Question

Please help! And please explain how you got your answer.

Write 37 1/2% as a decimal to the nearest thousandth.

A.
.037

B.
.038

C.
.375

D.
3.750

Answer 1

divide the percentage by 100

Answer 2

if you have 37 and 1/2 %, percentages are always out of 100. Think of it like a fraction. In this case, the fraction would be 37.5/100. divide that out on your calculator and it should give you the right answer. One way to remember it is like this:
if you have 100% , you have 100 out of 100, and the decimal would be 1.00
So, if you place the decimal after the hundreds spot and before the tens spot, you have effectively changed your percent from a percent to a decimal. In your case, you would put the decimal before the 3 in the 37.5, since the three is in the tens place. Therefore, 37 1/2% (or 37.5%) would be .375

Answer 3

Thank you!