Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals

Practice the problems of Math in Focus Grade 5 Workbook Answer Key Chapter 9 Practice 1 Multiplying Decimals to score better marks in the exam.

Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals

Multiply. Write the product as a decimal.

Example
2 × 0.3 = 2 × 3 tenths
= 6 tenths
0.6
So, 2 × 0.3 = 0.6

Question 1.
5 × 0.6 = 5 × ____ tenths
= ___ tenths
= ____ or ____
So, 5 × 0.6 = ____
Answer:
5 × 0.6 = 5 × 6 tenths
= 30 tenths
= 3.0 or 3
So, 5 × 0.6 = 3
Explanation:
To multiply a decimal number by a decimal number,
we first multiply the two numbers ignoring the decimal points and then;
place the decimal point in the product in such a way that;
decimal places in the product is equal to the sum of the decimal places in the given numbers.

Question 2.
7 × 0.8 = 7 × ___ tenths
= ___ tenths
= _____
So, 7 × 0.8 = ___
Answer:
7 × 0.8 = 7 × 8 tenths
= 56 tenths
= 5.6
So, 7 × 0.8 = 5.6
Explanation:
To multiply a decimal number by a decimal number,
we first multiply the two numbers ignoring the decimal points and then;
place the decimal point in the product in such a way that;
decimal places in the product is equal to the sum of the decimal places in the given numbers.

Question 3.
10 × 0.4 = 10 × ___ tenths
= ___ tenths or
= ___ or ___
So, 10 × 0.4 = ___
Answer:
10 × 0.4 = 10 × 4 tenths
= 4 tenths or
= 4.0 or 4
So, 10 × 0.4 = 4
Explanation:
To multiply a decimal number by a decimal number,
we first multiply the two numbers ignoring the decimal points and then;
place the decimal point in the product in such a way that;
decimal places in the product is equal to the sum of the decimal places in the given numbers.

Multiply. Write the product as a decimal.

Example
3 × 0.03 = 3 × 3
= 9 hundredths
= 0.09
So, 3 × 0.03 = 0.09

Question 4.
5 × 0.02 = 5 × ___ hundredths
= ____ hundredths
= ___ or _____
So, 5 × 0.02 = ____
Answer:
5 × 0.02 = 5 × 2 hundredths
= 10 hundredths
= 10/100 or 0.1
So, 5 × 0.02 = 0.1
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, when only one factor has decimal place value,
the product will have as many decimal place values as that one factor.

Question 5.
7 × 0.07 = 7 × ___ hundredths
= ____ hundredths
= ___ or _____
So, 7 × 0.07 = ____
Answer:
7 × 0.07 = 7 × 7 hundredths
= 49 hundredths
=  49/100 or 0.49
So, 7 × 0.07 = 0.49
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, when only one factor has decimal place value,
the product will have as many decimal place values as that one factor.

Question 6.
6 × 0.12 = 6 × ___ hundredths
= ____ hundredths
= ___
So, 6 × 0.12 = ____
Answer:
6 × 0.12 = 6 × 12 hundredths
= 72 hundredths
= 0.72
So, 6 × 0.12 = 0.72
Explanation:
To multiply decimals, first multiply as if there is no decimal.
Next, count the number of digits after the decimal in each factor.
Finally, when only one factor has decimal place value,
the product will have as many decimal place values as that one factor.

Follow the steps to multiply 2.6 by 3. Fill in the blanks.

Question 7.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 1
Multiply the tenths by 3.
3 × 6 tenths = _18_ tenths
Regroup the tenths.
18___ tenths = _1__ one and __6_ tenths
Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 2
Multiply the tenths by 3.
3 × 2 ones = _6__ ones
Add the ones.
_6__ ones + _1_ one = _7_ ones
So, 3 × 2.6 = _7.8__

Multiply.

