# GRE Math : How to subtract negative numbers

## Example Questions

### Example Question #1 : How To Subtract Negative Numbers

Quantity A:

Quantity B:

Quantity B is greater

The two quantities are equal

The relationship cannot be determined from the information given.

Quantity A is greater

Quantity A is greater

Explanation:

Since both quantities have an , you can ignore this variable, which will give you  and for quantities A and B, respectively. Since  and  are both negative numbers,  must be bigger than , which means that no matter what numbers they are, Quantity A must be bigger.

### Example Question #1 : Negative Numbers

If  and  are integers such that   and , what is the smallest possible value of ?

Explanation:

To make  as small as possible, let  be as small as possible , and subtract the largest value of  possible :

### Example Question #3 : How To Subtract Negative Numbers

Quantity A:

Quantity B:

Which of the following is true?

The relationship between the quantities cannot be determined.

Quantity B is larger.

The two quantities are equal in size.

Quantity A is larger.

Quantity B is larger.

Explanation:

A problem like this one is very easy.  All you need to do is manage your arithmetic well.  Remember that when you subtract a negative number, this is the same as adding the positive of that number.  Therefore, you can rewrite each of your quantities:

Quantity A:

Using a calculator, this comes out to be:

Quantity B:

Using a calculator, this comes out to be:

Therefore, quantity B is larger.

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