(\frac{100}{100}\) money amount: $ _____ decimal:_____ of a dollar

Answer: money amount: $1 decimal: 1 of a dollar

Explanation: \(\frac{100}{100}\) = 1

Write the total money amount. Then write the amount as a fraction and as a decimal in terms of dollars.

Question 14. 1 quarter 6 dimes 8 pennies Type below: _________

Answer: money amount: $0.39; fraction: \(\frac{39}{100}\) decimal: 0.39 of a dollar

Explanation: 1 dollar = 100 cents 1 quarter = 25 cents 1 dime = 10 cents 1 penny = 1 cent 1 quarter 6 dimes 8 pennies = (25/100) + (6 x 10/100) + (8 x 1/100) 25/100 + 60/100 + 8/100 = 39/100 = 0.39

Question 15. 3 dimes 5 nickels 20 pennies Type below: _________

Answer: money amount: $0.75; fraction: \(\frac{75}{100}\) decimal: 0.75 of a dollar

Explanation: 1 dollar = 100 cents 1 quarter = 25 cents 1 dime = 10 cents 1 penny = 1 cent 3 dimes 5 nickels 20 pennies = (3 x 10/100) + (5 x 5/100) + (20 x 1/100) 30/100 + 25/100 + 20/100 = 75/100 = 0.75

Page No. 516

Make Connections Algebra Complete to tell the value of each digit.

Question 16. a. $1.05 = _____ dollar + _____ pennies;

Answer: $1.05 = 1 dollar + 5 pennies

Question 16. b. 1.05 = _____ one + _____ hundredths

Answer: 1.05 = 1 one and 05 hundredths

Question 17. a. $5.18 = _____ dollars + _____ dime + _____ pennies;

Answer: $5.18 = 5 dollars + 1 dime + 8 pennies;

Question 17. b. 5.18 = _____ ones + _____ tenth + _____ pennies

Answer: 5.18 = 5 ones + 1 tenths + 8 pennies

Question 18. The table shows the coins three students have. Write Nick’s total amount as a fraction in terms of dollars. \(\frac{□}{□}\) of a dollar

Answer: \(\frac{92}{100}\) of a dollar

Explanation: Nick’s total amount = 2 quarters + 4 dimes + 0 Nickels + 2 pennies = (2 x 25/100) + (4 x 10/100) + (2 x 1/100) = 50/100 + 40/100 + 2/100 = 92/100

Question 19. Kim spent \(\frac{40}{100}\) of a dollar on a snack. Write as a money amount the amount she has left. $ _____

Answer: $0.28

Explanation: Kim’s total amount = 1 quarter + 3 dimes + 2 nickels + 3 pennies = 25/100 + (3 x 10/100) + (2 x 5/100) + (3 x 1/100) = 25/100 + 30/100 + 10/100 + 3/100 = 68/100. Kim spent \(\frac{40}{100}\) of a dollar on a snack. So, 68/100 – 40/100 = 28/100 = 0.28

Question 20. Travis has \(\frac{1}{2}\) of a dollar. He has at least two different types of coins in his pocket. Draw two possible sets of coins that Travis could have. Type below: _________

Explanation: 1 Quarter + 2 dimes + 5 Pennies = 25/100 + 10/100 + 10/100 + 5/100 = 50/100 = 1/2 of a dollar 1 Quarter + 2 dimes + 1 Nickel = 25/100 + 10/100 + 10/100 + 5/100 = 50/100 = 1/2 of a dollar

Common Core – New – Page No. 517

Relate Fractions, Decimals, and Money

Answer: $0.18 = \(\frac{18}{100}\) = 0.18

Explanation: Given that 3 Pennies + 3 Nickels = 3/100 + 15/100 = 18/100

Answer: $0.56 = \(\frac{56}{100}\) = 0.56

Explanation: Given that 1 Quarter + 3 dime + 1 Pennies = 25/100 + 30/100 + 1/100 = 56/100

Question 3. \(\frac{25}{100}\) Dollars: _____ Decimal: _____

Answer: Dollars: 1 quarter = $0.25; Decimal: 0.25

Explanation: 25 our of 100 dollars = 1 quarter. So, 25/100 = 0.25

Question 4. \(\frac{79}{100}\) Dollars: _____ Decimal: _____

Answer: amount: $0.79 decimal: 0.79 of a dollar

Explanation: \(\frac{79}{100}\) = 0.79

Question 5. \(\frac{31}{100}\) Dollars: _____ Decimal: _____

Answer: amount: $0.31 decimal: 0.31 of a dollar

Explanation: \(\frac{31}{100}\) = 0.31

Question 6. \(\frac{8}{100}\) Dollars: _____ Decimal: _____

Answer: amount: $0.08 decimal: 0.08 of a dollar

Explanation: \(\frac{8}{100}\) = 0.08

Question 7. \(\frac{42}{100}\) Dollars: _____ Decimal: _____

Answer: amount: $0.42 decimal: 0.42 of a dollar

Explanation: \(\frac{42}{100}\) = 0.42

Write the money amount as a fraction in terms of dollars.

Question 8. $0.87 \(\frac{□}{□}\)

Answer: \(\frac{87}{100}\) of a dollar

Question 9. $0.03 \(\frac{□}{□}\)

Answer: \(\frac{3}{100}\)

Question 10. $0.66 \(\frac{□}{□}\)

Answer: \(\frac{66}{100}\)

Question 11. $0.95 \(\frac{□}{□}\)

Answer: \(\frac{95}{100}\)

Question 12. $1.00 \(\frac{□}{□}\)

Answer: \(\frac{100}{100}\)

Question 13. 2 quarters 2 dimes Type below: _________

Answer: money amount: $0.70; fraction: \(\frac{70}{100}\); decimal: 0.70

Explanation: Given that 2 quarters 2 dimes = (2 x 25/100) + (2 x 10/100) = 50/100 + 20/100 = 70/100

Question 14. 3 dimes 4 pennies Type below: _________

Answer: money amount: $0.34; fraction: \(\frac{34}{100}\); decimal: 0.34

Explanation: Given that 3 dimes 4 pennies = (3 x 10/100) + (4 x 1/100) = 30/100 + 4/100 = 34/100

4th Grade Go Math Pdf Lesson 9.5 Answer Key Question 15. 8 nickels 12 pennies Type below: _________

Answer: money amount: $0.57; fraction: \(\frac{57}{100}\); decimal: 0.57

Explanation: Given that 8 nickels 12 pennies = (8 x 5/100) + (12 x 1/100) = 45/100 + 12/100 = 57/100

Question 16. Kate has 1 dime, 4 nickels, and 8 pennies. Write Kate’s total amount as a fraction in terms of a dollar. \(\frac{□}{□}\)

Answer: fraction: \(\frac{38}{100}\)

Explanation: Kate has 1 dime, 4 nickels, and 8 pennies. 10/100 + (4 x 5/100) + (8/100) = 10/100 + 20/100 + 8/100 = 38/100

Question 17. Nolan says he has \(\frac{75}{100}\) of a dollar. If he only has 3 coins, what are the coins? _________

Answer: 3 quarters

Explanation: 3 quarters = \(\frac{25}{100}\) + \(\frac{25}{100}\) + \(\frac{25}{100}\) = \(\frac{75}{100}\)

Common Core – New – Page No. 518

Answer: d. \(\frac{43}{100}\)

Explanation: Given that 1 quarter + 1 nickel + 1 dime + 3 pennies = 25/100 + 5/100 + 10/100 + 3/100 = 43/100

Question 2. Crystal has \(\frac{81}{100}\) of a dollar. Which of the following could be the coins Crystal has? Options: a. 3 quarters, 1 dime, 1 penny b. 2 quarters, 6 nickels, 1 penny c. 2 quarters, 21 pennies d. 1 quarter, 4 dimes, 1 nickel, 1 penny

Answer: b. 2 quarters, 6 nickels, 1 penny

Explanation: 2 quarters, 6 nickels, 1 penny = (2 x 25/100) + (6 x 5/100) + 1/100 = 50/100 + 30/100 + 1/100 = 81/100

Question 3. Joel gives \(\frac{1}{3}\) of his baseball cards to his sister. Which fraction is equivalent to \(\frac{1}{3}\)? Options: a. \(\frac{3}{5}\) b. \(\frac{2}{6}\) c. \(\frac{8}{9}\) d. \(\frac{4}{10}\)

Answer: b. \(\frac{2}{6}\)

Explanation: \(\frac{2}{6}\) is divided by 2. The remaining answer after the dividion is \(\frac{1}{3}\).

