GRE Math : Decimals

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #8 :Decimal Operations

Solve for:

Possible Answers:

Correct answer:

Explanation:

To solve for, subtractfrom both sides of the equation., therefore,.

If you have trouble subtracting the decimals, you can multiply both of them byto get whole numbers, then subtract as normal, then divide your result by.

Example Question #11 :Decimals

Possible Answers:

Correct answer:

Explanation:

Make sure to follow the order of operations. Begin by combining all terms inside the parentheses:

Convert the fraction to a decimal and once again complete the operations inside the parentheses:

The answer is.

Example Question #11 :Decimals

find 0.72

Possible Answers:

0.0049

0.49

49

4.9

0.049

Correct answer:

0.49

Explanation:

0.7 * 0.7 = 0.49

Trick: do the numbers without the decimals (7*7)

49; move the decimal of the answer the total number of spaces per each number (one for each 0.7)

0.49

Example Question #1 :How To Multiply Decimals

There are 3,500 people in group A and 5,000 people in group B:

Car Type

% in Group A Who Own

% in Group B Who Own

Motorbike

4

9

Sedan

35

25

Minivan

22

15

Van

9

12

Coupe

3

6

The number of people in group B who own a minivan is how much greater or less than the number of people in group A who own a minivan?

Possible Answers:

15 more

50 fewer

30 more

20 fewer

30 fewer

Correct answer:

20 fewer

Explanation:

In this question, simply take the percentage of each group that owns a minivan and compare the values. For minivans we look at the middle row which we recognize as a percent that must be converted to a decimal. Acknowledge that there's a different number of people between the groups A and B:

Group B: 0.15(5000) = 750

Group A: 0.22(3500) = 770

750 – 770 = –20; thus, group B has20 fewerpeople who own minivans than group A.

Example Question #11 :Decimals

Given that, which best describes the relationship between,, and?

Possible Answers:

Correct answer:

Explanation:

We must recognize that if x and y are both between 0 and 1, then they must be fractions (decimals). To determine their relationships, we can substitute values for x and y. Let's haveand(because y must be greater than x).

If x and y are both between 0 and 1, then xy is also between 0 and 1 (though smaller than either x or y individually).

The value of (xy)2will be less than (xy), since squaring any number between 0 and 1 gives a smaller result.

Finally,is largest, since dividing a larger number by a smaller one gives a result greater than 1.

Note that the substituted values for x and y were purely hypothetical; any values that satisfy the given inequality could be used.

Example Question #1374 :Act Math

You bought a dozen eggs marked atand receivedchange from. What is the percent of sales tax?

Possible Answers:

Correct answer:

Explanation:

Set the equation up as

Solve for, which equals

or

Therefore the percent sales tax is:

Example Question #1 :How To Divide Decimals

Solve for:

Possible Answers:

Correct answer:

Explanation:

To solve, first divide both sides of the equation by, leaving you with:

Then simply divide the decimals, which will yield your answer:

.

If you have trouble dividing the decimals, you can multiply both of the numbers by one followed by a number of zeroes equal to the number of digits beyond the decimal point (one hundred, in this case), then divide, then divide your result by the same number (one hundred again).

Example Question #12 :Decimals

Solve for(精确到100necessary)

Possible Answers:

Correct answer:

Explanation:

To solve, first divide both sides of the equation by:

To do this division, you can divide as normal, or if you are having trouble, you can multiply both numbers by 10 to eliminate the decimal:

Example Question #3 :How To Divide Decimals

Solve for:

Possible Answers:

Correct answer:

Explanation:

To solve, first divide both sides of the equation byso you isolate the variable:

Then, divide the decimal--if you have trouble doing so, remember that you can multiply both numbers byto eliminate the decimal, and then divide as normal:

Example Question #4 :How To Divide Decimals

Solve for:

Possible Answers:

Correct answer:

Explanation:

To solve, first divide both sides of the equation byso you can isolate the variable:

Now divide. If you have trouble dividing decimals, you may multiply both dividend and divisor by消除小数点和分裂通常:

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