Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 3 Lesson 3.3 Dividing Decimals to finish your assignments.

## Math in Focus Grade 6 Course 1 A Chapter 3 Lesson 3.3 Answer Key Dividing Decimals

### Math in Focus Grade 6 Chapter 3 Lesson 3.3 Guided Practice Answer Key

**Complete.**

Question 1.

Find 1 ÷ 0.5

Method 1

Answer:

There are two 0.5s in 1 whole.

Explanation:

There are two 0.5s are in 1 whole.

Method 2

1 ÷ 0.5 = 1 ÷ \(\frac{5}{10}\)

= 1 × \(\frac{10}{5}\)

= 2.

Question 2.

Find 48 ÷ 0.3

Answer:

48 ÷ 0.3 = 160.

Explanation:

48 ÷ 0.3 = 48 ÷ \(\frac{3}{10}\)

= 48 × \(\frac{10}{3}\)

= 16 × 10

= 160.

**Complete.**

Question 3.

Complete the model to show the division expression 98 ÷ 0.14.

Answer:

98 ÷ 0.14 = 700.

Explanation:

Method 2

98 ÷ 0.14 = 98 ÷ \(\frac{14}{100}\)

= 98 × \(\frac{100}{14}\)

= 7 × 100

= 700.

**Divide.**

Question 4.

Answer:

75 ÷ 0.15 = 500.

Explanation:

75 ÷ 0.15 = 75 ÷ \(\frac{15}{100}\)

= 75 × \(\frac{100}{15}\)

= 5 × 100

= 500.

Question 5.

Answer:

156 ÷ 0.13 = 1200.

Explanation:

Given the division expression is 156 ÷ 0.13,

156 ÷ 0.13 = 156 ÷ \(\frac{13}{100}\)

= 156 × \(\frac{100}{13}\)

= 12 × 100

= 1200.

**Complete.**

Question 6.

Find 0.9 ÷ 0.3.

Answer:

There are three 0.3s in 0.9.

Explanation:

Given the division expression is 0.9 ÷ 0.3,

0.9 ÷ 0.3 = \(\frac{9}{10}\) ÷ \(\frac{3}{10}\)

= \(\frac{9}{10}\) × \(\frac{10}{3}\)

= 3.

So each small interval represents 0.3 and there are 3 intervals.

**Complete.**

Question 7.

Find 0.72 ÷ 0.03.

Method 1

Answer:

0.72 ÷ 0.03 = 24.

Explanation:

Given the division expression is 0.72 ÷ 0.03,

Method 1

0.72 = \(\frac{72}{100}\) and 0.03 = \(\frac{3}{100}\)

= \(\frac{72}{100}\) ÷ \(\frac{3}{100}\)

= \(\frac{72}{100}\) × \(\frac{100}{3}\)

= 24.

Method 2

0.72 ÷ 0.03 = \(\frac{0.72}{0.03}\)

= \(\frac{0.72}{0.03}\) × \(\frac{100}{100}\)

= \(\frac{72}{3}\)

= 24.

**Complete.**

Question 8.

Find 0.78 ÷ 0.6.

Answer:

0.78 ÷ 0.6 = 1.3.

Explanation:

Given the division expression is 0.78 ÷ 0.6,

Method 1

0.78 = \(\frac{78}{100}\) and 0.6 = \(\frac{6}{10}\)

= \(\frac{78}{100}\) ÷ \(\frac{6}{10}\)

= \(\frac{78}{100}\) × \(\frac{10}{6}\)

= \(\frac{13}{10}\)

= 1.3.

Method 2

0.78 ÷ 0.6 = \(\frac{0.78}{0.6}\)

= \(\frac{0.78}{0.6}\) × \(\frac{10}{10}\)

= \(\frac{7.8}{6}\)

= 1.3.

Question 9.

Find 6.75 ÷ 0.3.

Answer:

Explanation:

Given the division expression is 6.75 ÷ 0.3,

Method 1

6.75 = \(\frac{675}{100}\) and 0.3 = \(\frac{3}{10}\)

= \(\frac{675}{100}\) ÷ \(\frac{3}{10}\)

= \(\frac{675}{100}\) × \(\frac{10}{3}\)

= \(\frac{225}{10}\)

= 22.5.

Method 2

6.75 ÷ 0.3 = \(\frac{6.75}{0.3}\)

= \(\frac{6.75}{0.3}\) × \(\frac{10}{10}\)

= \(\frac{67.5}{3}\)

= 22.5

### Math in Focus Course 1A Practice 3.3 Answer Key

**Write a division expression that represents each model.**

Question 1.

