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

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

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

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.

The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.

A perfect square.

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

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

The same number....

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

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

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.

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.

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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.

The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.