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Properties of Rational Numbers - Negative of a Number

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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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