Answer:

1 ÷ 0.2 = 5.

Explanation:

In 1 whole there are five 0.2s, so the division expression will be 1 ÷ 0.2 which is 5.

Question 2.

Answer:

3 ÷ 0.2 = 15.

Explanation:

In 3 wholes there are 15 0.2s, so the division expression will be 3 ÷ 0.2 which is 15.

**Divide.**

Question 3.

2 ÷ 0.4

Answer:

2 ÷ 0.4 = 5.

Explanation:

Given the division expression is 2 ÷ 0.4,

2 ÷ 0.4 = 2 ÷ \(\frac{4}{10}\)

= 2 × \(\frac{10}{4}\)

= 5.

Question 4.

4 ÷ 0.5

Answer:

4 ÷ 0.5 = 8.

Explanation:

Given the division expression is 4 ÷ 0.5,

4 ÷ 0.5 = 4 ÷ \(\frac{5}{10}\)

= 4 × \(\frac{10}{5}\)

= 8.

Question 5.

5 ÷ 0.2

Answer:

5 ÷ 0.2 = 25.

Explanation:

Given the division expression is 5 ÷ 0.2,

5 ÷ 0.2 = 5 ÷ \(\frac{2}{10}\)

= 5 × \(\frac{10}{2}\)

= 5 × 5

= 25.

Question 6.

8 ÷ 0.8

Answer:

8 ÷ 0.8 = 10.

Explanation:

Given the division expression is 8 ÷ 0.8,

8 ÷ 0.8 = 8 ÷ \(\frac{8}{10}\)

= 8 × \(\frac{10}{8}\)

= 10.

Question 7.

9 ÷ 0.3

Answer:

9 ÷ 0.3 = 30.

Explanation:

Given the division expression is 9 ÷ 0.3,

9 ÷ 0.3 = 9 ÷ \(\frac{3}{10}\)

= 9 × \(\frac{10}{3}\)

= 3 × 10

= 30.

Question 8.

7 ÷ 0.4

Answer:

7 ÷ 0.4 = 17.5.

Explanation:

Given the division expression is 7 ÷ 0.4,

7 ÷ 0.4 = 7 ÷ \(\frac{4}{10}\)

= 7 × \(\frac{10}{4}\)

= 7 × \(\frac{5}{2}\)

= \(\frac{35}{2}\)

= 17.5.

Question 9.

12 ÷ 0.3

Answer:

12 ÷ 0.3 = 40.

Explanation:

Given the division expression is 12 ÷ 0.3,

12 ÷ 0.3 = 12 ÷ \(\frac{3}{10}\)

= 12 × \(\frac{10}{3}\)

= 4 × 10

= 40.

Question 10.

42 ÷ 0.7

Answer:

42 ÷ 0.7 = 60.

Explanation:

Given the division expression is 42 ÷ 0.7,

42 ÷ 0.7 = 42 ÷ \(\frac{7}{10}\)

= 42 × \(\frac{10}{7}\)

= 6 × 10

= 60.

Question 11.

55 ÷ 0.5

Answer:

55 ÷ 0.5 = 110.

Explanation:

Given the division expression is 55 ÷ 0.5,

55 ÷ 0.5 = 55 ÷ \(\frac{5}{10}\)

= 55 × \(\frac{10}{5}\)

= 11 × 10

= 110.

Question 12.

69 ÷ 0.2

Answer:

69 ÷ 0.2 = 345

Explanation:

Given the division expression is 69 ÷ 0.2,

69 ÷ 0.2 = 69 ÷ \(\frac{2}{10}\)

= 69 × \(\frac{10}{2}\)

= 69 × 5

= 345.

Question 13.

86 ÷ 0.5

Answer:

86 ÷ 0.5 = 172

Explanation:

Given the division expression is 86 ÷ 0.5,

86 ÷ 0.5 = 86 ÷ \(\frac{5}{10}\)

= 86 × \(\frac{10}{5}\)

= 86 × 2

= 172.

Question 14.

93 ÷ 0.4

Answer:

Explanation:

Given the division expression is 93 ÷ 0.4,

93 ÷ 0.4 = 93 ÷ \(\frac{4}{10}\)

= 93 × \(\frac{10}{4}\)

= 93 × \(\frac{5}{2}\)

= \(\frac{465}{2}\)

= 232.5.

Question 15.

1 ÷ 0.02

Answer:

1 ÷ 0.02 = 50.

