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What is a rational whose cube root is a whole number?
How about 27 whose cube root is 3 which is a rational whole number.
Is the number 0.112123123412345. a rational or irrational number?
It's rational. It can be written as the quotient of two numbers whose HCF is one.
Why is the additive inverse of a positive number always negative?
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.
What will happen to a whole number when it's multiplied by a fraction that is greater than 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.
A rational number whose square root is a whole number?
A perfect square.