Question 4. Penelope bakes pretzels. She salts \(\frac{3}{8}\) of the pretzels. Which fraction is equivalent to \(\frac{3}{8}\)? Options: a. \(\frac{9}{24}\) b. \(\frac{15}{20}\) c. \(\frac{3}{16}\) d. \(\frac{1}{5}\)

Answer: a. \(\frac{9}{24}\)

Explanation: a. \(\frac{9}{24}\) is divided by 3. The remaining fraction after the division is \(\frac{3}{8}\).

Answer: d. 0.01

Explanation: 1 box is shaded out of 100. So, the fraction is 1/100 = 0.01.

Question 6. Mr. Guzman has 100 cows on his dairy farm. Of the cows, 57 are Holstein. What decimal represents the portion of cows that are Holstein? Options: a. 0.43 b. 0.57 c. 5.7 d. 57.0

Answer: b. 0.57

Explanation: Mr. Guzman has 100 cows on his dairy farm. Of the cows, 57 are Holstein. So, 57/100 Holstein cows are available. 57/100 = 0.57

Page No. 521

Question 2. What if Juan has $3.43, and he wants to buy a paint brush that costs $2.28? How much money will Juan have left then? Explain. $ _____

Answer: $1.15

Explanation: Juan has $3.43. He wants to buy a paint brush that costs $2.28. $3.43 – $2.28 = $1.15

Question 3. Sophia has $2.25. She wants to give an equal amount to each of her 3 young cousins. How much will each cousin receive? $ _____ each cousin receive

Answer: $0.75 each cousin receive

Explanation: Sophia has $2.25. She wants to give an equal amount to each of her 3 young cousins. Divide $2.25 with 3 = $2.25/3 = $0.75

Page No. 522

Question 4. Marcus saves $13 each week. In how many weeks will he have saved at least $100? _____ weeks

Answer: 8 weeks

Explanation: Marcus saves $13 each week. He saves $100 in $100/$13 weeks = 7.96 weeks that is nearly equal to 8 weeks.

Question 5. Analyze Relationships Hoshi has $50. Emily has $23 more than Hoshi. Karl has $16 less than Emily. How much money do they have all together? $ _____

Answer: $180

Explanation: Hoshi has $50. Emily has $23 more than Hoshi = $50 + $23 = $73. Karl has $16 less than Emily = $73 – $16 = $57. All together = $50 +$73 + $57 = $180.

Question 6. Four girls have $5.00 to share equally. How much money will each girl get? Explain. $ _____ each girl

Answer: $1.25 for each girl

Explanation: Four girls have $5.00 to share equally. So, each girl get $5.00/4 = $1.25

Question 7. What if four girls want to share $5.52 equally? How much money will each girl get? Explain. $ _____

Answer: $1.38

Explanation: Four girls have $5.52 to share equally. So, each girl get $5.52/4 = $1.38. If the amount shares equally, each girl get 1 dollar, 1 dime, 8 pennies.

Question 8. Aimee and three of her friends have three quarters and one nickel. If Aimee and her friends share the money equally, how much will each person get? Explain how you found your answer. $ _____

Answer: $0.2

Explanation: Aimee and three of her friends have three quarters and one nickel. If Aimee and her friends share the money equally. Four members shared (3 x 25/100) + 5/100 = 75/100 + 5/100 = 80/100 = 0.8. Four members shared $0.8 equally, $0.8/4 = $0.2.

Common Core – New – Page No. 523

Problem Solving Money

Use the act it out strategy to solve.

Question 2. Together, Xavier, Yolanda, and Zachary have $4.44. If each person has the same amount, how much money does each person have? $ __________

Answer: $1.11

Explanation: Together, Xavier, Yolanda, and Zachary have $4.44. If each person has the same amount, $4.44/4 = $1.11

Question 3. Marcus, Nan, and Olive each have $1.65 in their pockets. They decide to combine the money. How much money do they have altogether? $ __________

Answer: $4.95

Explanation: Marcus, Nan, and Olive each have $1.65 in their pockets. They decide to combine the money. So, $1.65 + $1.65 + $1.65 = $4.95

Question 4. Jessie saves $6 each week. In how many weeks will she have saved at least $50? __________ weeks

Answer: 9 weeks

Explanation: Jessie saves $6 each week. To save $50, $50/$6 = 9 weeks (approximately)

Question 5. Becca has $12 more than Cece. Dave has $3 less than Cece. Cece has $10. How much money do they have altogether? $ __________

Answer: $39

Explanation: Cece has $10. Becca has $12 more than Cece = $10 + $12 = $22. Dave has $3 less than Cece = $10 – $3 = $7. All together = $10 + $22 + $7 = $39.

Common Core – New – Page No. 524

Question 1. Four friends earned $5.20 for washing a car. They shared the money equally. How much did each friend get? Options: a. $1.05 b. $1.30 c. $1.60 d. $20.80

Answer: b. $1.30

Explanation: Four friends earned $5.20 for washing a car. They shared the money equally. $5.20/4 = $1.30

Question 2. Which represents the value of one $1 bill and 5 quarters? Options: a. $1.05 b. $1.25 c. $1.50 d. $2.25

Answer: d. $2.25

Explanation: one $1 bill and 5 quarters. 5 quarters = 5 x 0.25 = 1.25. $1 + $1.25 = $2.25

Question 3. Bethany has 9 pennies. What fraction of a dollar is this? Options: a. \(\frac{9}{100}\) b. \(\frac{9}{10}\) c. \(\frac{90}{100}\) d. \(\frac{99}{100}\)

Answer: a. \(\frac{9}{100}\)

Explanation: 1 dollar = 100 pennies. So, 9 pennies = 9/100 of a dollar

Question 4. Michael made \(\frac{9}{12}\) of his free throws at practice. What is \(\frac{9}{12}\) in simplest form? Options: a. \(\frac{1}{4}\) b. \(\frac{3}{9}\) c. \(\frac{1}{2}\) d. \(\frac{3}{4}\)

Answer: d. \(\frac{3}{4}\)

Explanation: \(\frac{9}{12}\) is divided by 3 that is equal to d. \(\frac{3}{4}\).

Question 5. I am a prime number between 30 and 40. Which number could I be? Options: a. 31 b. 33 c. 36 d. 39

Answer: a. 31

Explanation: 31 has fractions 1 and 31.

Question 6. Georgette is using the benchmark \(\frac{1}{2}\) to compare fractions. Which statement is correct? Options: a. \(\frac{3}{8}>\frac{1}{2}\) b. \(\frac{2}{5}<\frac{1}{2}\) c. \(\frac{7}{12}<\frac{1}{2}\) d. \(\frac{9}{10}=\frac{1}{2}\)

Answer: b. \(\frac{2}{5}<\frac{1}{2}\)

Explanation: From the given details, \(\frac{2}{5}<\frac{1}{2}\) is the correct answer.

Page No. 525

Question 1. A symbol used to separate the ones and the tenths place is called a __________. __________

Answer: decimal point

Question 2. The number 0.4 is written as a ____________. __________

Answer: 4 tenths or 40 hundredths

Question 3. A ______________ is one of one hundred equal parts of a whole. __________

Answer: hundredth

Explanation: From the given model, 4 boxes are shaded out of 10 boxes. So, the fraction is \(\frac{4}{10}\) = 0.4

Answer: 1\(\frac{3}{100}\) = 1.03

Explanation: The model is divided into 100 equal parts. Each part represents the one-hundredth. 1\(\frac{3}{100}\) is 1 whole and 3 hundredths.

Question 6. \(\frac{8}{10}\) Type below: ________

Explanation: Write \(\frac{8}{10}\) as an equivalent fraction. \(\frac{8}{10}\) =\(\frac{8 × 10}{10× 10}\) = \(\frac{80}{100}\) 8 tenths is the same as 8 tenths 0 hundredths. So the decimal form = 0.80

Question 7. 0.5 Type below: ________

Explanation: Write 0.5 = \(\frac{5}{10}\) as an equivalent fraction. \(\frac{5}{10}\) =\(\frac{5 × 10}{10× 10}\) = \(\frac{50}{100}\) 5 tenths is the same as 5 tenths 0 hundredths and also 0.50

Question 8. Type below: ________

Write the fraction or mixed number as a money amount, and as a decimal in terms of dollars.

