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It means, "With what number must I multiply it, to get a product of 1?"
For example, the multiplicative inverse of 4 is 0.25 (= 1/4), since 4 x 0.25 = 1. The multiplicative inverse of 5/17 is 17/5. In general, you can divide 1 by a number to get its multiplicative inverse; in the case of fractions, first convert the fraction to an improper fraction (if it is in the form of a mixed fraction), then simply exchange numerator and denominator.
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Is multiplicative inverse and reciprocal have the same definition?
Yes.
Why Is the product of a fraction and its multiplicative inverse 1?
The statement is true only for non-zero fractions and it follows from the definition of a multiplicative inverse.
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.
What is an multiplicative inverse of -.50?
The multiplicative inverse is 1/(-0.50) = -2
Multiplicative inverse of a negative number?
The multiplicative inverse is the negative of the reciprocal of the positive value. Thus the multiplicative inverse of -7 is -1/7.
