7.3 Dividing by 10, 100 and 1,000
Dividing a decimal by 10, 100, 1,000 and so forth isn’t difficult. You will discover that every digit’s value changes, moving one or several positions to the right.
27 ÷ 100 
= 

= 0.27 

Foto: Fredrik Enander 

Here comes an example with decimals in the numerator.
Example A
1.2 ÷ 10
Here it’s really expansion (see 7.2) that we are using. Do you remember that we went through this on page 2.3?
If we extend 1.2 ÷ 10 with ten, we get twelve hundredths which is written 0.12.
1.2 ÷ 10 
= 

= 

= 
0.12 
Example B
1.37 ÷ 10
If we extend 1.37 ÷ 10 with one hundred, we get 137 thousandths which can be written 0.137.
1.37 ÷ 10 
= 

= 

= 
0.137 
Try to divide different decimals by 10, 100, and 1,000 with your calculator. What happens with the digit’s value if you divide the number 1,253.7 by 100?

= 
? 
Here are a few examples:
a. 
73.82 
÷ 
10 
= 
7.382 
b. 
73.82 
÷ 
100 
= 
0.7382 
c. 
73.82 
÷ 
1,000 
= 
0.07382 