Question 9. \(\frac{95}{100}\) amount: $ _____ decimal: _____ of a dollar

Answer: amount: $0.95; decimal: 0.95

Explanation: Write down 95 with the decimal point 2 spaces from the right (because 100 has 2 zeros)

Question 10. 1 \(\frac{48}{100}\) amount: $ _____ decimal: _____ of a dollar

Answer: amount: $1.48; decimal: 1.48

Explanation: 1\(\frac{48}{100}\) = \(\frac{148}{100}\) Write down 148 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 1.48 is the answer

Question 11. \(\frac{4}{100}\) amount: $ _____ decimal: _____ of a dollar

Answer: amount: $0.04; decimal: 0.04

Explanation: Write down 4 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, the answer is 0.04

Page No. 526

Question 12. Ken’s turtle competed in a 0.50-meter race. His turtle had traveled \(\frac{4}{100}\) meter when the winning turtle crossed the finish line. What is \(\frac{4}{100}\) written as a decimal? _____

Answer: decimal: 0.04

Question 13. Alex lives eight tenths of a mile from Sarah. What is eight tenths written as a decimal? _____

Answer: decimal: 0.8

Explanation: Write down 8 with the decimal point 1 space from the right (because 100 has 1 zero). The decimal value of eight-tenths is 0.8

Go Math 4th Grade Lesson 9.6 Answer Key Question 14. What fraction and decimal, in hundredths, is equivalent to \(\frac{7}{10}\)? Type below: ________

Answer: \(\frac{7 x 10}{10 x 10}\) = 0.70

Explanation: \(\frac{7}{10}\) = \(\frac{7 x 10}{10 x 10}\) = 0.70

Answer: $\(\frac{140}{100}\)

Explanation: Given that 1 dollar, 1 quarter, 1 dime, 1 Nickel. 1 + 25/100 + 10/100 + 5/100 = 1 + 40/100 = 140/100

Question 16. Three girls share $0.60. Each girl gets the same amount. How much money does each girl get? $ _____

Answer: $0.20

Explanation: Three girls share $0.60. Each girl gets the same amount. So, $0.60/3 = $0.20

Question 17. The deli scale weighs meat and cheese in hundredths of a pound. Sam put \(\frac{5}{10}\) pound of pepperoni on the deli scale. What weight does the deli scale show? _____ hundredths

Answer: 50 hundredths

Explanation: \(\frac{5}{10}\) = \(\frac{5 x 10}{10 x 10}\) = \(\frac{50}{100}\). \(\frac{50}{100}\) written as 50 hundredths.

Page No. 529

Question 1. Find \(\frac{7}{10}+\frac{5}{100}\) Think: Write the addends as fractions with a common denominator. \(\frac{■}{100}\) + \(\frac{■}{100}\) = \(\frac{■}{■}\) \(\frac{□}{□}\)

Explanation: \(\frac{7}{10}+\frac{5}{100}\). Write the addends as fractions with a common denominator \(\frac{7}{10}\) = \(\frac{7 X 10}{10 X 10}\) = \(\frac{70}{100}\). \(\frac{70}{100}+\frac{5}{100}\) = \(\frac{75}{100}\)

Find the sum.

Question 2. \(\frac{1}{10}+\frac{11}{100}\) = \(\frac{□}{□}\)

Answer: \(\frac{21}{100}\)

Explanation: \(\frac{1}{10}+\frac{11}{100}\). Write the addends as fractions with a common denominator \(\frac{1}{10}\) = \(\frac{1 X 10}{10 X 10}\) = \(\frac{10}{100}\). \(\frac{10}{100}+\frac{11}{100}\) = \(\frac{21}{100}\)

Question 3. \(\frac{36}{100}+\frac{5}{10}\) = \(\frac{□}{□}\)

Answer: \(\frac{86}{100}\)

Explanation: \(\frac{36}{100}+\frac{5}{10}\). Write the addends as fractions with a common denominator \(\frac{5}{10}\) = \(\frac{5 X 10}{10 X 10}\) = \(\frac{50}{100}\). \(\frac{36}{100}+\frac{50}{100}\) = \(\frac{86}{100}\).

Question 4. $0.16 + $0.45 = $ _____

Answer: $0.61

Explanation: Think 0.16 as 16 hundredths = \(\frac{16}{100}\). Think 0.45 as 45 hundredths = \(\frac{45}{100}\). Write the addends as fractions with a common denominator \(\frac{16}{100}\) + \(\frac{45}{100}\) = \(\frac{61}{100}\) = 0.61

Question 5. $0.08 + $0.88 = $ _____

Answer: $0.96

Explanation: Think 0.08 as 8 hundredths = \(\frac{8}{100}\). Think 0.88 as 88 hundredths = \(\frac{88}{100}\). Write the addends as fractions with a common denominator. \(\frac{8}{100}\) + \(\frac{88}{100}\) = \(\frac{96}{100}\) = 0.96

Question 6. \(\frac{6}{10}+\frac{25}{100}\) = \(\frac{□}{□}\)

Answer: \(\frac{85}{100}[/latex

Explanation: [latex]\frac{6}{10}+\frac{25}{100}\) Write the addends as fractions with a common denominator. \(\frac{6}{10}\) = \(\frac{6 X 10}{10 X 10}\) = \(\frac{60}{100}\). \(\frac{60}{100}+\frac{25}{100}\) = \(\frac{85}{100}\).

Question 7. \(\frac{7}{10}+\frac{7}{100}\) = \(\frac{□}{□}\)

Explanation: \(\frac{7}{10}+\frac{7}{100}\) Write the addends as fractions with a common denominator. \(\frac{7}{10}\) = \(\frac{7 X 10}{10 X 10}\) = \(\frac{70}{100}\). \(\frac{70}{100}+\frac{7}{100}\) = \(\frac{77}{100}\).

Question 8. $0.55 + $0.23 = $ _____

Answer: $0.78

Explanation: Think 0.55 as 55 hundredths = \(\frac{55}{100}\). Think 0.23 as 23 hundredths = \(\frac{23}{100}\). Write the addends as fractions with a common denominator. \(\frac{55}{100}\) + \(\frac{23}{100}\) = \(\frac{78}{100}\) = 0.78.

Question 9. $0.19 + $0.13 = $ _____

Answer: $0.32

Explanation: Think 0.19 as 19 hundredths = \(\frac{19}{100}\). Think 0.13 as 13 hundredths = \(\frac{13}{100}\). Write the addends as fractions with a common denominator. \(\frac{19}{100}\) + \(\frac{13}{100}\) = \(\frac{32}{100}\) = 0.32.

Reason Quantitatively Algebra Write the number that makes the equation true.

Question 10. \(\frac{20}{100}+\frac{■}{10}\) = \(\frac{60}{100}\) ■ = _____

Answer: ■ = 4

Explanation: \(\frac{20}{100}+\frac{■}{10}\) = \(\frac{60}{100}\). Let the unknown number = s. If s = 4, \(\frac{20}{100}+\frac{4}{10}\). Write the addends as fractions with a common denominator. \(\frac{4}{10}\) = \(\frac{4 X 10}{10 X 10}\) = \(\frac{40}{100}\). \(\frac{20}{100}+\frac{40}{100}\) = \(\frac{60}{100}\). So, the unknown number is 4.

Question 11. \(\frac{2}{10}+\frac{■}{100}\) = \(\frac{90}{100}\) ■ = _____

Answer: ■ = 70

Explanation: \(\frac{2}{10}+\frac{■}{100}\) = \(\frac{90}{100}\). Let the unknown number = s. If s = 70, \(\frac{2}{10}+\frac{7}{100}\). Write the addends as fractions with a common denominator. \(\frac{2}{10}\) = \(\frac{2 X 10}{10 X 10}\) = \(\frac{20}{100}\). \(\frac{20}{100}+\frac{70}{100}\) = \(\frac{90}{100}\). So, the unknown number is 70.

