Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 3 Lesson 3.2 Multiplying Decimals to finish your assignments.

## Math in Focus Grade 6 Course 1 A Chapter 3 Lesson 3.2 Answer Key Multiplying Decimals

### Math in Focus Grade 6 Chapter 3 Lesson 3.2 Guided Practice Answer Key

**Complete.**

Question 1.

Multiply 0.9 by 4.

Answer:

The multiplication of 0.9 by 4 is 3.6.

Explanation:

The multiplication of 0.9 by 4 is 3.6.

Question 2.

Multiply 0.025 by 3.

Answer:

Explanation:

The multiplication of 0.025 by 3 is 0.075.

**Multiply.**

Question 3.

Answer:

The multiplication of 0.07 × 9 is 0.63.

Explanation:

The multiplication of 0.07 × 9 is 0.63.

Question 4.

Answer:

The multiplication of 0.14 × 3 is 0.42.

Explanation:

The multiplication of 0.14 × 3 is 0.42.

Question 5.

Answer:

The multiplication of 0.045 × 7 is 0.315.

Explanation:

The multiplication of 0.045 × 7 is 0.315.

**Write in vertical form. Then multiply and decide where to place the decimal point.**

Question 6.

0.32 × 8

Answer:

0.32 × 8 = 2.56.

Explanation:

The multiplication of 0.32 × 8 is 2.56.

Question 7.

9 × 0.24

Answer:

9 × 0.24 = 2.16.

Explanation:

The multiplication of 9 × 0.24 is 2.16.

Question 8.

0.057 × 6

Answer:

0.057 × 6 = 0.342.

Explanation:

The multiplication of 0.057 × 6 is 0.342.

**Complete.**

Question 9.

Find 0.3 × 0.6.

Answer:

The multiplication of 0.3 × 0.6 is 0.18.

Explanation:

The multiplication of 0.3 × 0.6 is

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

= \(\frac{18}{100}\)

= 0.18.

Question 10.

Find 0.9 × 0.8.

Answer:

The multiplication of 0.9 × 0.8 is 0.72.

Explanation:

The multiplication of 0.9 × 0.8 is

Complete.

Question 11.

Find 3.2 × 0.6

Answer:

The multiplication of 3.2 × 0.6 is 1.92.

Explanation:

The multiplication of 3.2 × 0.6 is

**Write in vertical form. Then multiply and decide where to place the decimal point.**

Question 12.

4.3 × 5.7

Answer:

The multiplication of 4.3 × 5.7 is 24.51.

Explanation:

The multiplication of 4.3 × 5.7 is

**Complete.**

Question 13.

Find 0.89 × 0.4

Answer:

The multiplication of 0.89 × 0.4 is 0.356.

Explanation:

The multiplication of 0.89 × 0.4 is

**Write in vertical form. Then multiply and decide where to place the decimal point.**

Question 14.

4.3 × 5.7

Answer:

The multiplication of 4.3 × 5.7 is 24.51.

Explanation:

The multiplication of 4.3 × 5.7 is

**Hands-On Activity**

**Materials**

- graph paper
- ruler

**Finding the factors of a decimal.**

Step 1.

Draw four 10 × 10 squares on graph paper.

Step 2.

Mark each side from 0 to 1 as shown.

Step 3.

a) Find two decimals that give a product of 0.12.

× = 0.12

Show and shade 0.12 on the grids in two different ways.

Example

0.2 × 0.6 = 0.12

Answer:

b) Find two decimals that give a product of 0.36. Show and shade 0.36 on the grids in two different ways.

Answer:

0.6 × 0.6 = 0.36.

Explanation:

The two decimals that give a product of 0.36 is 0.6 × 0.6.

### Math in Focus Course 1A Practice 3.2 Answer Key

**Complete.**

Question 1.

0.3 × 4 is the same as groups of .

Answer:

0.3 groups of 4.

Explanation:

Here 0.3 × 4 is the same as 0.3 groups of 4.

Question 2.

7 × 0.8 is the same as groups of .

Answer:

7 groups of 0.8.

Explanation:

Here 7 × 0.8 is the same as 7 groups of 0.8.

**Write a multiplication statement that represents each number line.**

Question 3.

Answer:

3×0.5 = 1.5.

Explanation:

The multiplication statement that represents the number line is 3×0.5 = 1.5.

Question 4.

Answer:

6×0.9 = 5.4.

Explanation:

The multiplication statement that represents the number line is 6×0.9 = 5.4.

**Write in vertical form. Then multiply.**

Question 5.

0.9 × 12

Answer:

The multiplication of 0.9 × 12 is 10.8.

Explanation:

The multiplication of 0.9 × 12 is

9 0.9

× 12 × 12

_____ ———

108 10.8

Question 6.

