In this lesson on algebra negative numbers are covered. Get information and negative numbers practice here.

### Multiplying and dividing negative numbers

There are two rules for multiplying and dividing numbers:

- If you're multiplying or dividing two numbers that are either both positive or both negative, your result will be
**positive**. - If you're multiplying or dividing a positive number and a negative number, your result will be
**negative**.

That's it! You multiply or divide as normal, then use these rules to determine whether the answer is positive or negative. For instance, take this problem,** -3**** ⋅ **-4. **3 ⋅ 4** is 12. Because both numbers we multiplied were negative, the answer is **positive**: 12.

-3 ⋅ -4 = 12

On the other hand, if we were to multiply** 3 ⋅ -4**, we'd get a different answer:

3 ⋅ -4 = -12

Again, **3 ⋅ 4** is 12. But because one of our multiples is **negative** and the other is **positive**, our answer must also be **negative**: -12.

It works the same way for division. **-40 / -10** is 4 because -**40** and **-10** are both **negatives**. However,** -40 / 10** is -4 because one number is **negative** and the other is **positive**.

Curious to learn more? This Khan Academy video explains why this works the way it does.

### Assessment

Want even more practice? Try out a short assessment to test your skills by clicking the link below:

Start Assessment