GRE Math : Decimal Operations

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Example Question #1 : How To Add Decimals

Solve for :

n = 0.867 + 3.244

Possible Answers:

n = 4.121

n = 4.111

n = 4.222

n = 4.321

n = 4.123

Correct answer:

n = 4.111

Explanation:

To add decimals, simply treat them like you would any other number. Any time two of the digits in a particular place (i.e. tenths, hundredths, thousandths) add up to more than ten, you have to carry the one to the next greatest column. Therefore:

.867 +3.244 = 4.111

So n = 4.111 .

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Example Question #1 : Decimals

Solve for :

y + 0.459 = 1.234

Possible Answers:

y = 0.765

y = 0.775

y = 0.875

y = 0.777

y = 0.785

Correct answer:

y = 0.775

Explanation:

To solve this problem, subtract 0.459 from both sides of the eqution, 1.234 - 0.459 = 0.775

Therefore, y = 0.775 .

If you're having trouble subtracting the decimal, mutliply both numbers by followed by a number of zeroes equal to the number of decimal places. Then subtract, then divide both numbers by the number you multiplied them by.

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Example Question #3 : Decimals

Solve for :

n - 9.85 = 10.75

Possible Answers:

n = 21.6

n = 20.6

n = 21

n = 20.620

n = 20

Correct answer:

n = 20.6

Explanation:

To solve, first add 9.85 to both sides of the equation:

n - 9.85 + 9.85 = 10.75 + 9.85

n = 10.75 + 9.85

Then add the decimals together:

n = 20.6

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Example Question #4 : Decimals

Solve for :

x - 4.150 = 2.818

Possible Answers:

x = 7.968

x = 7

x = 5.968

x = 6.968

x = 6.888

Correct answer:

x = 6.968

Explanation:

To solve, you need to do some algebra:

x - 4.150 = 2.818

Isolate x by adding the 4.150 to both sides of the equation.

x - 4.150 +4.150 = 2.818 + 4.150

x = 2.818 + 4.150

Then add the decimals. If you have trouble adding decimals, an effective method is to place one decimal over the other, and add the digits one at a time. Remember to carry every time the digits in a given place add up to more than .

x = 6.968

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Example Question #5 : Decimals

Solve for :

y - 1.2 = 3.865

Possible Answers:

y = 6

y = 6.065

y = 5.865

y = 5

y = 5.065

Correct answer:

y = 5.065

Explanation:

To solve for , first add 1.2 to both sides of the equation, so that you isolate the variable:

y - 1.2 + 1.2 = 3.865 + 1.2

y = 3.865 + 1.2

Then, add your decimals, and remember that 1.2 = 1.200 .

y = 5.065

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Example Question #1 : Decimals

Solve for :

p - 3.222 = 4.008

Possible Answers:

p = 7.222

p = 7.232

p = 7.32

p = 7.23

p=7.323

Correct answer:

p = 7.23

Explanation:

To solve, first add 3.222 to both sides of your equation, so you isolate the variable:

p - 3.222 + 3.222 = 4.008 + 3.222

p = 4.008 + 3.222

Then add the decimals together:

p = 7.23

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Example Question #1 : Decimal Operations

x > 0

Quantity A: x-1

Quantity B: 1-x

Possible Answers:

The relationship cannot be determined.

The two quantities are equal.

Quantity B is greater.

Quantity A is greater.

Correct answer:

The relationship cannot be determined.

Explanation:

Use the values of .5 and 2 as possible x values. If x = 2, Quantity A is positive and greater, but if x = .5, Quantity A is negative and therefore smaller. As such, the relationship cannot be determined.

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Example Question #1 : Decimal Operations

Solve for :

x + 0.238 = 0.999

Possible Answers:

x = 0.761

x = 0.981

x = 0.861

x = 0.781

x = 0.771

Correct answer:

x = 0.761

Explanation:

To solve for , subtract 0.238 from both sides of the equation. 0.999 - 0.238 = 0.761 , therefore, x = 0.761 .

If you have trouble subtracting the decimals, you can multiply both of them by 1000 to get whole numbers, then subtract as normal, then divide your result by 1000 .

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Example Question #2 : Decimal Operations

$0.327+\left(\frac{3}{8}-(0.048+2.176)\right)=?$

Possible Answers:

0.0532

1.242

0.793

-1.522

Correct answer:

-1.522

Explanation:

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

$0.327+\left(\frac{3}{8}-(0.048+2.176)\right)=$

$0.327+\left(\frac{3}{8}-(2.224)\right)$

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

$\frac{3}{8}=0.375$

0.327+(0.375-2.224)

0.327+(-1.849)

=0.327-1.849

=-1.522

The answer is -1.522 .

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Example Question #3 : Decimal Operations

find 0.7²

Possible Answers:

0.0049

4.9

0.49

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

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GRE Math : Decimal Operations

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #1 : How To Add Decimals

Example Question #1 : Decimals

Example Question #3 : Decimals

Example Question #4 : Decimals

Example Question #5 : Decimals

Example Question #1 : Decimals

Example Question #1 : Decimal Operations

Example Question #1 : Decimal Operations

Example Question #2 : Decimal Operations

Example Question #3 : Decimal Operations

All GRE Math Resources

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