Question 12. Jerry had 1 gallon of ice cream. He used \(\frac{3}{10}\) gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes. How much ice cream does Jerry have left after making the milkshakes? _____ gallon

Answer: 0.30 gallon

Explanation: Jerry had 1 gallon of ice cream. He used \(\frac{3}{10}\) gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes. So, write 0.40 as \(\frac{40}{100}\) gallon. She used \(\frac{3}{10}\) + \(\frac{40}{100}\). \(\frac{3}{10}\) = \(\frac{3 X 10}{10 X 10}\) = \(\frac{30}{100}\). \(\frac{30}{100}\) + \(\frac{40}{100}\) = \(\frac{70}{100}\) Jerry have left 1 – \(\frac{70}{100}\) = \(\frac{30}{100}\) = 0.30 gallon

Page No. 530

Question 13. Dean selects Teakwood stones and Buckskin stones to pave a path in front of his house. How many meters long will each set of one Teakwood stone and one Buckskin stone be? _____ meter

Answer: \(\frac{71}{100}\) meter

Explanation: Dean selects Teakwood stones and Buckskin stones to pave a path in front of his house. Teakwood stone and one Buckskin stone = \(\frac{3}{10}\) + \(\frac{41}{100}\). Write the addends as fractions with a common denominator. \(\frac{3}{10}\) = \(\frac{3 X 10}{10 X 10}\) = \(\frac{30}{100}\). \(\frac{30}{100}\) + \(\frac{41}{100}\) = \(\frac{71}{100}\)

Go Math 4th Grade Lesson 9.7 Compare Decimals Question 14. The backyard patio at Nona’s house is made from a repeating pattern of one Rose stone and one Rainbow stone. How many meters long is each pair of stones? _____ meter

Answer: \(\frac{68}{100}\) meter

Explanation: The backyard patio at Nona’s house is made from a repeating pattern of one Rose stone and one Rainbow stone. Each pair of stone = \(\frac{8}{100}\) + \(\frac{6}{10}\). \(\frac{6}{10}\) = \(\frac{6 X 10}{10 X 10}\) = \(\frac{60}{100}\). Each pair of stone = \(\frac{8}{100}\) + \(\frac{60}{100}\) = \(\frac{68}{100}\).

Question 15. For a stone path, Emily likes the look of a Rustic stone, then a Rainbow stone, and then another Rustic stone. How long will the three stones in a row be? Explain. _____ meter

Answer: \(\frac{90}{100}\) meter

Explanation: For a stone path, Emily likes the look of a Rustic stone, then a Rainbow stone, and then another Rustic stone. If three stones in a row, then \(\frac{15}{100}\) + \(\frac{6}{10}\) + \(\frac{15}{100}\). \(\frac{30}{100}\) + \(\frac{6}{10}\). \(\frac{6}{10}\) = \(\frac{6 X 10}{10 X 10}\) = \(\frac{60}{100}\). \(\frac{30}{100}\) + \(\frac{60}{100}\) = \(\frac{90}{100}\).

Question 16. Which two stones can you place end-to-end to get a length of 0.38 meter? Explain how you found your answer. Type below: ________

Answer: If you add Teakwood stones and Rose stones, then you get a length of 0.38 meter. \(\frac{3}{10}\) + \(\frac{8}{100}\). \(\frac{3}{10}\) = \(\frac{3 X 10}{10 X 10}\) = \(\frac{30}{100}\). \(\frac{30}{100}\) + \(\frac{8}{100}\) = latex]\frac{38}{100}[/latex] = 0.38. If you add any other two stones, the answer will not equal to 0.38.

Answer: \(\frac{60}{100}\) + \(\frac{15}{100}\) = \(\frac{75}{100}\) meter

Explanation: \(\frac{6}{10}\) + \(\frac{15}{100}\). \(\frac{6}{10}\) = \(\frac{6 X 10}{10 X 10}\) = \(\frac{60}{100}\). \(\frac{60}{100}\) + \(\frac{15}{100}\) = \(\frac{75}{100}\).

Common Core – New – Page No. 531

Add Fractional Parts of 10 and 100

Answer: \(\frac{63}{100}\)

Question 2. \(\frac{17}{100}+\frac{6}{10}\) \(\frac{□}{□}\)

Answer: \(\frac{77}{100}\)

Explanation: \(\frac{17}{100}+\frac{6}{10}\). \(\frac{6 \times 10}{10 \times 10}=\frac{60}{100}\) \(\frac{17}{100}+\frac{60}{100}\) = \(\frac{77}{100}\)

Question 3. \(\frac{9}{100}+\frac{4}{10}\) \(\frac{□}{□}\)

Answer: \(\frac{49}{100}\)

Explanation: \(\frac{9}{100}+\frac{4}{10}\). \(\frac{4 \times 10}{10 \times 10}=\frac{40}{100}\) \(\frac{9}{100}+\frac{40}{100}\) = \(\frac{49}{100}\)

Question 4. \(\frac{7}{10}+\frac{23}{100}\) \(\frac{□}{□}\)

Answer: \(\frac{93}{100}\)

Explanation: \(\frac{7}{10}+\frac{23}{100}\). \(\frac{7 \times 10}{10 \times 10}=\frac{70}{100}\) \(\frac{70}{100}+\frac{23}{100}\) = \(\frac{93}{100}\)

Question 5. $0.48 + $0.30 $ _____

Explanation: Think $0.48 as \(\frac{48}{100}\). Think $0.30 as \(\frac{30}{100}\). \(\frac{48}{100}+\frac{30}{100}\) = \(\frac{78}{100}\) = $0.78

Question 6. $0.25 + $0.34 $ _____

Answer: $0.59

Explanation: Think $0.25 as \(\frac{25}{100}\). Think $0.34 as \(\frac{34}{100}\). \(\frac{25}{100}+\frac{34}{100}\) = \(\frac{59}{100}\) = $0.59

Question 7. $0.66 + $0.06 $ _____

Answer: $0.72

Explanation: Think $0.66 as \(\frac{66}{100}\). Think $0.06 as \(\frac{6}{100}\). \(\frac{66}{100}+\frac{6}{100}\) = \(\frac{72}{100}\) = $0.72

Question 8. Ned’s frog jumped \(\frac{38}{100}\) meter. Then his frog jumped \(\frac{4}{10}\) meter. How far did Ned’s frog jump in all? \(\frac{□}{□}\)

Answer: \(\frac{78}{100}\) meter

Explanation: Ned’s frog jumped \(\frac{38}{100}\) meter. Then his frog jumped \(\frac{4}{10}\) meter. So, together \(\frac{38}{100}\) + \(\frac{4}{10}\) jumped. \(\frac{4}{10}\) = \(\frac{4 \times 10}{10 \times 10}=\frac{40}{100}\). \(\frac{38}{100}\) + \(\frac{40}{100}\) = \(\frac{78}{100}\).

Question 9. Keiko walks \(\frac{5}{10}\) kilometer from school to the park. Then she walks \(\frac{19}{100}\) kilometer from the park to her home. How far does Keiko walk in all? \(\frac{□}{□}\)

Answer: \(\frac{69}{100}\) kilometer

Explanation: Keiko walks \(\frac{5}{10}\) kilometer from school to the park. Then she walks \(\frac{19}{100}\) kilometer from the park to her home. Total = \(\frac{5}{10}\) + \(\frac{19}{100}\) kilometer. \(\frac{5}{10}\) = \(\frac{5 \times 10}{10 \times 10}=\frac{50}{100}\). \(\frac{50}{100}\) + \(\frac{19}{100}\) = \(\frac{69}{100}\).

Common Core – New – Page No. 532

Question 1. In a fish tank, \(\frac{2}{10}\) of the fish were orange and \(\frac{5}{100}\) of the fish were striped. What fraction of the fish were orange or striped? Options: a. \(\frac{7}{10}\) b. \(\frac{52}{100}\) c. \(\frac{25}{100}\) d. \(\frac{7}{100}\)

Answer: c. \(\frac{25}{100}\)

Explanation: In a fish tank, \(\frac{2}{10}\) of the fish were orange and \(\frac{5}{100}\) of the fish were striped. To find the raction of the fish were orange or striped Add \(\frac{2}{10}\) and \(\frac{5}{100}\). \(\frac{2}{10}\) = \(\frac{2 \times 10}{10 \times 10}=\frac{20}{100}\). \(\frac{20}{100}\) + \(\frac{5}{100}\) = \(\frac{25}{100}\).

Question 2. Greg spends $0.45 on an eraser and $0.30 on a pen. How much money does Greg spend in all? Options: a. $3.45 b. $0.75 c. $0.48 d. $0.15

Answer: b. $0.75

Explanation: Think $0.45 as \(\frac{45}{100}\). Think $0.30 as \(\frac{30}{100}\). \(\frac{45}{100}+\frac{30}{100}\) = \(\frac{75}{100}\) = $0.75.

