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Earn +20 ptsQ: What is the additive inverse of a rational number?
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Does every rational number have an additive inverse and why?
yes
Does every rational number have an additive inverse?
Yes.
Is the inverse of a rational number also rational?
Always, unless the original number is zero. This does not have an inverse.
How are a number and its opposite represented on a number line?
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
What are inverse numbers?
An inverse, without any qualification, is taken to be the multiplicative inverse. is The inverse of a number, x (x not 0), is 1 divided by x. Any number multiplied by its inverse must be equal to 1. There is also an additive inverse. For any number y, the additive inverse is -y. And the sum of the two must always be 0.
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