0.47 × 5

Answer:

The multiplication of 0.47 × 5 is 2.35.

Explanation:

The multiplication of 0.47 × 5 is

47 × 5 = 235

0.47 × 5 = 2.35

Question 7.

0.063 × 9

Answer:

0.063 × 9 = 0.67.

Explanation:

The multiplication of 0.063 × 9 is

63 × 9 = 567

0.063 × 9 = 0.567.

Question 8.

00.85 × 11

Answer:

The multiplication of 00.85 × 11 is 9.35.

Explanation:

The multiplication of 00.85 × 11 is

85 × 11 = 935,

00.85 × 11 = 9.35.

Question 9.

00.1 × 0.2

Answer:

The multiplication of 00.1 × 0.2 is 0.02.

Explanation:

The multiplication of 00.1 × 0.2 is

1 × 2 = 2,

00.1 × 0.2 = 0.02.

Question 10.

0.2 × 0.3

Answer:

The multiplication of 0.2 × 0.3 is

Explanation:

The multiplication of 0.2 × 0.3 is

2 × 3 = 6

0.2 × 0.3 = 0.06.

Question 11.

0.4 × 0.4

Answer:

The multiplication of 0.4 × 0.4 is 0.16.

Explanation:

The multiplication of 0.4 × 0.4 is

4 × 4 = 16,

0.4 × 0.4 = 0.16.

Question 12.

0.6 × 0.7

Answer:

The multiplication of 0.6 × 0.7 is 0.42.

Explanation:

The multiplication of 0.6 × 0.7 is

6 × 7 = 42,

0.6 × 0.7 = 0.42.

Question 13.

0.7 × 0.9

Answer:

The multiplication of 0.7 × 0.9 is 0.63.

Explanation:

The multiplication of 0.7 × 0.9 is

7 × 9 = 63,

0.7 × 0.9 = 0.63.

**Multiply mentally.**

Question 14.

0.7 × 8

Answer:

The mental multiplication of 0.7 × 8 is 5.6.

Explanation:

The mental multiplication of 0.7 × 8 is

0.7 × 8 = \(\frac{7}{10}\) × 8

= \(\frac{7}{5}\) × 4

= \(\frac{28}{5}\)

= 5.6.

Question 15.

0.9 × 9

Answer:

The mental multiplication of 0.9 × 9 is 8.1.

Explanation:

The mental multiplication of 0.9 × 9 is

0.9 × 9 = \(\frac{9}{10}\) × 9

= \(\frac{81}{10}\)

= 8.1.

Question 16.

0.9 × 11

Answer:

The mental multiplication of 0.9 × 11 is 9.9.

Explanation:

The mental multiplication of 0.9 × 11 is

0.9 × 11 = \(\frac{9}{10}\) × 11

= \(\frac{99}{10}\)

= 9.9.

Question 17.

0.7 × 0.4

Answer:

The mental multiplication of 0.7 × 0.4 is \(\frac{14}{50}\).

Explanation:

The mental multiplication of 0.7 × 0.4 is

0.7 × 0.4 = \(\frac{7}{10}\) × \(\frac{4}{10}\)

= \(\frac{7}{10}\) × \(\frac{2}{5}\)

= \(\frac{14}{50}\).

Question 18.

0.8 × 0.6

Answer:

The mental multiplication of 0.8 × 0.6 is 0.48.

Explanation:

The mental multiplication of 0.8 × 0.6 is

0.8 × 0.6 = \(\frac{8}{100}\) × \(\frac{6}{100}\)

= \(\frac{48}{100}\)

= 0.48.

Question 19.

0.3 × 0.9

Answer:

The mental multiplication of 0.3 × 0.9 is 0.27.

Explanation:

The mental multiplication of 0.3 × 0.9 is

0.3 × 0.9 = \(\frac{3}{100}\) × \(\frac{9}{100}\)

= \(\frac{27}{100}\)

= 0.27.

Question 20.

0.7 × 0.7

Answer:

The mental multiplication of 0.7 × 0.7 is 0.49.

Explanation:

The mental multiplication of 0.7 × 0.7 is

0.7 × 0.7 = \(\frac{7}{100}\) × \(\frac{7}{100}\)

= \(\frac{49}{100}\)

= 0.49.

Question 21.

0.5 × 0.9

Answer:

The mental multiplication of 0.5 × 0.9 is 0.45.

Explanation:

The mental multiplication of 0.5 × 0.9 is

0.5 × 0.9 = \(\frac{5}{10}\) × \(\frac{9}{10}\)

= \(\frac{45}{100}\)

= 0.45.

Question 22.

0.8 × 0.9

Answer:

The mental multiplication of 0.8 × 0.9 is 0.72.

Explanation:

The mental multiplication of 0.5 × 0.9 is

0.8 × 0.9 = \(\frac{8}{10}\) × \(\frac{9}{10}\)

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

= 0.72.

