Practice the problems of Math in Focus Grade 4 Workbook Answer Key Cumulative Review Chapters 7 and 8 to score better marks in the exam.

## Math in Focus Grade 4 Cumulative Review Chapters 7 and 8 Answer Key

**Concepts and Skills**

**write each fraction or mixed number as a decimal. (Lesson 7.1)**

Question 1.

\(\frac{4}{10}\) = ____

Answer:

\(\frac{4}{10}\) = 0.4.

Explanation:

\(\frac{4}{10}\) = 4 ÷ 10 = 2 ÷ 5 = 0.4.

Question 2.

3\(\frac{3}{10}\) = ____

Answer:

3\(\frac{3}{10}\) = 0.9.

Explanation:

3\(\frac{3}{10}\) = 3(3 ÷ 10) = 3(0.3) = 0.9.

Question 3.

\(\frac{18}{10}\) = ____

Answer:

\(\frac{18}{10}\) = 1.8.

Explanation:

\(\frac{18}{10}\) = 18 ÷ 10 = 9÷ 5 = 1.8.

**Write each decimal in tenths. (Lesson 7.1)
**Question 4.

0.6 = ___ tenths

Answer:

0.6 = 6 tenths.

Explanation:

0.6 = 6 tenths.

Question 5.

1.7 = ___ tenths

Answer:

1.7 = 17 tenths.

Explanation:

1.7 = 17 tenths.

Question 6.

9.5 = ___ tenths

Answer:

9.5 = 95 tenths.

Explanation:

9.5 = 95 tenths.

Question 7.

4.2 = ___ tenths

Answer:

4.2 = 42 tenths.

Explanation:

4.2 = 42 tenths.

**write each of these as a decimal. (Lesson 7.1)
**Question 8.

3 ones and 4 tenths = ___

Answer:

3 ones and 4 tenths = 3.4.

Explanation:

3 ones and 4 tenths = 3.4.

Question 9.

8 ones and 1 tenth = ____

Answer:

8 ones and 1 tenth = 8.1.

Explanation:

8 ones and 1 tenth = 8.1.

Question 10.

77 tenths = ___

Answer:

77 tenths = 7.7.

Explanation:

77 tenths = 7.7.

Question 11.

19 tenths = ____

Answer:

19 tenths = 1.9.

Explanation:

19 tenths = 1.9.

**Fill in the blanks. (Lesson 7.1)
**Question 12.

22 tenths = 2 ones and ___ tenths

Answer:

22 tenths = 2 ones and 2 tenths.

Explanation:

22 tenths = 2 ones and 2 tenths.

Question 13.

3.2 = 3 ones and ___ tenths

Answer:

3.2 = 3 ones and 2 tenths.

Explanation:

3.2 = 3 ones and 2 tenths.

**Write the correct decimal in each box. (Lesson 7.1)**

Question 14.

Answer:

Explanation:

1. 1 tenths.

2.1 one.

3. 1 one 3 tenths.

4. 2 one o tenths.

5. 2 one 8 tenths.

**Complete the expanded form of each decimal. (Lesson 7.1)
**Question 15.

5.4 = 5 + ___

Answer:

5.4 = 5 + 4 tenths.

Explanation:

5.4 = 5 + 4 tenths.

Question 16.

7.1 = 7 + ___

Answer:

7.1 = 7 + 1 tenths.

Explanation:

7.1 = 7 + 1 tenths.

Question 17.

3.6 = 3 + __.

Answer:

3.6 = 3 + 6 tenths.

Explanation:

3.6 = 3 + 6 tenths.

Question 18.

10.2 = 10 + ___

Answer:

10.2 = 10 + 2 tenths.

Explanation:

10.2 = 10 + 2 tenths.

**Fill in the blanks. (Lesson 7.1)
**Question 19.

In 22.3, the digit 3 is in the ___ place. Its value is ____.

Answer:

In 22.3, the digit 3 is in the tenths place. Its value is 3 ÷ 10.

Explanation:

In 22.3,

the digit 3 is in the tenths place.

Its value is \(\frac{3}{10}\) = 3 ÷ 10.

**Write each fraction or mixed number as a decimal. (Lesson 7.2)
**Question 20.

\(\frac{9}{100}\) = ____

Answer:

\(\frac{9}{100}\) = 0.09.

Explanation:

\(\frac{9}{100}\) = 9 ÷ 100 = 0.09.

Question 21.

2\(\frac{26}{100}\) = ____

Answer:

2\(\frac{26}{100}\) = 0.52.

