Algebra

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# Multiplying Negative Numbers

## The Rule: How to Multiply Negative Numbers

The result of multiplying negative numbers is given as:**Negative number times negative number = positive number****Negative number times positive number = negative number****Positive number times negative number = negative number**

This is because multiplying some number by a negative number flips the sign. So, if a positive number gets multiplied by a negative number, the positive number’s sign gets flipped to negative.

Likewise, if a negative number gets multiplied by a negative number, the negative number’s sign will get flipped to positive.

### Example Problems

**Problem 1:**

Solve (-4)(3).

Solution:

1.) The negative 4 will flip the sign of the positive 3.

2.) **(-4)(3) = -12**

**Problem 2:**

Solve (-10)(-2).

Solution:

1.) The negative 10 will flip the sign of the negative 2.

2.) **(-10)(-2) = 20**