GRE Math : Decimals and Percentage

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #2 : Percentage

Robert has  of his cereal left.  Choose the answer which best expresses as a decimal, how much of his cereal he has eaten.

Possible Answers:

Correct answer:

Explanation:

The easiest way to convert between percent and decimal is to first convert the percentage into a fraction:

 

Then, from the fraction, you can convert quite easily to a decimal:

HOWEVER--in this problem, they are asking you for the portion that makes up the rest of the cereal--so you need to subtract your decimal above from , which yields the correct answer:

Example Question #1 : How To Find Decimal Equivalent To A Percentage

Choose the answer below which best expresses the following as a decimal:

Possible Answers:

Correct answer:

Explanation:

When converting percents into decimals, know that the tens and ones digit of the percent will occupy the tenths and hundredths places of the decimal.  Any decimal following the whole percent will follow in sequence (i.e. the first decimal place in a percent corresponds to the thousandth place, and so on).  Therefore, ninety-seven point five percent is equal to:

Example Question #1 : Decimals And Percentage

Choose the answer which best expresses the following percentage as a decimal:

%

Possible Answers:

Correct answer:

Explanation:

To convert a percentage into a decimal, simply place the decimal point in front of the tens digit of the percentage.  So, % becomes .

Example Question #1 : How To Find Percentage Equivalent To A Decimal

Choose the answer below which best expresses the following decimal as a percent:

Possible Answers:

Correct answer:

Explanation:

To convert a percent into a decimal, simply know that the tenths place of the decimal will correspond to the tens digit of the percent, and the thousandths place of the decimal will correspond to the ones digit of the percent. Any ensuing digits will be behind a decimal in the final percent.  

Also converting a decimal to a percent can be accomplished by multiplying the percent by 100.

Therefore, the best answer here is:

Example Question #2 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

Then add your percent sign after:

Example Question #1 : Decimals And Percentage

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

 

Then add your percent sign:

 

 

Example Question #4 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

Then, add your percent sign after:

Example Question #5 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

Possible Answers:

Correct answer:

Explanation:

To find the equivalent percentage we need to multiply the decimal by 100.

 

Then, add your percent sign:

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