Question 8.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 3
Answer: 2.4
Explanation:
Multiply the tenths by 8.
8 × 3 tenths = 24 tenths
Regroup the tenths.
24 tenths = 2 one and  4 tenths
Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 3
Multiply the tenths by 8.
8 × 0 ones = 0 ones
Add the ones.
0 ones + 2 one = 2 ones
So, 0.3 × 8 = 2.4

Question 9.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 4
Answer: 10.4
Explanation:
Multiply the tenths by 4.
4 × 6 tenths = 24 tenths
Regroup the tenths.
24 tenths = 2 one and  4 tenths
Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 4
Multiply the tenths by 4.
4 × 2 ones = 8 ones
Add the ones.
8 ones + 2 one = 10 ones
So, 2.6 × 4 = 10.4

Question 10.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 5
Answer: 39.5
Explanation:
Multiply the tenths by 5.
5 × 9 tenths = 45 tenths
Regroup the tenths.
45 tenths = 4 one and  5 tenths
Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 5
Multiply the tenths by 5.
5 × 7 ones = 35 ones
Add the ones.
35 ones + 4 one = 39 ones
So, 7.9 × 5 = 39.5

Question 11.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 6
Answer: 86.8
Explanation:
Multiply the tenths by 7.
7 × 4 tenths = 28 tenths
Regroup the tenths.
28 tenths = 2 one and  8 tenths
Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 6
Multiply the tenths by 5.
7 × 12 ones = 84 ones
Add the ones.
84 ones + 2 one = 86 ones
So, 12.4 × 7 = 86.8

Question 12.
Step 1
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 7
Answer: 8.76
Explanation:
Multiply the hundredths by 6.
6 × 6 hundredths =36 hundredths
Regroup the tenths.
36 hundredths = 3 tenths and 6 hundredths

Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 8
Multiply the tenths by 6.
6 × 4 tenths = 24 tenths
Add the tenths.
24 tenths + 3 tenths = 27 tenths
Regroup the tenths.
27 tenths = 2 ones and 7 tenths

Step 3
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 9
Multiply the ones by 6.
6 × 1 ones = 6 ones
Add the ones.
6 ones + 2 ones = 8 ones
So, 6 × 1.46 = 8.76

Multiply.

Question 13.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 10
Answer: 50.07
Explanation:
Multiply the hundredths by 5.
5 × 7 hundredths =35 hundredths
Regroup the tenths.
35 hundredths = 3 tenths and 5 hundredths

Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 10
Multiply the tenths by 5.
5 × 0 tenths = 0 tenths
Add the tenths.
0 tenths + 3 tenths = 3 tenths
Regroup the tenths.
3 tenths = 0 ones and 3 tenths

Step 3
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 10
Multiply the ones by 6.
5 × 10 ones = 50 ones
Add the ones.
50 ones + 0 ones = 50 ones
So, 5 × 10.07 = 50.35

Question 14.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 11
Answer: 3
Explanation:
Multiply the tenths by 4.
4 × 5 tenths = 20 tenths
Regroup the tenths.
20 tenths = 2 one and  0 tenths
Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 11
Multiply the tenths by 4.
4 × 7 ones = 28 ones
Add the ones.
28 ones + 2 one = 2 ones
So, 0.75 × 4 = 3

Question 15.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 12
Answer: 27.54
Explanation:
Multiply the hundredths by 9.
9 × 6 hundredths =54 hundredths
Regroup the tenths.
54 hundredths = 5 tenths and 4 hundredths

Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 12
Multiply the tenths by 9.
9 × 0 tenths = 0 tenths
Add the tenths.
0 tenths + 54 tenths = 54 tenths
Regroup the tenths.
54 tenths = 5 ones and 4 tenths

Step 3
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 12
Multiply the ones by 9.
9 × 3 ones = 27 ones
Add the ones.
27 ones + 0 ones = 27 ones
So, 9 × 3.06 = 27.54

Question 16.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 13
Answer: 121.92
Explanation:
Multiply the hundredths by 8.
8 × 4 hundredths =32 hundredths
Regroup the tenths.
32 hundredths = 3 tenths and 2 hundredths

Step 2
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 13
Multiply the tenths by 8.
8 × 2 tenths = 16 tenths
Add the tenths.
16 tenths + 3 tenths = 3 tenths
Regroup the tenths = 19

Step 3
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 13
Multiply the ones by 8.
8 × 15 ones = 120 ones
Add the ones.
120 ones + 1 ones = 121 ones
So, 8 × 15.24 = 121.92

Question 17.
4 × 2.08 = ___
Answer: 8.32
Explanation:
Multiply the hundredths by 4.
4 × 8 hundredths =32 hundredths
Regroup the tenths.
32 hundredths = 3 tenths and 2 hundredths

Step 2

Multiply the tenths by 4.
4 × 0 tenths = 16 tenths
Add the tenths.
0 tenths + 3 tenths = 3 tenths

