Step by step
The question
Question: write 0.075 as a percent.
0.075
1 Write it over 100
0.075 has 3 digits after the point.
So we write it over 1000.
3 digits after the point → over 1000
0.075 is 75 thousandths: 75/1000.
= 751000
Percent means out of 100.
So we want a bottom of 100.
We divide the top and the bottom by 10.
= 75 ÷ 101000 ÷ 10
75 divided by 10 is 7.5.
1000 divided by 10 is 100.
= 7.5100
Careful!
0.075% means 0.075 out of 100: far too small.
0.075 is 7.5 out of 100.
Careful: not 0.075 = 0.075% ✗
2 Write the percent
7.5 out of 100 is 7.5%.
= 7.5%
The short way: the point moves 2 places to the right.
0.075 → 7.5%
the point moves 2 places right
3 Check
Let's check: 7.5% is 7.5/100.
7.5 hundredths is 0.075.
So the answer is right!
Check: 7.5% = 7.5100 = 0.075
Let's look back.
First: write it over 100.
Then: write the percent.
Last: check.
Answer
= 7.5%