Division by Powers of 10
Similar to multiplication by powers of ten, division by powers of ten may be easily performed by noting the associated pattern:
100 ÷ 10 = 10
1000 ÷ 100 = 10
10,000 ÷ 1000 = 10
100,000 ÷ 10,000 = 10
It follows that dividing by powers of ten results in an answer, which may be attained by moving the decimal place to the left by a number of spaces equal to the number of zeros in the power of ten divided and inserting 0's into any empty spaces.
Example #1:
0.00003149625,832,119,333 ÷ 1000 = ?
Solution #1:
As 1000 contains three 0's, the answer
may be determined by moving the decimal three places to the left (no empty places to fill with 0's):
5,832,119.333
Example #2:
0.314962 ÷ 10,000 = ?
Solution #2:
As 10,000 contains four 0's, the answer may be determined by moving the decimal four places to the right (and filling empty places with 0's):
As 10,000 contains four 0's, the answer may be determined by moving the decimal four places to the right (and filling empty places with 0's):