Question 3. Phillip saves $8 each month. How many months will it take him to save at least $60? Options: a. 6 months b. 7 months c. 8 months d. 9 months

Answer: c. 8 months

Explanation: Phillip saves $8 each month. To save at least $60, \(\frac{60}{8}\) = 8 months (approximately)

Question 4. Ursula and Yi share a submarine sandwich. Ursula eats \(\frac{2}{8}\) of the sandwich. Yi eats \(\frac{3}{8}\) of the sandwich. How much of the sandwich do the two friends eat? Options: a. \(\frac{1}{8}\) b. \(\frac{4}{8}\) c. \(\frac{5}{8}\) d. \(\frac{6}{8}\)

Answer: c. \(\frac{5}{8}\)

Explanation: Ursula and Yi share a submarine sandwich. Ursula eats \(\frac{2}{8}\) of the sandwich. Yi eats \(\frac{3}{8}\) of the sandwich. Two friends eat \(\frac{2}{8}\) + \(\frac{3}{8}\) = \(\frac{5}{8}\)

Question 5. A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 \(\frac{1}{2}\) feet long and the other is 2 \(\frac{1}{3}\) feet long. How much of the board is left? Options: a. 2 \(\frac{1}{6}\) b. 2 \(\frac{5}{6}\) c. 3 \(\frac{1}{6}\) d. 3 \(\frac{5}{6}\)

Answer: a. 2 \(\frac{1}{6}\)

Explanation: 3 \(\frac{1}{2}\) = \(\frac{7}{2}\). 2 \(\frac{1}{3}\) = \(\frac{7}{3}\). A carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 \(\frac{1}{2}\) feet long and the other is 2 \(\frac{1}{3}\) feet long. \(\frac{7}{2}\) + \(\frac{7}{3}\) = \(\frac{7 \times 3}{2\times 3} + [latex]\frac{7 \times 2}{3\times 2} = [latex]\frac{21}{6}\) + \(\frac{14}{6}\) = \(\frac{35}{6}\) = 5\(\frac{5}{6}\). He left 8 – 5\(\frac{5}{6}\). 7\(\frac{6}{6}\) – 5\(\frac{5}{6}\) = 2\(\frac{1}{6}\)

Question 6. Jeff drinks \(\frac{2}{3}\) of a glass of juice. Which fraction is equivalent to \(\frac{2}{3}\)? Options: a. \(\frac{1}{3}\) b. \(\frac{3}{2}\) c. \(\frac{3}{6}\) d. \(\frac{8}{12}\)

Answer: d. \(\frac{8}{12}\)

Explanation: \(\frac{8}{12}\) is divided by 4. So, \(\frac{8}{12}\) = \(\frac{2}{3}\).

Page No. 535

Compare. Write <, >, or =.

Answer: 0.26 > 0.23

Answer: 0.7 > 0.54

Answer: 1.15 < 1.3

Answer: 4.5 > 2.89

Question 6. 0.9 ____ 0.81

Answer: 0.9 > 0.81

Explanation: 0.9 is 9 tenths, which is equivalent to 90 hundredths. 0.81 is 81 hundredths. 90 hundredths > 81 hundredths. So, 0.9 > 0.81.

Question 7. 1.06 ____ 0.6

Answer: 1.06 > 0.6

Explanation: 1.06 is 106 hundredths. 0.6 is 6 tenths, which is equivalent to 60 hundredths. 106 hundredths > 60 hundredths. So, 1.06 > 0.6.

Question 8. 0.25 ____ 0.3

Answer: 0.25 < 0.3

Explanation: 0.25 is 25 hundredths. 0.3 is 3 tenths, which is equivalent to 30 hundredths. 25 hundredths < 30 hundredths. So, 0.25 < 0.3.

Question 9. 2.61 ____ 3.29

Answer: 2.61 < 3.29

Explanation: 2.61 is 261 hundredths. 3.29 is 329 hundredths. 261 hundredths < 329 hundredths. So, 2.61 < 3.29.

Reason Quantitatively Compare. Write <, >, or =.

Question 10. 0.30 ____ \(\frac{3}{10}\)

Answer: 0.30 = \(\frac{3}{10}\)

Explanation: 0.30 is 30 hundredths. \(\frac{3}{10}\) is 3 tenths, which is equal to 30 hundredths. 30 hundredths = 30 hundredths. So, 0.30 = \(\frac{3}{10}\).

Question 11. \(\frac{4}{100}\) ____ 0.2

Answer: \(\frac{4}{100}\) < 0.2

Explanation: \(\frac{4}{100}\) is 4 hundredths. 0.2 is 2 tenths, which is equal to 20 hundredths. 4 hundredths < 20 hundredths. So, \(\frac{4}{100}\) < 0.2

Question 12. 0.15 ____ \(\frac{1}{10}\)

Answer: 0.15 > \(\frac{1}{10}\)

Explanation: 0.15 is 15 hundredths. \(\frac{1}{10}\) is 1 tenths, which is equal to 10 hundredths. 15 hundredths > 10 hundredths. So, 0.15 > \(\frac{1}{10}\).

Question 13. \(\frac{1}{8}\) ____ 0.8

Answer: latex]\frac{1}{8}[/latex] < 0.8

Explanation: \(\frac{1}{8}\) = 0.25 is 25 hundredths. 0.8 is 8 tenths, which is equal to 80 hundredths. 25 hundredths < 80 hundredths. So, \(\frac{1}{8}\) < 0.8

Question 14. Robert had $14.53 in his pocket. Ivan had $14.25 in his pocket. Matt had $14.40 in his pocket. Who had more money, Robert or Matt? Did Ivan have more money than either Robert or Matt? ________

Answer: Robert had more money. No, Ivan didn’t have more money than either Robert or Matt.

Explanation: Compare Robert, Ivan, and Matt money to know who had more money. The digits in the one’s place are the same. Compare the digits in the tenths place. 5 > 4 > 2. So, Robert had more money.

Page No. 536

Question 15. Ricardo and Brandon ran a 1500-meter race. Ricardo finished in 4.89 minutes. Brandon finished in 4.83 minutes. What was the time of the runner who finished first? a. What are you asked to find?– Type below: ________

Answer: The time of the runner who finished first.

Question 15. b. What do you need to do to find the answer? Type below: ________

Answer: I have to compare the times to find the time that is less.

Question 15. c. Solve the problem. Type below: ________

Question 15. d. What was the time of the runner who finished first? ______ minutes

Answer: 4.83 minutes

Question 15. e. Look back. Does your answer make sense? Explain. _____

Answer: Yes. The time of the runner who finished first is the lesser time of the two. Since 4.83, 4.89, then 4.83 minutes is the time of the runner who finished first.

Question 16. The Venus flytrap closes in 0.3 second and the waterwheel plant closes in 0.2 second. What decimal is halfway between 0.2 and 0.3? Explain. _____

Answer: 0.2 is 2 tenths, which is equal to the 20 hundredths. 0.3 is 3 tenths, which is equal to 30 hundredths. The halfway between 20 hundredths and 30 hundredths is 25 hundredths. So, the answer is 0.25.

Question 17. For numbers 17a–17c, select True or False for the inequality. a. 0.5 > 0.53 i. True ii. False

Explanation: 0.5 is 50 hundredths. 0.53 is 53 hundredths. 50 hundredths < 53 hundredths. So, 0.5 < 0.53. So, the answer is false.

Question 17. b. 0.35 < 0.37 i. True ii. False

Explanation: 0.35 is 35 hundredths. 0.37 is 37 hundredths. 35 hundredths < 37 hundredths. 0.35 < 0.37. So, the answer is true.

Question 17. c. $1.35 > $0.35 i. True ii. False

Explanation: $1.35 is 135 hundredths. $0.35 is 35 hundredths. 135 hundredths > 35 hundredths. $1.35 > $0.35. So, the answer is correct.

Common Core – New – Page No. 537

Compare Decimals

Compare. Write <. >, or =.

Answer: 0.35 < 0.53

Explanation: 3 tenths is less than 5 tenths. So, 0.35 < 0.53

Question 2. 0.6 ______ 0.60

Answer: 0.6 = 0.60

Explanation: 0.6 is 6 tenths can write as 6 tenths and 0 hundredths. So, 0.6 = 0.60.

Question 3. 0.24 ______ 0.31

Answer: 0.24 < 0.31

Explanation: 2 tenths is less than 3 tenths. So, 0.24 < 0.31.

Question 4. 0.94 ______ 0.9

Answer: 0.94 > 0.9

Explanation: The digits of tenths are equal. So, compare hundredths. 4 hundredths is greater than 0 hundredths. So, 0.94 > 0.9.

