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Properties of Rational Numbers - Negative of a Number

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Negative of a number:

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.

`11/7 + (-11/7) = (-11/7) + 11/7 = 0`

So we say `11/7` is the negative or additive inverse of `-11/7` and vice-versa.

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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