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# Properties of Rational Numbers - Negative of a Number

#### notes

For instance , 2 + (–2) = (–2) + 2 = 0, so we say 2 is the negative or additive inverse of –2 and vice-versa.
In general, for an integer a, we have, a + (– a) = (– a) + a = 0; so, a is the negative of – a and – a is the negative of a.
For the rational number  2/3 , we have,

2/3 + (-2/3) = 2+(-2)/3 = 0
In general, for a rational number a/b , we have,
a/b + (-a/b) = (-a/b) + a/b = 0

We say that -a/b is the additive inverse of a/b and a/b is the additive inverse of -a/b.

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