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How are the reciprocal of nonzero number and the multiplicative inverse of the numbers related?
For numbers with ordinary multiplication defined on them, they are the same.
What is another name for the multuplicative inverse?
reciprocal is the multiplicative inverse.
Is inverse operations a multiplication or division word?
Not necessarily. The inverse operation of finding a reciprocal is doing the same thing again. The inverse operation of raising a number to a power is taking the appropriate root, the inverse operation of exponentiation is taking logarithms; the inverse operation of taking the sine of an angle is finding the arcsine of the value (and similarly with other trigonometric functions);
Why does multiplying a reciprocal work in division fractions?
Because multiplication and division are inverse operations. And the reciprocal of a number is its multiplicative inverse.
What is the inverse of operation mean?
It is a second operation that "undoes" the first.For example, the inverse of "add 2" is "subtract 2";the inverse of "divide by 7" is "multiply by 7";the inverse of "take the reciprocal" is "take the reciprocal".
