## Subtracting negative numbers

Subtracting a number is the same as adding the opposite of the number.

Let's look at two examples:

Note: In both examples, we change subtraction to addition and changed the sign of the second number to the opposite sign.

*Want to know why this works? Check out this video.*

Once we have an addition problem, we can solve.

### Example 1: negative $-$ negative

Lets subtract $-5-(-6)$.

Step 1: Rewrite as an addition problem

Step 2: Start at the first number in the addition problem, in this case $-5$:

Step 3: Move $6$ places to the

**right**. We move $6$ to the**right**because**adding positive $6$ increases**our number by $6$.$-5+6$ takes us to $1$ on the number line.

### Example 2: negative $-$ positive

Lets subtract $-4-7$.

Step 1: Rewrite as an addition problem

Step 2: Start at the first number in the addition problem, in this case $-4$:

Step 3: Move $7$ places to the

**left**. We move $7$ to the**left**because**adding negative $7$ decreases**our number by $7$.$-4+(-7)$ takes us to $-11$ on the number line.

*Want to learn more about subtracting negative numbers? Check out this video.*