For which rational number a is the statement 'a is its own additive in…

Question

For which rational number a is the statement 'a is its own additive inverse' TRUE?

Accepted Answer

A. a = 0

a + (−a) = 0 by definition of additive inverse.
For a to equal its own additive inverse, we need a = −a, i.e. 2a = 0 and so a = 0. Only 0 is its own additive inverse.

Answer

a = 1

Answer

a = −1

Answer

Any rational number

For which rational number a is the statement 'a is its own additive inverse' TRUE?

Keep practising Unit 1A3: Function Composition and Inverses