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Is the multiplicative inverse of a rational number an integer?
No, it is not. 3/5 is rational and its multiplicative inverse is 5/3 which is not an integer.
How do you determine the multiplicative inverse of a number?
The multiplicative inverse of a number is its reciprocal, meaning the multiplicative inverse of the rational number a/b is b/a. In the specialized case for integers, the multiplicative inverse of n is 1/n. This is due to the fact that a/b * b/a = 1 and n * 1/n = 1, which is the definition of a multiplicative inverse. More succinctly, to find the multiplicative inverse you "flip" the fraction or integer around to its reciprocal. This is the number that when multiplied with the original number results in a product of 1.
Why doesn't every real number have a multiplicative inverse?
The only real (or complex) number which does not have a multiplicative inverse is 0. There is nothing you can multiply by 0 to get 1.
What is the sum of an integer and its opposite?
If by "opposite" you mean its additive inverse, the answer is 0. If by "opposite" you mean its multiplicative inverse, for the number x, it will be (x+1/x).
What is an multiplicative inverse of -.50?
The multiplicative inverse is 1/(-0.50) = -2
