Step by step
The question
Question: write 12.5% as a decimal.
12.5%
1 Write it over 100
Percent means out of 100.
So 12.5% is 12.5/100.
= 12.5100
A fraction is written with whole numbers.
So we multiply the top and the bottom by 10.
= 12.5 × 10100 × 10
12.5 times 10 is 125.
100 times 10 is 1000.
= 1251000
2 Write the decimal
1000 has 3 zeros.
So the decimal has 3 digits after the point.
1000: 3 zeros → 3 digits after the point
125 thousandths is 0.125.
= 0.125
The short way: the point moves 2 places to the left.
12.5% → 0.125
the point moves 2 places left
3 Check
Let's check: go back.
0.125 is 125 thousandths.
That is 12.5/100.
So it is 12.5%.
So the answer is right!
Check: 0.125 = 1251000 = 12.5100 = 12.5%
Let's look back.
First: write it over 100.
Then: write the decimal.
Last: check.
Answer
= 0.125