Go Math 4th Grade Chapter 9 Test Answer Key Question 5. 0.3 ______ 0.32

Answer: 0.3 < 0.32

Explanation: The digits of tenths are equal. So, compare hundredths. 0 hundredths is less than 2 hundredths. So, 0.3 < 0.32.

Question 6. 0.45 ______ 0.28

Answer: 0.45 > 0.28

Explanation: 4 tenths is greater than 2 tenths. So, 0.45 > 0.28.

Question 7. 0.39 ______ 0.93

Answer: 0.39 < 0.93

Explanation: 3 tenths is less than 9 tenths. So, 0.39 < 0.93.

Question 8. 0.8 > 0.78 ______

Answer: true

Explanation: 0.78 is in between 0.7 and 0.8 that is less than 0.8. So, 0.8 > 0.78.

Question 9. 0.4 > 0.84 ______

Answer: false

Explanation: 0.4 is less than 0.84 and the left side of the number line. So, 0.4 < 0.84. The answer is false.

Question 10. 0.7 > 0.70 ______

Explanation: 0.7 is 7 tenths and 70 hundredths. 0.7 = 0.70. So, the answer is false.

Question 11. 0.4 > 0.04 ______

Explanation: 0.04 is less than 0.4 and it is left side of the 0.1 on the number line. 0.1 is less than 0.4. So, the given answer is true.

Compare. Write true or false.

Question 12. 0.09 > 0.1 ______

Explanation: 0 tenths is less than 1 tenths. So, 0.09 < 0.1. So, the answer is false.

Question 13. 0.24 = 0.42 ______

Explanation: 2 tenths is less than 4 tenths. So, 0.24 < 0.42. So, the answer is false.

Question 14. 0.17 < 0.32 ______

Explanation: 1 tenths is less than 3 tenths. So, 0.17 < 0.32. So, the answer is true.

Question 15. 0.85 > 0.82 ______

Explanation: The digits of tenths are equal. So, compare hundredths. 5 hundredths is greater than 2 hundredths. So, 0.85 > 0.82.

Question 16. Kelly walks 0.7 mile to school. Mary walks 0.49 mile to school. Write an inequality using <, > or = to compare the distances they walk to school. 0.7 ______ 0.49

Answer: 0.7 > 0.49

Explanation: 7 tenths is greater than 4 tenths. So, 0.7 > 0.49.

Question 17. Tyrone shades two decimal grids. He shades 0.03 of the squares on one grid blue. He shades 0.3 of another grid red. Which grid has the greater part shaded? 0.03 ______ 0.3

Answer: 0.03 < 0.3

Explanation: 0.03 is 3 hundredths. 0.3 is 3 tenths, which is equal to 30 hundredths. 3 hundredths < 30 hundredths. So, 0.03 < 0.3.

Common Core – New – Page No. 538

Question 1. Bob, Cal, and Pete each made a stack of baseball cards. Bob’s stack was 0.2 meter high. Cal’s stack was 0.24 meter high. Pete’s stack was 0.18 meter high. Which statement is true? Options: a. 0.02 > 0.24 b. 0.24 > 0.18 c. 0.18 > 0.2 d. 0.24 = 0.2

Answer: b. 0.24 > 0.18

Explanation: 2 tenths is greater than 1 tenth. So, 0.24 > 0.18.

Question 2. Three classmates spent money at the school supplies store. Mark spent 0.5 dollar, Andre spent 0.45 dollar, and Raquel spent 0.52 dollar. Which statement is true? Options: a. 0.45 > 0.5 b. 0.52 < 0.45 c. 0.5 = 0.52 d. 0.45 < 0.5

Answer: d. 0.45 < 0.5

Explanation: 4 tenths is less than 5 tenth. So, 0.45 > 0.5.

Question 3. Pedro has $0.35 in his pocket. Alice has $0.40 in her pocket. How much money do Pedro and Alice have in their pockets altogether? Options: a. $0.05 b. $0.39 c. $0.75 d. $0.79

Answer: c. $0.75

Explanation: Pedro has $0.35 in his pocket. Alice has $0.40 in her pocket. Together = $0.35 + $0.40 = $0.75.

Question 4. The measure 62 centimeters is equivalent to \(\frac{62}{100}\) meter. What is this measure written as a decimal? Options: a. 62.0 meters b. 6.2 meters c. 0.62 meter d. 0.6 meter

Answer: c. 0.62 meter

Explanation: \(\frac{62}{100}\) = 0.62 meter.

Question 5. Joel has 24 sports trophies. Of the trophies, \(\frac{1}{8}\) are soccer trophies. How many soccer trophies does Joel have? Options: a. 2 b. 3 c. 4 d. 6

Explanation: Joel has 24 sports trophies. Of the trophies, \(\frac{1}{8}\) are soccer trophies. So, \(\frac{1}{8}\) X 24 = 3 soccer trophies.

Question 6. Molly’s jump rope is 6 \(\frac{1}{3}\) feet long. Gail’s jump rope is 4 \(\frac{2}{3}\) feet long. How much longer is Molly’s jump rope? Options: a. 1 \(\frac{1}{3}\) feet b. 1 \(\frac{2}{3}\) feet c. 2 \(\frac{1}{3}\) feet d. 2 \(\frac{2}{3}\) feet

Answer: b. 1 \(\frac{2}{3}\) feet

Explanation: 6 \(\frac{1}{3}\) feet = \(\frac{19}{3}\) feet. 4 \(\frac{2}{3}\) feet = \(\frac{14}{3}\) feet. \(\frac{19}{3}\) – \(\frac{14}{3}\) = \(\frac{5}{3}\) feet = b. 1 \(\frac{2}{3}\) feet.

Page No. 539

Answer: 1 \(\frac{4}{10}\) = \(\frac{14}{10}\) = 1.4

Explanation: from the given image, there is one whole number and \(\frac{4}{10}\) of another model. So, 1 \(\frac{4}{10}\) = \(\frac{14}{10}\) = 1.4

Question 2. Rick has one dollar and twenty-seven cents to buy a notebook. Which names this money amount in terms of dollars? Mark all that apply. Options: a. 12.7 b. 1.027 c. $1.27 d. 1.27 e. 1 \(\frac{27}{100}\) f. \(\frac{127}{10}\)

Answer: c. $1.27 d. 1.27 e. 1 \(\frac{27}{100}\)

Explanation: one dollar and twenty-seven cents = 1 \(\frac{27}{100}\) = 1.27 = $1.27

Question 3. For numbers 3a–3e, select True or False for the statement. a. 0.9 is equivalent to 0.90. i. True ii. False

Explanation: 0.9 is 9 tenths, which is equal to 90 hundredths. 0.9 = 0.90. So, the answer is true.

Question 3. b. 0.20 is equivalent to \(\frac{2}{100}\) i. True ii. False

Explanation: \(\frac{2}{100}\) = 0.02. So, the given answer is false.

Question 3. c. \(\frac{80}{100}\) is equivalent to \(\frac{8}{10}\). i. True ii. False

Explanation: Divide \(\frac{80}{100}\) by 10 = \(\frac{8}{10}\). So, the answer is true.

Question 3. d. \(\frac{6}{10}\) is equivalent to 0.60. i. True ii. False

Explanation: \(\frac{6}{10}\) is 0.6. 0.6 is 6 tenths, which is equal to 6 tenths and 0 hundredths. 0.60. So, 0.6 =0.60. The answer is true.

Question 3. e. 0.3 is equivalent to \(\frac{3}{100}\) i. True ii. False

Explanation: 0.3 is 3 tenths, which is equal to 3 tenths and 0 hundredths. \(\frac{3}{100}\) is 0 tenths. So, the answer is false.

Page No. 540

Question 4. After selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes. They agreed to divide the money equally. Part A Wat is the total amount of money that Gwen and Max earned? Explain. $ _____

Answer: $7.30

Explanation: After selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes. 5 + (6 X 25/100) + (8 X 10/100) = 5 + 150/100 + 80/100 = 5 + 230/100 = 730/100 = 7.30

Question 4. Part B Max said that he and Gwen cannot get equal amounts of money because 5 one-dollar bills cannot be divided evenly. Do you agree with Max? Explain. _____

Explanation: No; they can share the 3 quarters and 4 dimes each. Then, they can change the 5 dollar bills into quarters. 1 dollar = 4 quarters. So, 5 dollars = 5 X 4 or 20 quarters. They can each get 10 quarters. So, each person has a total of 13 quarters and 4 dimes. $3.25 + $0.40 = $3.65

Explanation: 6 boxes are shaded out of 10.

