## Example Questions

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

Find the value of .      Explanation:

To solve for , divide each side of the equation by -2. is the same as which is POSITIVE ### Example Question #61 : Integers

What is ?

45     Explanation:

A negative number divided by a negative number always results in a positive number. divided by equals . Since the answer is positive, the answer cannot be or any other negative number.

### Example Question #5 : Negative Numbers

Solve for :       Explanation:

Subtract from both sides: , or Next, subtract from both sides: , or Then, divide both sides by : Recall that division of a negative by a negative gives you a positive, therefore: or ### Example Question #3 : How To Divide Negative Numbers

Solve for :       Explanation:

To solve this equation, you need to isolate the variable on one side. We can accomplish this by dividing by on both sides:  Anytime you divide, if the signs are the same (i.e. two positive, or two negative), you'll get a positive result.  If the signs are opposites (i.e. one positive, one negative) then you get a negative.

Both of the numbers here are negative, so we will have a positive result: ### Example Question #11 : Negative Numbers

Solve for :       Explanation:

To solve, you need to isolate the variable. We first subtract then divide by :   When dividing, if the signs of the numbers are the same (i.e. both positive, or both negative), you yield a positive result.  If the signs of the numbers are opposites (i.e. one of each), then you yield a negative result.

Therefore: ### All GRE Math Resources 