Posts Tagged ‘Additive’

Additive Inverse

Additive Inverse

For any real number a, the number 2a is the additive inverse of a.

Change the sign of a number to get its additive inverse. The sum of a number

and its additive inverse is always 0.

 

The symbol “-” can be used to indicate any of the following:

a.    a negative number, such as -9 or -15;

 

b. the additive inverse of a number, as in “- 4 is the additive inverse of 4”;

 

c. subtraction, as in 12 – 3.

 

In the expression – (-5), the symbol “-” is being used in two ways: the

first – indicates the additive inverse of -5, and the second indicates a negative

number, -5. Since the additive inverse of – 5 is 5, then – (- 5) = 5. This

example suggests the following property.

 

 For any real number a,      – (a) = a.