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=

Video Solution

Step-by-Step Solution

We will use the distributive property to split 110 into two numbers -

100 and 10

 

Now, we'll multiply the original number, 1.23, by these two numbers.

1.23*100=123

1.23*10=12.3

 

All that's left to do is to add the two products we got - 

123+12.3=

135.3

 

And that's the solution!

Answer

135.3 135.3

Exercise #2

20.1:10= 20.1:10=

Video Solution

Answer

2.01 2.01

Exercise #3

13.61:10= 13.61:10=

Video Solution

Answer

1.361 1.361

Exercise #4

12.2:10= 12.2:10=

Video Solution

Answer

1.22 \text{1}.22

Exercise #5

65.2:10= 65.2:10=

Video Solution

Answer

6.52 6.52

Exercise #6

581.8:10= 581.8:10=

Video Solution

Answer

58.18 58.18

Exercise #7

111.1:10= 111.1:10=

Video Solution

Answer

11.11 11.11

Exercise #8

51.4:10= 51.4:10=

Video Solution

Answer

5.14 5.14

Exercise #9

11.31:10= 11.31:10=

Video Solution

Answer

1.131 1.131

Exercise #10

7.81×10= 7.81\times10=

Video Solution

Answer

78.1 78.1

Exercise #11

1.52×10= 1.52\times10=

Video Solution

Answer

15.2 15.2

Exercise #12

2.7×10= 2.7\times10=

Video Solution

Answer

27 27

Exercise #13

1.4×10= 1.4\times10=

Video Solution

Answer

14 14

Exercise #14

0.7×10= 0.7\times10=

Video Solution

Answer

7 7

Exercise #15

2.66×10= 2.66\times10=

Video Solution

Answer

26.6 26.6

Topics learned in later sections

  1. Division of Decimal Numbers
  2. Multiplication of Decimal Numbers
  3. Decimal Measurements
  4. Repeating Decimal
  5. Decimal Fractions