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Dividing Positive and Negative Numbers

Dividing positive and negative numbers follows the same rules as multiplying positive and negative numbers. We’ll repost them here for you, using division examples instead of multiplication :

Rule 1: A positive number divided by a positive number gives you a positive number.

Example 1: This is the kind of division you’ve been doing for years, positive numbers divided by positive numbers. It would look like this: 12/3 = 4. 12 is positive, 3 is positive, thus, 4 is positive. We know that 12 and 3 are both positive because there are no negative signs in front of them.

Rule 2: A positive number divided by a negative number gives you a negative number.

Example 2: This is new – for example, you might have 12/-3. The 12 is positive, but the 3 is negative, so our answer has to be negative. Thus, we divide the numbers as we normally would, and then put a negative sign in front of our answer. So, 12/-3 = -4. Please note that this also works when the negative number comes first and the positive number is second. For example, you may see it written -12/3 = -4, but don’t get confused. The combination of one positive and one negative number, no matter which order they come in, means your answer is going to be negative.

Rule 3: A negative number divided by a negative number gives you a positive number.

Example 3: This is also new—and doesn’t seem to make much sense, but it is a rule we have to follow when dividing negative numbers. So, for example, we may have the problem -12/-4. Both the 12 and the 4 are negative, so we know our answer is going to be positive. Therefore, -12/-4 = 3.

Dividing Positive and Negative Numbers Quiz

Here are a few problems for you to practice working with positive and negative numbers. Do them on your own, and then check them with our answers.

1. 15/3 2. -24/6 3. 98/-2 4. -75/-25 5. -3/-1
6. 88/-11 7. 49/7 8. 100/-50 9. -34/17 10. -9/-3

Solutions

1. 5 2. -4 3. -49 4. 3 5. 3
6. -8 7. 7 8. -2 9. -2 10. 3