In multiplications: the decimal point moves to the right as many steps as the number has zeros.
In divisions: the decimal point moves to the left as many steps as the number has zeros.

Practice Multiplying and Dividing Decimal Fractions by 10, 100, etc.

Examples with solutions for Multiplying and Dividing Decimal Fractions by 10, 100, etc.

Exercise #1

1.23×110= ? 1.23\times110=\text{ ?}

Video Solution

Step-by-Step Solution

We will use the distributive property to split 110 into two numbers—100 and 10. 

Now we will multiply the original number (1.23) by these two numbers:

1.23*100=123

1.23*10=12.3

 

All that is left to do is to add the two products together to get our answer:

123 + 12.3 = 135.3

Answer

135.3 135.3

Exercise #2

0.26×10= 0.26\times10=

Video Solution

Answer

2.6 2.6

Exercise #3

0.3×10= 0.3\times10=

Video Solution

Answer

3 3

Exercise #4

0.7×10= 0.7\times10=

Video Solution

Answer

7 7

Exercise #5

1.004×10= 1.004\times10=

Video Solution

Answer

10.04 10.04

Exercise #6

111.1:10= 111.1:10=

Video Solution

Answer

11.11 11.11

Exercise #7

11.31:10= 11.31:10=

Video Solution

Answer

1.131 1.131

Exercise #8

1.14×10= 1.14\times10=

Video Solution

Answer

11.4 11.4

Exercise #9

12.2:10= 12.2:10=

Video Solution

Answer

1.22 \text{1}.22

Exercise #10

13.61:10= 13.61:10=

Video Solution

Answer

1.361 1.361

Exercise #11

1.4×10= 1.4\times10=

Video Solution

Answer

14 14

Exercise #12

1.52×10= 1.52\times10=

Video Solution

Answer

15.2 15.2

Exercise #13

20.1:10= 20.1:10=

Video Solution

Answer

2.01 2.01

Exercise #14

2.31×10= 2.31\times10=

Video Solution

Answer

23.1 23.1

Exercise #15

2.66×10= 2.66\times10=

Video Solution

Answer

26.6 26.6