Additive Inverse
Additive Inverse
Additive Inverse Of A Rational Number :
The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own additive inverse. In other words, the additive inverse of a rational number is the same number with opposite sign. For example additive inverse of 2/3 is -2/3.
For every rational number there is a rational number
such that:
The rational numbers satisfying the above property are called additive inverse or negative of each other. The additive inverse of
is written as
.
Illustration: Write the additive inverse of each of the following rational numbers:
Solution:The additive inverse can be written as:
(i) The additive inverse of is
(ii) The additive inverse of is
(iii) We have, . The additive inverse of
is
(iv) We have, . The additive inverse of
is
Illustration: Add the rational number and its additive inverse.
Solution : The additive inverse of is
.
Then, we have to add the number with the additive inverse
Write the additive inverse of : | |||
| Right Option : B | |||
| View Explanation | |||
The additive inverse | |||
| Right Option : A | |||
| View Explanation | |||
Write the additive inverse of : | |||
| Right Option : C | |||
| View Explanation | |||
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