Multiplying Decimals-Gr 5-Solved Examples

Solved Examples and Worksheet for Multiplying Decimals

Q1Find: 0.5 × 0.14

A. 0.070
B. 0.7
C. 7
D. 0.64

Solutions

Step: 1

0.5 × 0.14

[Original expression.]

Step: 2

[1 decimal place.] [2 decimal places.]

0.5

× 0.14

0.070

[3 decimal places are required. Place the decimal point so that there are three decimal places in the product.]

Step: 3

The product of 0.5 × 0.14 is 0.070.

Correct Answer is : 0.070

Q2Find the value of 10.7 × 2.7.
A. 28.89
B. 28.9
C. 28.99
D. 29

Solutions

Step: 1

10.7 × 2.7

[Original expression.]

Step: 2

[1 decimal place.] [1 decimal place.] [Multiply with 7.] [Multiply with 2.]

	10.7
	× 2.7

	749
	214

	28.89

[2 decimal places are required. Place the decimal point so that there are two decimal places in the product.]

Step: 3

The value of 10.7 × 2.7 is 28.89

Correct Answer is : 28.89

Q3Find the product of 2.4 and 1.5.

A. 3.50
B. 3.60
C. 3.80
D. 3.70

Solutions

Step: 1

2.4 × 1.5

[Original expression.]

Step: 2

2.4
× 1.5

3.60

[1 decimal place.]
[1 decimal place.]

[2 decimal places are required.]

Step: 3

The product of 2.4 and 1.5 is 3.60

Correct Answer is : 3.60

Q4Find the product of 1.11 and 1.11.
A. 1.2421
B. 1.1321
C. 1.3321
D. 1.2321

Solutions

Step: 1

1.11 and 1.11

[Original decimals.]

Step: 2

          1.11        [2 decimal places.]
     ×   1.11        [2 decimal places.]
.....................
            111
       111
+ 111
.....................
    1.2321          [4 decimal places.]
.....................

Step: 3

The product of 1.11 and 1.11 is 1.2321.

Correct Answer is : 1.2321

Q5Simplify:
4.34 × 14.42
A. 62.5828
B. 62.6949
C. 63.5948
D. 62.5948

Solutions

Step: 1

4.34 × 14.42

[Original expression.]

Step: 2

    14.42
×   4.34
_________
    5768
  4326
5768
_________
62.5828
_________

Step: 3

So, 4.34 × 14.42 is 62.5828.

Correct Answer is : 62.5828

Q6Evaluate:
87.5 × 12.65

A. 1071.275
B. 1106.875
C. 1143.275
D. 1113.275

Solutions

Step: 1

87.5 × 12.65

[Original expression.]

Step: 2

    12.65        [Two decimal places.]
× 87.5          [One decimal places.]
.................
    6325
  8855
10120
...................
1106.875          [Three decimal places.]
...................

Step: 3

So, 12.65 × 87.5 = 1106.875.

Correct Answer is : 1106.875

Q7Find the value of 10.9 × 2.3.

A. 25.08
B. 25.17
C. 25.18
D. 25.07

Solutions

Step: 1

10.9 × 2.3

[Original expression.]

Step: 2

	10.9
	× 2.3

	327
	218

	25.07

[1 decimal place.]
[1 decimal place.]

[Multiply with 3.]
[Multiply with 2.]

[2 decimal places are required. Place the decimal point so that there are two decimal places in the product.]

Step: 3

The value of 10.9 × 2.3 is 25.07

Correct Answer is : 25.07

Q8Find: 1.5 × 0.12
A. 1.8
B. 0.180
C. 1.62
D. 18

Solutions

Step: 1

1.5 × 0.12

[Original expression.]

Step: 2

1.5
× 0.12

0.180

[1 decimal place.]

[2 decimal places.]

[3 decimal places are required. Place the decimal point so that there are three decimal places in the product.]

Step: 3

The product of 1.5 × 0.12 is 0.180.

Correct Answer is : 0.180

Q9Find the product of 1.8 and 1.6.
A. 22.8
B. 3.88
C. 2.88
D. 8.22

Solutions

Step: 1

1.8 × 1.6

[Write the expression.]

Step: 2

Step: 3

So, the product of 1.8 and 1.6 is 2.88.

Correct Answer is : 2.88

Q10Find the product of 6.6 and 4.4.
A. 9.4
B. 92.4
C. 29.04

Solutions

Step: 1

6.6 × 4.4

[Write the expression.]

Step: 2

Step: 3

So, the product of 6.6 and 4.4 is 29.04.

Correct Answer is : 29.04

Q11Find the product of 9.62 and 11.5.
A. 110.630
B. 121.250
C. 122.250

Solutions

Step: 1

9.62 × 11.5

[Write the expression.]

Step: 2

Correct Answer is : 110.630

Q12Find: 1.5 × 0.12

A. 1.8
B. 0.180
C. 18
D. 1.62

Solutions

Step: 1

1.5 × 0.12

[Original expression.]

Step: 2

1.5
× 0.12

0.180

[1 decimal place.]

[2 decimal places.]

[3 decimal places are required. Place the decimal point so that there are three decimal places in the product.]

Step: 3

The product of 1.5 × 0.12 is 0.180.

Correct Answer is : 0.180

Q13Find the value of 11.7 × 1.3.

A. 15.32
B. 15.22
C. 15.21
D. 15.31

Solutions

Step: 1

11.7 × 1.3

[Original expression.]

Step: 2

	11.7
	× 1.3

	351
	117

	15.21

[1 decimal place.]
[1 decimal place.]

[Multiply with 3.]
[Multiply with 1.]

[2 decimal places are required. Place the decimal point so that there are two decimal places in the product.]

Step: 3

The value of 11.7 × 1.3 is 15.21

Correct Answer is : 15.21

Q14Multiply:
4.3 × 0.17
A. 4.3
B. 4.47
C. 4.13
D. 0.731

Solutions

Step: 1

		4	.	3
×	0	.	1	7

		3	0	1
		4	3	0
	0	0	0	0

0	.	7	3	1	←[1 decimal place + 2 decimal places = 3 decimal places.]

Step: 2

So, 4.3 × 0.17 = 0.731

Correct Answer is : 0.731

Q15Multiply 4.5 by 6.7.
A. 3922
B. 3.22
C. 30.2
D. 30.15

Solutions

Step: 1

4.5 × 6.7

[Wite the expression.]

Step: 2

Correct Answer is : 30.15

Solved Examples and Worksheet for Multiplying Decimals

Related Worksheet

Related Topic

HighSchool Math