Explanation:

2\(\frac{26}{100}\) = 2(26 ÷ 100)

= 2 × 0.26

= 0.52.

Question 3.

\(\frac{105}{100}\) = ____

Answer:

\(\frac{105}{100}\) = 1.05.

Explanation:

\(\frac{105}{100}\) = 105 ÷ 100 = 1.05.

**Write each decimal in hundredths. (Lesson 7.2)
**Question 23.

0.06 = ___ hundredths

Answer:

0.06 = 6 hundredths.

Explanation:

0.06 = 6 hundredths.

Question 24.

1.33 = ___ hundredths

Answer:

1.33 = 133 hundredths.

Explanation:

1.33 = 133 hundredths.

Question 25.

2.5 = ___ hundredths

Answer:

2.5 = 250 hundredths.

Explanation:

2.5 = 250 hundredths.

**Write each of these as a decimal. (Lesson 7.2)
**Question 26.

2 ones and 6 hundredths = ____

Answer:

2 ones and 6 hundredths = 2.06.

Explanation:

2 ones and 6 hundredths = 2.06.

Question 27.

5 tenths 5 hundredths = ____

Answer:

5 tenths 5 hundredths = 0.55.

Explanation:

5 tenths 5 hundredths = 0.55.

Question 28.

7 ones and 3 tenths 4 hundredths = ___

Answer:

7 ones and 3 tenths 4 hundredths = 7.34

Explanation:

7 ones and 3 tenths 4 hundredths = 7.34.

**Fill in the blanks. (Lesson 7.2)
**Question 29.

16 hundredths = 1 tenth ___ hundredths

Answer:

16 hundredths = 1 tenth 6 hundredths.

Explanation:

16 hundredths = 1 tenth 6 hundredths.

Question 30.

0.45 = 4 tenths ___ hundredths

Answer:

0.45 = 4 tenths 5 hundredths.

Explanation:

0.45 = 4 tenths 5 hundredths.

**Mark ✗ to show where each decimal is located on the number line. Label its value. (Lesson 7.2)
**Question 31.

0.04

Answer:

0.04 = 4 hundredths.

Explanation:

Question 32.

0.15

Answer:

0.15 = 0 ones 1 tenths 5 hundredths.

Explanation:

Question 33.

0.26

Answer:

0.26 = 0 ones 2 tenths 6 hundredths.

Explanation:

**Complete.
**Question 34.

5.2 = __________ ones and __________ tenths

Answer:

5.2 = 5 ones and 2 tenths.

Explanation:

5.2 = 5 ones and 2 tenths.

Question 35.

0.86 = ___________ tenths ___________ hundredths

Answer:

0.86 = 8 tenths 6 hundredths.

Explanation:

0.86 = 8 tenths 6 hundredths.

Question 36.

3.7 = ___________ tenths

Answer:

3.7 = 7 tenths.

Explanation:

3.7 = 7 tenths.

Question 37.

0.93 = __________ hundredths

Answer:

0.93 = 3 hundredths.

Explanation:

0.93 = 3 hundredths.

**Write each sum as a decimal. (Lesson 7.2)
**Question 38.

7 + 0.6 + 0.02 = ___

Answer:

7 + 0.6 + 0.02 = 7.62.

Explanation:

7 + 0.6 + 0.02 = 7.6 + 0.02

= 7.62.

Question 39.

10 + 0.4 + 0.04 = ___

Answer:

10 + 0.4 + 0.04 = 10.44.

Explanation:

10 + 0.4 + 0.04 = 10.4 + 0.04

= 10.44.

Question 40.

5 + \(\frac{1}{10}\) + \(\frac{8}{100}\) = ___

Answer:

5 + \(\frac{1}{10}\) + \(\frac{8}{100}\) = 5.09.

Explanation:

5 + \(\frac{1}{10}\) + \(\frac{8}{100}\) = 5 + (1 ÷ 100) + (8 ÷ 100)

= 5 + 0.1 + 0.08

= 5.1 + 0.08

= 5.18.

Question 41.

9 + \(\frac{3}{10}\) + \(\frac{7}{100}\) = ___

Answer:

9 + \(\frac{3}{10}\) + \(\frac{7}{100}\) = 9.37.

Explanation:

9 + \(\frac{3}{10}\) + \(\frac{7}{100}\) = 9 + (3 ÷ 10) + (7 ÷ 100)

= 9 + 0.3 + 0.07

= 9.3 + 0.07

= 9.37.

**Fill in the blanks. (Lesson 7.2)
**Question 42.

In 14.68, the digit 8 is in the ___ place. Its value is ___.