Explanation:

Given the division expression is 1 ÷ 0.02,

1 ÷ 0.02 = 1 ÷ \(\frac{2}{100}\)

= 1 × \(\frac{100}{2}\)

= 50.

Question 16.

3 ÷ 0.06

Answer:

3 ÷ 0.06 = 50.

Explanation:

Given the division expression is 3 ÷ 0.06,

3 ÷ 0.06 = 3 ÷ \(\frac{6}{100}\)

= 3 × \(\frac{100}{6}\)

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

= 50.

Question 17.

6 ÷ 0.15

Answer:

6 ÷ 0.15 = 40.

Explanation:

Given the division expression is 6 ÷ 0.15,

6 ÷ 0.15 = 6 ÷ \(\frac{15}{100}\)

= 6 × \(\frac{100}{15}\)

= 2 × \(\frac{100}{5}\)

= 2 × 20

= 40.

Question 18.

7 ÷ 0.35

Answer:

7 ÷ 0.35 = 20.

Explanation:

Given the division expression is 7 ÷ 0.35,

7 ÷ 0.35 = 7 ÷ \(\frac{35}{100}\)

= 7 × \(\frac{100}{35}\)

= 20.

Question 19.

8 ÷ 0.32

Answer:

8 ÷ 0.32 = 25.

Explanation:

Given the division expression is 8 ÷ 0.32,

8 ÷ 0.32 = 8 ÷ \(\frac{32}{100}\)

= 8 × \(\frac{100}{32}\)

= 25.

Question 20.

9 ÷ 0.72

Answer:

9 ÷ 0.72 = 12.5.

Explanation:

Given the division expression is 9 ÷ 0.72,

9 ÷ 0.72 = 9 ÷ \(\frac{72}{100}\)

= 9 × \(\frac{100}{72}\)

= 12.5.

**Draw a model to show each division expression.**

Question 21.

2 ÷ 0.5

Answer:

2 ÷ 0.5 = 4.

Explanation:

Given the division expression is 2 ÷ 0.5,

2 ÷ 0.5 = 2 ÷ \(\frac{5}{10}\)

= 2 × \(\frac{10}{5}\)

= 4.

Question 22

5 ÷ o.2

Answer:

5 ÷ o.2 = 10.

Explanation:

Given the division expression is 5 ÷ o.2,

5 ÷ o.2 = 5 ÷ \(\frac{2}{10}\)

= 5 × \(\frac{10}{5}\)

= 10.

**Divide.**

Question 23.

36 ÷ 0.36

Answer:

36 ÷ 0.36 = 100.

Explanation:

Given the division expression is 36 ÷ 0.36,

36 ÷ 0.36 = 36 ÷ \(\frac{36}{100}\)

= 36 × \(\frac{100}{36}\)

= 100.

Question 24.

49 ÷ 0.14

Answer:

49 ÷ 0.14 = 350.

Explanation:

Given the division expression is 49 ÷ 0.14,

49 ÷ 0.14 = 49 ÷ \(\frac{14}{100}\)

= 49 × \(\frac{100}{14}\)

= 49 × 50

= 350.

Question 25.

56 ÷ 0.28

Answer:

56 ÷ 0.28 = 200.

Explanation:

Given the division expression is 56 ÷ 0.28,

56 ÷ 0.28 = 56 ÷ \(\frac{28}{100}\)

= 56 × \(\frac{100}{28}\)

= 2 × 100

= 200.

Question 26.

72 ÷ 0.20

Answer:

72 ÷ 0.20 = 360.

Explanation:

Given the division expression is 72 ÷ 0.20,

72 ÷ 0.20 = 72 ÷ \(\frac{20}{100}\)

= 72 × \(\frac{100}{20}\)

= 72 × 5

= 360.

Question 27.

81 ÷ 0.54

Answer:

81 ÷ 0.54 = 150.

Explanation:

Given the division expression is 81 ÷ 0.54,

81 ÷ 0.54 = 81 ÷ \(\frac{54}{100}\)

= 81 × \(\frac{100}{54}\)

= 3 × \(\frac{100}{2}\)

= 3 × 50

= 150.

Question 28.

256 ÷ 0.64

Answer:

256 ÷ 0.64 = 400.

Explanation:

Given the division expression is 256 ÷ 0.64,

256 ÷ 0.64 = 256 ÷ \(\frac{64}{100}\)

= 256 × \(\frac{100}{64}\)

= 4 × 100

= 400.

Question 29.

749 ÷ 0.7

Answer:

749 ÷ 0.7 = 1,070.