Question 6. Amaldo spent \(\frac{88}{100}\) of a dollar on a souvenir pencil from Zion National Park in Utah. What is \(\frac{88}{100}\) written as a decimal in terms of dollars? _____

Answer: 0.88

Explanation: Write down 88 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.88

Question 7. Tran has $5.82. He is saving for a video game that costs $8.95. Tran needs _______ more to have enough money for the game. _____

Answer: $3.13

Explanation: Tran has $5.82. He is saving for a video game that costs $8.95. To know more amount need to buy a video game = $8.95 – $5.82 = $3.13

Page No. 541

Question 8. Cheyenne lives \(\frac{7}{10}\) mile from school. A fraction in hundredths equal to \(\frac{7}{10}\) is \(\frac{□}{□}\)

Answer: \(\frac{70}{100}\)

Explanation: \(\frac{7}{10}\) = \(\frac{7 \times 10}{10 \times 10}\) = \(\frac{70}{100}\)

Question 9. Write a decimal in tenths that is less than 2.42 but greater than 2.0. Type below: __________

Answer: 2.1, 2.2, 2.3, 2.4

Explanation: The decimal in greater than 2.0 and below the 2.4 are 2.1, 2.2, 2.3, 2.4

Question 10. Kylee and two of her friends are at a museum. They find two quarters and one dime on the ground. Part A If Kylee and her friends share the money equally, how much will each person get? Explain how you found your answer. $ _____ Explain: __________

Answer: $0.20; Two quarters and one dime are equal to $0.50 + $0.10 = $0.60. Take $0.60 as 6 dimes. When 6 dimes divide equally, each person will receive 2 dimes or $0.20.

Question 10. Part B Kylee says that each person will receive \(\frac{2}{10}\) of the money that was found. Do you agree? Explain. __________

Answer: No; Each person receives $0.20, which is 2/10 of a dollar, not 2/10 of the money that was found. Since there are 3 people who share the money equally, each person will receive 1/3 of the money.

Page No. 542

Question 12. Henry is making a recipe for biscuits. A recipe calls for \(\frac{5}{10}\) kilogram flour and \(\frac{9}{100}\) kilogram sugar. Part A If Henry measures correctly and combines the two amounts, how much flour and sugar will he have? Show your work. \(\frac{□}{□}\) kilogram

Answer: \(\frac{59}{100}\) kilogram

Explanation: Henry is making a recipe for biscuits. A recipe calls for \(\frac{5}{10}\) kilogram flour and \(\frac{9}{100}\) kilogram sugar. So, add \(\frac{5}{10}\) kilogram flour and \(\frac{9}{100}\) kilogram flour. \(\frac{5}{10}\) = \(\frac{5 \times 10}{10 \times 10}\) = \(\frac{50}{100}\). \(\frac{50}{100}\) + \(\frac{9}{100}\) = \(\frac{59}{100}\).

Question 12. Part B How can you write your answer as a decimal? __________ kilogram

Answer: 0.59 kilogram

Explanation: \(\frac{59}{100}\) = 0.59

Question 13. An orchestra has 100 musicians. \(\frac{4}{10}\) of them play string instruments—violin, viola, cello, double bass, guitar, lute, and harp. What decimal is equivalent to \(\frac{4}{10}\)? __________

Answer: 0.4 or 0.40

Explanation: \(\frac{4}{10}\) = 0.4 = 0.40

Explanation: The point is in between 5\(\frac{5}{10}\) and 6.0. The point after the 5\(\frac{5}{10}\) is 5\(\frac{6}{10}\) = 5.6

Page No. 543

Answer: \(\frac{50}{100}\) + \(\frac{18}{100}\) = \(\frac{68}{100}\) meter high

Explanation: \(\frac{5}{10}\) = \(\frac{5 \times 10}{10 \times 10}\) = \(\frac{50}{100}\). \(\frac{50}{100}\) + \(\frac{18}{100}\) = \(\frac{68}{100}\).

Answer: 0.81

Explanation: 81 boxes are shaded out of 100. So, \(\frac{81}{100}\) = 0.81

Question 18. For numbers 18a–18f, select True or False for the inequality. a. 0.21 < 0.27 i. True ii. False

Explanation: The digits in the one’s and tenths place are the same. Compare the digits in the hundredths place. 1 < 7. So, 0.21 < 0.27. The answer is true.

Question 18. b. 0.4 > 0.45

i. True ii. False

Explanation: 0.4 = 0.40 The digits in the one’s and tenths place are the same. Compare the digits in the hundredths place. 0 < 5. So, 0.4 < 0.46. The answer is false.

Question 18. c. $3.21 > $0.2 i. True ii. False

Explanation: 3 ones is greater than 0’s. So, $3.21 > $0.2

Question 18. d. 1.9 < 1.90 i. True ii. False

Explanation: 1.9 = 1.90. So, the answer is false

Question 18. e. 0.41 = 0.14 i. True ii. False

Explanation: The digits in the one’s are the same. Compare the digits in the tenths place. 4 > 1. So, 0.41 > 0.14. The answer is false.

Question 18. f. 6.2 > 6.02 i. True ii. False

Explanation: 2 tenths is greater than 0 tenths. So, 6.2 > 6.02. The answer is true.

Answer: \(\frac{4}{10}\) + \(\frac{40}{100}\) = \(\frac{8}{10}\)

Explanation: Let the unknown numbers are A and B. \(\frac{4}{10}\) + \(\frac{A}{100}\) = \(\frac{8}{B}\) If A = 40 and B = 10, then \(\frac{4}{10}\) + \(\frac{40}{100}\) = \(\frac{8}{10}\).

Page No. 544

Answer: a. 1.28 e. 1 \(\frac{28}{100}\)

Explanation: From the given image, it has one model of 1 whole number and other model is shades 24 boxes out of 100. So, 1 \(\frac{28}{100}\) = \(\frac{128}{100}\) = 1.28 is the answer.

Question 21. Luke lives 0.4 kilometer from a skating rink. Mark lives 0.25 kilometer from the skating rink. Part A Who lives closer to the skating rink? Explain. _____

Answer: Mark lives closer to the skating rink

Explanation: 0.4 is 4 tenths and 0.25 is 2 tenths 5 hundredths. Compare the tenths, since 4 tenths > 2 tenths. Luke lives farther from the rink. So, Mark lives closer.

Question 21. Part B How can you write each distance as a fraction? Explain. Type below: __________

Answer: \(\frac{4}{10}\) and \(\frac{25}{100}\)

Explanation: 0.4 is 4 tenths. So, \(\frac{4}{10}\) and 0.25 is 25 hundredths. So, \(\frac{25}{100}\).

Question 21. Part C Luke is walking to the skating rink to pick up a practice schedule. Then he is walking to Mark’s house. Will he walk more than a kilometer or less than a kilometer? Explain. __________

Answer: Less than a kilometer; \(\frac{4}{10}\) < \(\frac{5}{10}\) or \(\frac{1}{2}\) and \(\frac{25}{100}\) < \(\frac{50}{100}\) or \(\frac{1}{2}\). \(\frac{4}{10}\) + \(\frac{25}{100}\) < \(\frac{1}{2}\) + \(\frac{1}{2}\). So, \(\frac{1}{2}\) + \(\frac{1}{2}\) = 1. Therefore, \(\frac{4}{10}\) + \(\frac{25}{100}\) < 1.

Page No. 551

Question 1. Draw and label \(\overline{A B}\) in the space at the right. \(\overline{A B}\) is a __________ . __________

Draw and label an example of the figure.

Question 2. \(\underset { XY }{ \longleftrightarrow } \) Type below: __________

Question 3. obtuse ∠K Type below: __________

Question 4. ∠CDE Type below: __________

Question 5. Name a line segment. Type below: __________

Answer: line segment TU

Explanation: TU line is a straight path of points that continues without an end in both directions.

Question 6. Name a right angle. Type below: __________

Answer: Angle TUW

Explanation: TUW is a right angle that forms a square corner.

Question 7. \(\overrightarrow{P Q}\) Type below: __________

Question 8. acute ∠RST Type below: __________

Question 9. straight ∠WXZ Type below: __________

Question 10. Name a ray. Type below: __________

Answer: Ray K

Explanation: K is a ray that has one endpoint and continues without an end in one direction.

Question 11. Name an obtuse angle. Type below: __________

Answer: Angle ABK

Explanation: ABK is an obtuse angle that is greater than a right angle and less than a straight angle.

