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.