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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.
Is the multiplicative inverse of -54 ... 54?
No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.
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 the definition for the multiplicative inverse?
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.
The product of a number and its multiplicative inverse is?
1
