A Double Negative = A Positive

A double negative occurs when a minus sign is in front of a negative number (which already has its own negative sign). For example:

What is 7 − (−3)?

Subtracting a negative number is equivalent to adding the corresponding positive number:

7 − (−3) = 7 + 3 = 10.

This is a very easy step to miss, especially when the double negative is somewhat hidden. For instance:

What is 7 − (12 − 9)?

Many people will make the mistake of computing this as 7 − 12 − 9 = −14. However, notice that the second term in the expression in parentheses has a double negative. Therefore, this expression should be calculated as 7 − 12 + 9 = 4.

Check Your Skills

  1. Does |−5 | + |5| + |−5| = |15|?

  2. If 4y − (x − 4) = 4x + (−y + 4), and neither x nor y = 0, what is