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

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.

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.

Explanation:
The multiplication of 0.025 by 3 is 0.075.

Multiply.

Question 3.

The multiplication of 0.07 × 9 is 0.63.

Explanation:
The multiplication of 0.07 × 9 is 0.63.

Question 4.

The multiplication of 0.14 × 3 is 0.42.

Explanation:
The multiplication of 0.14 × 3 is 0.42.

Question 5.

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
0.32 × 8 = 2.56.

Explanation:
The multiplication of 0.32 × 8 is 2.56.

Question 7.
9 × 0.24
9 × 0.24 = 2.16.

Explanation:
The multiplication of 9 × 0.24 is 2.16.

Question 8.
0.057 × 6
0.057 × 6 = 0.342.

Explanation:
The multiplication of 0.057 × 6 is 0.342.

Complete.

Question 9.
Find 0.3 × 0.6.

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.

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

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
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

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
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

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

3×0.5 = 1.5.

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

Question 4.

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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.