#### Solved Examples and Worksheet for Multiplying Decimals

Q1Find: 0.5 × 0.14

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

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

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
Q3Find the product of 2.4 and 1.5.

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

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

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.
Q5Simplify:
4.34 × 14.42

A. 62.5828
B. 62.6949
C. 63.5948
D. 62.5948

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.
Q6Evaluate:
87.5 × 12.65

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

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.
Q7Find the value of 10.9 × 2.3.

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

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

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

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

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

Step: 1
9.62 × 11.5
[Write the expression.]
Step: 2

Q12Find: 1.5 × 0.12

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

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.
Q13Find the value of 11.7 × 1.3.

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

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
Q14Multiply:
4.3 × 0.17

A. 4.3
B. 4.47
C. 4.13
D. 0.731

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