Step by step
The question
Question: write 0.7 as a percent.
0.7
1 Write it over 100
0.7 has 1 digit after the point.
So we write it over 10.
1 digit after the point → over 10
0.7 is 7 tenths: 7/10.
= 710
Percent means out of 100.
So we want a bottom of 100.
We multiply the top and the bottom by 10.
= 7 × 1010 × 10
7 times 10 is 70.
10 times 10 is 100.
= 70100
Careful!
0.7% means 0.7 out of 100: far too small.
0.7 is 70 out of 100.
Careful: not 0.7 = 0.7% ✗
2 Write the percent
70 out of 100 is 70%.
= 70%
The short way: the point moves 2 places to the right.
0.7 → 70%
the point moves 2 places right
3 Check
Let's check: 70% is 70/100.
70 hundredths is 0.7.
So the answer is right!
Check: 70% = 70100 = 0.7
Let's look back.
First: write it over 100.
Then: write the percent.
Last: check.
Answer
= 70%