Question 23.

0.15 × 6

Answer:

The mental multiplication of 0.15 × 6 is 0.9.

Explanation:

The mental multiplication of 0.15 × 6 is

0.15 × 6 = \(\frac{15}{100}\) × \(\frac{6}{10}\)

= \(\frac{90}{100}\)

= 0.9

Question 24.

0.22 × 4

Answer:

The mental multiplication of 0.22 × 4 is 0.88.

Explanation:

The mental multiplication of 0.22 × 4 is

0.22 × 4 = \(\frac{22}{100}\) ×4

= \(\frac{88}{100}\)

= 0.88.

Question 25.

0.25 × 3

Answer:

The mental multiplication of 0.25 × 3 is 0.75.

Explanation:

The mental multiplication of 0.25 × 3 is

0.25 × 3 = \(\frac{25}{100}\) × 3

= \(\frac{75}{100}\)

= 0.75.

Question 26.

0.032 × 5

Answer:

The mental multiplication of 0.032 × 5 is 0.16.

Explanation:

The mental multiplication of 0.032 × 5 is

0.032 × 5 = \(\frac{32}{1000}\) × 5

= \(\frac{160}{1000}\)

= 0.16.

Question 27.

0.04 1 × 8

Answer:

The mental multiplication of 0.04 1 × 8 is 0.328.

Explanation:

The mental multiplication of 0.04 1 × 8 is

0.04 1 × 8 = \(\frac{41}{1000}\) × 8

= \(\frac{41}{1000}\) × 8

= \(\frac{328}{1000}\)

= 0.328.

Question 28.

0.055 × 9

Answer:

The mental multiplication of 0.055 × 9 is 0.495.

Explanation:

The mental multiplication of 0.055 × 9 is

0.055 × 9 = \(\frac{55}{1000}\) × 9

= \(\frac{495}{1000}\)

= 0.495.

**Write in vertical form. Then multiply.**

Question 29.

1.2 × 0.6

Answer:

The multiplication of 1.2 × 0.6 is 0.72.

Explanation:

The multiplication of 1.2 × 0.6 is

12 × 06 = 72,

1.2 × 0.6 = 0.72.

Question 30.

0.89 × 1.2

Answer:

The multiplication of 0.89 × 1.2 is 1.068.

Explanation:

The multiplication of 0.89 × 1.2 is

89 × 12 = 1,068,

0.89 × 1.2 = 1.068.

Question 31.

2.3 × 1.5

Answer:

The multiplication of 2.3 × 1.5 is 3.45.

Explanation:

The multiplication of 2.3 × 1.5 is

23 × 15 = 345,

2.3 × 1.5 = 3.45.

Question 32.

3.4 × 6.7

Answer:

The multiplication of 3.4 × 6.7 is 22.78.

Explanation:

The multiplication of 3.4 × 6.7 is

34 × 67 = 2,278.

3.4 × 6.7 = 22.78.

Question 33.

4.9 × 6.3

Answer:

The multiplication of 4.9 × 6.3 is 30.87.

Explanation:

The multiplication of 4.9 × 6.3 is

49 × 63 = 3,087,

4.9 × 6.3 = 30.87.

Question 34.

5.8 × 7.8

Answer:

The multiplication of 5.8 × 7.8 is 45.24.

Explanation:

The multiplication of 5.8 × 7.8 is

58 × 78 = 4,524,

5.8 × 7.8 = 45.24.

Question 35.

0.46 × 1.3

Answer:

The multiplication of 0.46 × 1.3 is 0.598.

Explanation:

The multiplication of 0.46 × 1.3 is

46 × 13 = 598.

0.46 × 1.3 = 0.598.

Question 36.

0.705 × 0.5

Answer:

The multiplication of 0.705 × 0.5 is 0.3525.

Explanation:

The multiplication of 0.705 × 0.5 is

705 × 5 = 3,525,

0.705 × 0.5 = 0.3525.

Question 37.

0.597 × 0.21

Answer:

The multiplication of 0.597 × 0.21 is 0.12537.

Explanation:

The multiplication of 0.597 × 0.21 is

597 × 21 = 12,537,

0.597 × 0.21 = 0.12537.

Question 38.

**Math Journal** Your friend knows how to find the product \(\frac{57}{100}\) × \(\frac{3}{10}\). However, your friend does not know how to find the product 0.57 × 0.3. Write an explanation that will help your friend understand how to multiply the two decimals.

Answer:

Here the product of \(\frac{57}{100}\) × \(\frac{3}{10}\) is \(\frac{171}{100}\) which is 1.71 and to find the product of 0.57 × 0.3 first we will multiply 57 × 3 which is 171 and then we will place decimal, so the product will be 1.71.