Answer:

In 14.68, the digit 8 is in the hundredths place. Its value is 8 hundredths.

Explanation:

In 14.68,

the digit 8 is in the hundredths place. Its value is 8 hundredths.

**Fill in the blanks. (Lesson 7.2)
**Question 43.

$0.75 = ___ cents

Answer:

$0.75 = 75 cents.

Explanation:

Conversion: 1 dollar = 100 cents.

$0.75 = 100 × 0.75

= 75 cents.

Question 44.

$12.25 = ___ cents

Answer:

$12.25 = 1225 cents.

Explanation:

Conversion: 1 dollar = 100 cents.

$12.25 = 100 × 12.25

= 1225 cents.

Question 45.

$8.05 = ___ cents

Answer:

$8.05 = 805 cents.

Explanation:

Conversion: 1 dollar = 100 cents.

$8.05 = 100 × 8.05

= 805 cents.

**Write each amount of money in decimal form. (Lesson 7.2)
**Question 46.

65 cents = $___

Answer:

65 cents = $___

Explanation:

Conversion: 1 dollar = 100 cents.

65 cents = 65 ÷ 100

= $ 0.65.

Question 47.

10 dollars and 90 cents = $___

Answer:

10 dollars and 90 cents = $10.90.

Explanation:

Conversion: 1 dollar = 100 cents.

10 dollars and 90 cents = 10 + (90 ÷ 100)

= 10 + 0.90

= $10.90.

Question 48.

2 dollars and 5 cents = $____

Answer:

2 dollars and 5 cents = $2.05.

Explanation:

Conversion: 1 dollar = 100 cents.

2 dollars and 5 cents = 2 + (5 ÷ 100)

= 2 + 0.05

= $2.05.

**Fill in the blanks. (Lesson 7.3)
**Question 49.

0.1 more than 1.1 is ____

Answer:

0.1 more than 1.1 = 1.2.

Explanation:

0.1 more than 1.1 = 0.1 + 1.1 = 1.2.

Question 50.

0.2 less than 2 is ____

Answer:

0.2 less than 2 = 0.8.

Explanation:

0.2 less than 2 = 2 – 0.2 = 0.8.

Question 51.

0.01 less than 0.1 is ___

Answer:

0.01 less than 0.1 = 0.09.

Explanation:

0.01 less than 0.1 = 0.1 – 0.01 = 0.09.

Question 52.

0.03 more than 0.07 is ___

Answer:

0.03 more than 0.07 = 0.10.

Explanation:

0.03 more than 0.07 = 0.07 + 0.03 = 0.10.

**Mark ✗ to show where each decimal is located on the number line. Label its value. (Lesson 7.3)
**Question 53.

0.16

Answer:

0.16 = 0 ones 1 tenths 6 hundredths.

Explanation:

Question 54.

0.24

Answer:

0.24 = 0 ones 1 tenths 6 hundredths.

Explanation:

**Compare. Write > or <. (Lesson 7.3)
**Question 55.

4.1 0.41

Answer:

4.1 > 0.41.

Explanation:

4.1 is greater than 0.41 as its ones place number is greater in comparison.

Question 56.

0.73 0.70

Answer:

0.73 < 0.70.

Explanation:

0.73 is lesser than 0.70 as its hundredths place number in comparison comes first in comparison.

**Circle the greatest decimal and underline the least. (Lesson 7.3)
**Question 57.

3.04 3.4 0.34

Answer:

Explanation:

3.4 is comparatively greater than 3.04 and 0.34 as its tenths place number is greater.

0.34 is comparatively lesser than the 3.4 and 3.04 as its ones place number is less.

Question 58.

0.6 0.61 0.65

Answer:

Explanation:

0.6 is comparatively greater than 0.61 and 0.65 as its tenths place number comes first in number line.

0.65 is comparatively lesser than the 0.6 and 0.61 as its comes last in number line.

**Fill in the blank. (Lesson 7.3)
**Question 59.

Write a decimal that is greater than 0.9 but less than 1.0. ____

Answer:

A decimal that is greater than 0.9 but less than 1.0 is 0.987.

Explanation:

A decimal that is greater than 0.9 but less than 1.0 is 0.987.

The largest nearest number that can be approximated to 0.9 is 0.94999999999.

The lowest nearest number that can be approx. to 0.987 is 0.986500000000000000000

Hence, 0.987 is larger than 0.9.

Such problems are categorized under “ Number Theory”.

