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Q: A rational number whose additive inverse is -7?

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A pair of numbers whose sum is zero. The additive inverse of 10 is -10 because 10+(-10) = 0.

Definition for additive inverse:Web definitions:(mathematics) one of a pair of numbers whose sum is zero; the additive inverse of -5 is +5. -56 + 56 = 0SO the additive inverse of 56 is -56 or negative 56

Sure. Just write the corresponding solution:"multiplicative inverse of x" = "additive inverse of x"1/x = -xIf you solve this, you get two solutions.

This may refer to the additive inverse, or to the multiplicative inverse. To find the additive opposite (negative) of a number multiply it by -1 The only number without an opposite is 0. To find the multiplicative inverse (reciprocal), make the number the numerator of a fraction (e.g., the reciprocal of 3 is 1/3). The additive inverse of 4 is minus 4 (the idea is to have two numbers that add up to zero), whereas the multiplicative inverse of 4 is 1/4 (the idea is to have two numbers whose product is 1).

These are often called "opposite numbers". The more precise term is "additive inverse". For example, the additive inverse of 5 is minus 5.

How about 27 whose cube root is 3 which is a rational whole number.

It is another rational number whose numerator and denominator (in the ratio's simplest form) are perfect squares.

It's rational. It can be written as the quotient of two numbers whose HCF is one.

8

The short answer is because of the definition. A longer answer is: Start of with a negative number X whose additive inverse is Y. SUPPOSE Y is not positive. Then X + Y is one negative, X, less another number that is at most 0, Y. So their sum is less than or equal to X. That is, X + Y is at least as negative as X (and possibly even more negative). But if Y is the additive inverse of X then, by definition (of additive inverses), X + Y MUST be 0. That is a contradiction. So somewhere down the line there is an incorrect supposition. The only supposition above is that Y is not positive. So that supposition must be incorrect. Therefore Y is positive.

A perfect square.

IN ALGEBRA muliplicative Inverse is the product of the number and the reiprocal of the number and after multiplying the number and the reciprocal the result will be 1.

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