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Earn +20 ptsQ: Is the inverse of a rational number also rational?
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Continue Learning about Basic Math
Does every rational number have an additive inverse and why?
yes
Does every rational number have an additive inverse?
Yes.
What is the additive inverse of a rational number?
It is the number with the same magnitude (absolute value) and the opposite sign.
How do you find the multplicate inverse of a rational number?
You take its reciprocal, that is you divide 1 by the number. A rational number can be written as a fraction with integer values in both the numerator and denominator, j/k. The multiplicative inverse of a number is what you have to multiply by to get a product of 1. Putting these ideas together, the multiplicative inverse is the reciprocal, or k/j: (j/k) * (k/j) = 1.
What type of number is negative 3.8?
It is a negative number. It is also a rational number; also, it's a real number.
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