**Round each decimal to the nearest whole number. (Lesson 7.4)
**Question 60.

4.36 = ___

Answer:

4.36 = 4.0.

Explanation:

Rounding 4.36 to its nearest whole number = 4.0.

Question 61.

7.81 = ___

Answer:

7.81 = 8.0.

Explanation:

Rounding 7.81 to its nearest whole number = 8.0.

Question 62.

5.07 = ___

Answer:

5.07 = 5.0.

Explanation:

Rounding 5.07 to its nearest whole number = 5.0.

**Round each decimal to the nearest tenth. (Lesson 7.4)
**Question 63.

2.39 = ___

Answer:

2.39 = 2.50.

Explanation:

Rounding 2.39 to its nearest tenth = 2.50.

Question 64.

6.63 = ___

Answer:

6.63 = 7.0.

Explanation:

Rounding 6.63 to its nearest tenth = 7.0.

Question 65.

4.00 = ___

Answer:

4.00 = 4.0.

Explanation:

Rounding 4.00 to its nearest tenth = 4.0.

**write each decimal as a fraction in simplest form. (Lesson 7.5)
**Question 66.

0.6 =

Answer:

0.6 =

Explanation:

simplest form of 0.6 = 6 ÷10.

Question 67.

0.55 =

Answer:

0.55 =

Explanation:

simplest form of 0.55 = 55 ÷ 100.

**write each fraction or mixed number as a decimal. (Lesson 7.5)
**Question 68.

\(\frac{1}{5}\) =

Answer:

\(\frac{1}{5}\) = 0.2.

Explanation:

\(\frac{1}{5}\) = 1 ÷ 5 = 0.2.

Question 69.

\(\frac{9}{20}\) =

Answer:

\(\frac{9}{20}\) = 0.45.

Explanation:

\(\frac{9}{20}\) = 9 ÷ 20 = 0.45.

Question 70.

\(\frac{5}{2}\) =

Answer:

\(\frac{5}{2}\) = 2.50.

Explanation:

\(\frac{5}{2}\) = 5 ÷ 2 = 2.50.

Question 71.

1\(\frac{3}{4}\) =

Answer:

1\(\frac{3}{4}\) = 1.75.

Explanation:

1\(\frac{3}{4}\) = 1 (3 ÷ 4)

= (4 + 3) ÷ 4

= 7 ÷ 4

= 1.75.

Question 72.

4\(\frac{2}{5}\) =

Answer:

4\(\frac{2}{5}\) = 4.4.

Explanation:

4\(\frac{2}{5}\) = 4 (2 ÷ 5)

= (20+2) ÷ 5

= 22 ÷ 5

= 4.4.

Question 73.

5\(\frac{1}{4}\) =

Answer:

5\(\frac{1}{4}\) = 5.25.

Explanation:

5\(\frac{1}{4}\) = 5 (1 ÷ 4)

= (20 + 1) ÷ 4

= 21 ÷ 4

= 5.25.

**Find each sum or difference. (Lesson 8.1 and 8.2)**

Question 74.

Answer:

Explanation:

6.74 + 2.17 = 8.91.

Question 75.

Answer:

Explanation:

3.28 + 0.91 = 4.19.

Question 76.

Answer:

Explanation:

5.76 + 4.26 = 10.02.

Question 77.

Answer:

Explanation:

7.05 – 1.33 = 5.72.

Question 78.

Answer:

Explanation:

8.72 – 3.43 = 5.29.

Question 79.

Answer:

Explanation:

6.36 – 5.79 = 0.57.

**Problem Solving
**

**Solve. Show your work. (Lesson 8.3)**

Question 80.

Lina thinks of a number. When she adds 9.65 to it, she gets 20.7. What number is Lina thinking of?

Answer:

The number Lina thinks = 11.05.

Explanation:

When she adds 9.65 to it, she gets 20.7.

Let the number be X.

=> X + 9.65 = 20.7.

=> X = 20.7 – 9.65

=> X = 11.05.

Question 81.

Suri bought a skirt for $25.90 and a sweatshirt for $19.90. She paid the cashier $50. How much change did she receive?

Answer:

Amount of change she received = $4.2.

Explanation:

Cost of a skirt Suri bought = $25.90.

Cost of a sweatshirt Suri bought = $19.90.

Amount of money she paid to the cashier = $50.

Amount of change she received = Amount of money she paid to the cashier – (Cost of a skirt Suri bought + Cost of a sweatshirt Suri bought)

= $50 – ($25.90 + $19.90)

= $50 – $45.8

= $4.2.