Explanation:

Given the division expression is 749 ÷ 0.7,

749 ÷ 0.7 = 749 ÷ \(\frac{7}{10}\)

= 749 × \(\frac{10}{7}\)

= 107 × 10

= 1,070.

Question 30.

972 ÷ 0.8

Answer:

972 ÷ 0.8 = 1,215.

Explanation:

Given the division expression is 972 ÷ 0.8,

972 ÷ 0.8 = 972 ÷ \(\frac{8}{10}\)

= 972 × \(\frac{10}{8}\)

= 972 × \(\frac{5}{4}\)

= 243 × 5

= 1,215.

Question 31.

96 ÷ 0.16

Answer:

96 ÷ 0.16 = 1600.

Explanation:

Given the division expression is 96 ÷ 0.16,

96 ÷ 0.16 = 96 ÷ \(\frac{16}{100}\)

= 96 × \(\frac{100}{16}\)

= 16 × 100

= 1600.

Question 32.

545 ÷ 0.25

Answer:

545 ÷ 0.25 = 218.

Explanation:

Given the division expression is 545 ÷ 0.25,

545 ÷ 0.25 = 545 ÷ \(\frac{25}{10}\)

= 545 × \(\frac{10}{25}\)

= 545 × \(\frac{2}{5}\)

= 109 × 2

= 218.

Question 33.

0.6 ÷ 0.3

Answer:

0.6 ÷ 0.3 = 2.

Explanation:

Given the division expression is 0.6 ÷ 0.3,

0.6 ÷ 0.3 = \(\frac{6}{10}\) ÷ \(\frac{3}{10}\)

= \(\frac{6}{10}\) × \(\frac{10}{3}\)

= 2.

Question 34.

0.64 ÷ 0.04

Answer:

0.64 ÷ 0.04 = 64.

Explanation:

Given the division expression is 4 ÷ 0.5,

0.64 ÷ 0.04 = \(\frac{64}{100}\) ÷ \(\frac{4}{100}\)

= \(\frac{64}{100}\) × \(\frac{100}{4}\)

= 16.

Question 35.

0.78 ÷ 0.06

Answer:

0.78 ÷ 0.06 = 13.

Explanation:

Given the division expression is 0.78 ÷ 0.06,

0.78 ÷ 0.06 = \(\frac{78}{100}\) ÷ \(\frac{6}{100}\)

=\(\frac{78}{100}\) × \(\frac{100}{6}\)

= 13.

Question 36.

0.85 ÷ 0.5

Answer:

0.85 ÷ 0.5 = 17.

Explanation:

Given the division expression is 0.85 ÷ 0.5,

0.85 ÷ 0.5 = \(\frac{85}{100}\) ÷ \(\frac{5}{10}\)

= \(\frac{85}{10}\)× \(\frac{10}{5}\)

= 17.

Question 37.

0.025 ÷ 0.5

Answer:

0.025 ÷ 0.5 = 0.05.

Explanation:

Given the division expression is 0.025 ÷ 0.5,

0.025 ÷ 0.5 = \(\frac{25}{1000}\) ÷ \(\frac{5}{10}\)

= \(\frac{25}{1000}\) × \(\frac{10}{5}\)

= \(\frac{5}{100}\)

= 0.05.

Question 38.

0.816 ÷ 0.34

Answer:

0.816 ÷ 0.34 = 2.4.

Explanation:

Given the division expression is 0.816 ÷ 0.34,

0.816 ÷ 0.34 = \(\frac{816}{1000}\) ÷ \(\frac{34}{100}\)

= \(\frac{816}{1000}\) × \(\frac{100}{34}\)

= \(\frac{24}{10}\)

= 2.4.

Question 39.

4.5 ÷ 0.2

Answer:

4.5 ÷ 0.2 = 22.5.

Explanation:

Given the division expression is 4.5 ÷ 0.2,

4.5 ÷ 0.2 = \(\frac{45}{10}\) ÷ \(\frac{2}{10}\)

= \(\frac{45}{10}\) × \(\frac{10}{2}\)

= \(\frac{45}{2}\)

= 22.5.

Question 40.

8.82 ÷ 0.6

Answer:

8.82 ÷ 0.6 = 14.7.

Explanation:

Given the division expression is 8.82 ÷ 0.6,

8.82 ÷ 0.6 = \(\frac{882}{100}\) ÷ \(\frac{6}{10}\)

= \(\frac{882}{100}\) × \(\frac{10}{6}\)

= \(\frac{147}{10}\)

= 14.7.