# GRE Math : Decimal Operations

## Example Questions

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### Example Question #1 : Decimals

Solve for :

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:

So .

### Example Question #351 : Arithmetic

Solve for :

Explanation:

To solve this problem, subtract  from both sides of the eqution,

Therefore, .

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.

### Example Question #3 : Decimals

Solve for :

Explanation:

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

### Example Question #4 : Decimals

Solve for :

Explanation:

To solve, you need to do some algebra:

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

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 .

### Example Question #5 : Decimals

Solve for :

Explanation:

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

### Example Question #6 : Decimals

Solve for :

Explanation:

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

### Example Question #1 : Decimals

Quantity A:

Quantity B:

Quantity A is greater.

The relationship cannot be determined.

The two quantities are equal.

Quantity B is greater.

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.

### Example Question #11 : Decimals

Solve for :

Explanation:

To solve for , subtract  from both sides of the equation.  , therefore, .

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

### Example Question #12 : Decimals

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:

### Example Question #13 : Decimals

find 0.72

0.049

4.9

0.0049

0.49

49

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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