Question 12. Name a line. Type below: __________

Answer: Line AC

Explanation: AC is a line that is a straight path of points that continues without end in both directions.

Question 13. Name a line segment. Type below: __________

Answer: Line Segment PQ

Explanation: PQ is a line segment that is part of a line between two endpoints.

Question 14. Name a right angle. Type below: __________

Answer: Angle PRC

Explanation: PRC is a right angle that forms a square corner.

Question 15. Name an acute angle. Type below: __________

Answer: Angle ABJ

Explanation: ABJ is an acute angle that is less than a right angle.

Page No. 552

Question 16. Classify ∠A. _____ angle

Answer: Right Angle

Explanation: A is the right angle that forms a square corner.

Question 17. Which angle appears to be obtuse? ∠ _____

Explanation: C is an obtuse angle that is greater than a right angle and less than a straight angle.

Answer: 4 Angles; Right Angle = Angle EBC; Obtuse angle = Angle DBF; Acute angle = Angle DBE; Straight angle = Angle ABC.

Answer: Vanessa’s name for the angle is incorrect. Because She drew ∠TSR. The two rays R and T have the same endpoint at S called the angle. Also, the TSR is an acute angle that is less than a right angle.

Answer: \(\overline{B G}\) Line Segment . \(\underset { CD }{ \longleftrightarrow } \) Line . ∠FBG Right Angle . \(\overrightarrow{B E}\) Ray . ∠AGD an acute angle .

Conclusion:

Achieve excellent grades with the help of Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals PDF. Follow every method and step-by-step process included in HMH Go Math Grade 4 Chapter 9 Answer Key. Students can easily catch up on the way of solving math problems and they learn their own way to solve any difficult math problem by using Go Math Answer Key Grade 4 Chapter 9. Get flexible learning using Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals.

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4th Grade Go Math Chapter 9 (Decimals) Lesson Reviews AND Test Review

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Give your students a chance to PRACTICE the higher order thinking skills that they will be seeing on the test with these review worksheets! Each question aligns with a critical thinking skill that students will see on the chapter test, while also practicing lesson-specific skills!

Two-page worksheet for each lesson

• Lesson 9.1- Relate Tenths and Decimals
• Lesson 9.2- Relate Hundredths and Decimals
• Lesson 9.3- Equivalent Fractions and Decimals
• Lesson 9.4- Relate Fractions, Decimals, and Money
• Lesson 9.5- Problem Solving: Money
• Lesson 9.6- Add Fractional Parts of 10 and 100
• Lesson 9.7- Compare Decimals

Six-page worksheet for chapter review

Answer key for each worksheet

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Multiply by Tens - Lesson 3.1

Estimate Products - Lesson 3.2

Area Models and Partial Products - Lesson 3.3

Multiply Using Partial Products - Lesson 3.4

Multiply with Regrouping - Lesson 3.5

Choose a Multiplication Method - Lesson 3.6  

Problem Solving - Multiply 2-Digit Numbers - Lesson 3.7

Multiplication Comparing Using Algebra - Lesson 2.1

Comparison Problems - Section 2.2

Multiply Tens, Hundreds & Thousands - Lesson 2.3

Estimate Products - Lesson 2.4

Multiply with the Distributive Property - Lesson 2.5

Multiply Using Expanded Form - Lesson 2.6

Multiply Using Partial Products - Lesson 2.7

Multiply Using Mental Math - Lesson 2.8

Problem Solving With Multistep Multiplication - Lesson 2.9

Multiply 2-Digit Numbers With Regrouping - Lesson 2.10

Multiply 3 and 4-Digit Numbers With Regrouping - Lesson 2.11

Solve Multistep Problems Using Equations - Lesson 2.12

Lines, Rays, and Angles - Lesson 10.1

Classify Triangles - Lesson 10.2

Parallel and Perpendicular Lines - Lesson 10.3

Classify Quadrilaterals - Lesson 10.4

Line symmetry - lesson 10.5, find and draw lines of symmetry - lesson 10.6, problem solving: shape patterns - lesson 10.7   , relate tenths and decimals - lesson 9.1.

Relate Hundredths and Decimals - Lesson 9.2  

Equivalent Fractions and Decimals - Lesson 9.3

Relate Fractions, Decimals, and Money - Lesson 9.4

Problem Solving With Money - Lesson 9.5

Add Fractional Parts of 10 and 100 - Lesson 9.6

Compare Decimals - Lesson 9.7

Add & Subtract Parts of a Whole - Section 7.1

Write Fractions as Sums - Section 7.2

Adding Fractions Using Models - Section 7.3

Subtract Fractions Using Models - Section 7.4

Add and Subtract Fractions - Section 7.5

Rename Fractions and Mixed Numbers - Section 7.6

Add & Subtract Mixed Numbers - Section 7.7

Subtraction with Renaming - Section 7.8

Fractions and Properties of Addition - Section 7.9

Problem Solving Using Multistep Fractions - Section 7.10

Chapter 7 Test Review on Add and Subtract Fractions

Equivalent Fractions - Section 6.1

Gener ate Equivalent Fractions - Section 6.2

Fractions in Simplest Form - Section 6.3

Common Denominators - Section 6.4

Problem Solving With Equivalent Fractions - Section 6.5  

Compare Fractions - Section 6.6

More Comparing Fractions - Section 6.7

Compare and Order Fractions - Section 6.8

Chapter 6 Review on Fraction Equivalence and Comparison

Modeling Factors of Numbers - Section 5.1

Factors and Divisibility - Section 5.2  

Problem Solving With Common Factors - Section 5.3

Factors and Multiples - Section 5.4

Prime and Composite Numbers - Section 5.5

Number Patterns - Lesson 5.6

Review For Test on Chapter 5; Factors, Multiples, and Patterns

Estimate Quotients Using Multiples - Lesson 4.1

Remainders - Lesson 4.2

Interpret the Remainder - Lesson 4.3

Divide Tens, Hundreds, and Thousands - Lesson 4.4

Estimate Quotients Using Compatible Numbers - Lesson 4.5

Division and the Distributive Property - Lesson 4.6

Divide Using Repeated Subtraction - Lesson 4.7

Divide 3 Digits by 1 Using Partial Quotients - Section 4.8

Divide 3 Digits by 1 With Regrouping - Section 4.9

Divide 3 Digits by 1 Using Place Value - Section 4.10

Divide By 1 Digit Numbers Using Place Value - Section 4.11

Multi-Step Problem Solving with Whole Numbers-Section 4.12

Fourth Grade

• AP Calculus
• AP Statistics
• Independent Study
• Second Grade Math
• Third Grade Math
• Fourth Grade Math
• Fifth Grade Math
• Sixth Grade Math
• Sixth Grade Math (CA)
• Seventh Grade Math (CA)
• Eighth Grade Math (CA)
• Integrated Math 1
• Integrated Math 2
• Integrated Math 3
• PreCalculus
• AP Statistics Exam Prep
• Elementary Statistics
• ELM Practice
• Percents and Decimals
• Sixth Grade Math (Big Ideas)

Perimeter - Lesson 13.1

Area - Lesson 13.2

Area of Combined Rectangles - Lesson 13.3

Find Unknown Measures - Lesson 13.4

Problem Solving - Find the Area - Lesson 13.5

Angles and Fractional Parts of a Circle - Lesson 11.1

Degrees - Lesson 11.2

Measure and Draw Angles - Lesson 11.3

Joint and Separate Angles - Lesson 11.4

Problem Solving: Unknown Angle Measures - Lesson 11.5

Measurement Benchmarks - Lesson 12.1

Customary Units of Length - Lesson 12.2

Customary Units of Weight - Lesson 12.3

Customary Units of Liquid Volume - Lesson 12.4

Line Plots - Lesson 12.5

Show What You Know (Pre-Chapter 1)

Vocabularly Builder (Pre-Chapter 1)

Model Place Value Relationship - Lesson 1.1

Read and Write Numbers - Lesson 1.2

  Compare and Order Numbers - Lesson 1. 3  

Rounding Numbers - Lesson 1.4

Renaming Numbers - Lesson 1.5

Adding Whole Numbers - Lesson 1.6

Subtracting Whole Numbers - Lesson 1.7

Problem Solving - Lesson 1.8

Multiples of Unit Fractions - Lesson 8.1

Multiples of Fractions - Lesson 8.2

Multiply Fractions by Whole Numbers - Lesson 8.3  

Multiply Fractions and Mixed Numbers by Whole Numbers 8 4

Comparison Problem Solving with Fractions - Lesson 8.5

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