Step 3

Multiply the ones by 4.
4 × 2 ones = 8 ones
Add the ones.
8 ones + 32 ones = 8.32 ones
So, 4 × 2.o8 = 8.32

Question 18.
3 × 3.29 = ___
Answer: 9.87
Explanation:
Multiply the hundredths by 3.
9 × 3 hundredths =27 hundredths
Regroup the tenths.
27 hundredths = 2 tenths and 7 hundredths

Step 2

Multiply the tenths by 3.
3 × 2 tenths = 6 tenths
Add the tenths.
6 tenths + 0 tenths = 6 tenths
Regroup the tenths
6 tenths + 2 tenths = 8 tenths

Step 3

Multiply the ones by 6.
6 × 3 ones = 18 ones
Add the ones.
8 ones + 1 ones = 9 ones
So, 3 × 3.29 = 9.87

Question 19.
7 × 5.71 = ___
Answer: 39.97
Explanation:
Multiply the hundredths by 7.
1 × 7 hundredths =7 hundredths
Regroup the tenths.
7 hundredths = 0 tenths and 7 hundredths

Step 2

Multiply the tenths by 7.
7 × 7 tenths = 49 tenths
Add the tenths.
49 tenths + 0 tenths = 49 tenths
Regroup the tenths
49 tenths = 4 ones and 7 tenths

Step 3

Multiply the ones by 7.
5 × 7 ones = 35 ones
Add the ones.
35 ones + 4 ones = 39 ones
So, 7 × 5.71 = 39.97

Question 20.
6 × 4.81 = ___
Answer: 28.86
Explanation:
Multiply the hundredths by 6.
1 × 6 hundredths =6 hundredths
Regroup the tenths.
6 hundredths = 0 tenths and 6 hundredths

Step 2

Multiply the tenths by 6.
8 × 7 tenths = 48 tenths
Add the tenths.
48 tenths + 0 tenths = 48 tenths
Regroup the tenths
48 tenths = 4 ones and 8 tenths

Step 3

Multiply the ones by 6.
4 × 6 ones = 24 ones
Add the ones.
24 ones + 4 ones = 28 ones
So, 6 × 4.81 = 28.81

Question 21.
9 × 7.46 = ___
Answer: 67.14
Explanation:
Multiply the hundredths by 9.
9 × 6 hundredths =54 hundredths
Regroup the tenths.
54 hundredths = 5 tenths and 4 hundredths

Step 2

Multiply the tenths by 9.
9 × 4 tenths = 36 tenths
Add the tenths.
36 tenths + 5 tenths = 41 tenths
Regroup the tenths
41 tenths = 4 ones and 1 tenths

Step 3

Multiply the ones by 9.
9 × 7 ones = 63 ones
Add the ones.
63 ones + 4 ones = 67 ones
So, 9 × 7.46 = 67.14

Question 22.
8 × 6.52 = ___
Answer: 52.16
Explanation:
Multiply the hundredths by 8.
8 × 2 hundredths =16 hundredths
Regroup the tenths.
16 hundredths = 1 tenths and 6 hundredths

Step 2

Multiply the tenths by 8.
8 × 5 tenths = 40 tenths
Add the tenths.
40 tenths + 1 tenths = 41 tenths
Regroup the tenths
41 tenths = 4 ones and 1 tenths

Step 3

Multiply the ones by 8.
8 × 6 ones = 48 ones
Add the ones.
48 ones + 4 ones = 52 ones
8 × 6.52 = 52.16

Write the correct decimal in each box.

Example
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 14

Question 23.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 15
Answer: 21.38

Explanation:
0.46 x 3
3 × 0.46 = 3 × 46 hundredths
= 138 hundredths
= 1.38
So, 3 × 0.46 = 1.38
20+1.38 = 21.38

Question 24.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 16
Answer:20.04

Explanation:
6 x 0.84
6 × 0.84 = 6 × 84 hundredths
= 504 hundredths
= 5.04
So, 6 × 0.84 = 5.04
15+5.04 = 20.04

Question 25.
Math in Focus Grade 5 Chapter 9 Practice 1 Answer Key Multiplying Decimals 17
Answer: 31.4

Explanation:
5×1.28
5 × 1.28 = 5 ×128 hundredths
= 640 hundredths
= 6.40
So, 5 × 1.28 = 6.40
25+6.40 = 31.4

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