## Example Questions

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

What is ?

Possible Answers:  45  Correct answer: 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 #2 : Negative Numbers

Solve for : Possible Answers:     Correct answer: Explanation:

Begin by isolating your variable.

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 #2 : How To Add / Subtract / Multiply / Divide Negative Numbers

Solve the following equation: Possible Answers:     Correct answer: Explanation:

The rule for dividing negative numbers is the same as for multiplying negative numbers.

If both numbers are negative, you will get a positive answer.

If either number is positive, and the other is negative, you will get a negative answer.

Therefore: ### Example Question #1 : How To Add / Subtract / Multiply / Divide Negative Numbers

Choose the answer which best solves the following equation: Possible Answers:     Correct answer: Explanation:

To solve, first put the equation in terms of : First multiply the x to both sides. Now divide by 12 to solve for x. Here, because one of the numbers in the equation is positive, and the other is negative, the answer must be a negative number: ### All ACT Math Resources 