Question

Perform the indicated operation. Show all necessary work.

Answer 1

The subtraction of a negative number is the same as addition of the

positive equivalent of the number.

The outputs of the operations are;

• (a) -2 - (-9) = 7

• (b) -2 - 9 = -11

• (c) -2 + 9 + 2 = 9

Reasons:

(a) The operation is -2 - (-9)

Which is the subtraction of negative 9 from negative 2, which gives, a double negative, which is equivalent to a positive, therefore, we get;

-2 - (-9) = -2 + 9 = 7

(b) The operation is -2 - 9

The above operation is the subtraction of +9 from negative 2, which gives;

-2 - 9 = -11

(c) The operation is -2 - (-9) - (-2)

The above operation is the subtraction of negative 9, and negative 2 from

negative 2, and therefore, has two double negatives that result two

positive(s) increases, as follows;

-2 - (-9) - (-2) = -2 + 9 + 2 = 9

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