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# Subtracting negative numbers review

Review the basic of subtracting negative numbers and try some practice problems.

## Subtracting negative numbers

Subtracting a number is the same as adding the opposite of the number.
Let's look at two examples:
minus, 5, start color #e07d10, minus, 7, end color #e07d10, equals, minus, 5, start color #e07d10, plus, left parenthesis, minus, 7, right parenthesis, end color #e07d10
10, start color #e07d10, minus, left parenthesis, minus, 3, right parenthesis, end color #e07d10, equals, 10, start color #e07d10, plus, 3, end color #e07d10
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 $-$minus negative

Lets subtract minus, 5, minus, left parenthesis, minus, 6, right parenthesis.
Step 1: Rewrite as an addition problem
minus, 5, start color #e07d10, minus, left parenthesis, minus, 6, right parenthesis, end color #e07d10, equals, minus, 5, start color #e07d10, plus, 6, end color #e07d10
Step 2: Start at the first number in the addition problem, in this case minus, 5:
Step 3: Move 6 places to the right. We move 6 to the right because adding positive 6 increases our number by 6.
minus, 5, plus, 6 takes us to 1 on the number line.
minus, 5, minus, left parenthesis, minus, 6, right parenthesis, equals, 1

### Example 2: negative $-$minus positive

Lets subtract minus, 4, minus, 7.
Step 1: Rewrite as an addition problem
minus, 4, start color #e07d10, minus, 7, end color #e07d10, equals, minus, 4, start color #e07d10, plus, left parenthesis, minus, 7, right parenthesis, end color #e07d10
Step 2: Start at the first number in the addition problem, in this case minus, 4:
Step 3: Move 7 places to the left. We move 7 to the left because adding negative 7 decreases our number by 7.
minus, 4, plus, left parenthesis, minus, 7, right parenthesis takes us to minus, 11 on the number line.
minus, 4, minus, 7, equals, minus, 11