Jump to Multiplying and Dividing Negative Numbers

To add and subtract negative numbers we can use a number line.

When we add we move to the right and when we subtract we move to the left.

**
Example 1: -3 + 5
**

The first number is the starting point. We start at -3.

We are adding so we are moving to the right.

We move 5 spaces to the right.
** -3 + 5 = 2**

**
Example 2: -2 - 6
**

The first number is the starting point. We start at -2.

We are subtracting so we are moving to the left.

We move 6 spaces to the left.
** -2 - 6 = -8**

**
Example 3: -4 + -5
**

The first number is the starting point. We start at -4.

We are adding so we are moving to the right.

We move -5 spaces to the right (this means we move 5 spaces to the left)
** -4 + -5 = -9**

**
Example 4: 2 - -5
**

The first number is the starting point. We start at 2.

We are subtracting so we are moving to the left.

We move -5 spaces to the left (this means we move 5 spaces to the right)
** 2 - -5 = 7**

**Try these:**

When we multiply negative numbers we use the rules:**
Positive × Positive = Positive
Positive × Negative = Negative
Negative × Positive = Negative
Negative × Negative = Positive
**

The rules for multiplying and dividing negative numbers are the same:**
Positive ÷ Positive = Positive
Positive ÷ Negative = Negative
Negative ÷ Positive = Negative
Negative ÷ Negative = Positive
**

**
Example 5: -6 × 2
**

6 × 2 = 12

Negative × Positive = Negative
** -6 × 2 = -12**

**
Example 6: 7 × -5
**

7 × 5 = 35

Positive × Negative = Negative
** 7 × -5 = -35**

**
Example 7: -9 × -4
**

9 × 4 = 36

Negative × Negative = Positive.
** -9 × -4 = 36**

**Try these:**