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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.
How a negative affects a multiplicative inverse?
A number and its multiplicative inverse have the same sign. So if one is negative, so is the other.
What are all the properties of division?
Properties of division are the same as the properties of multiplication with one exception. You can never divide by zero. This is because in some advanced math courses division is defined as multiplication by the Multiplicative Inverse, and by definition zero does not have a Multiplicative Inverse.
What is the definition of multiplicitive inverse?
The definition of an multipilicative inverse is a number that's times by the known number to attain a product of one. To find the multiplicative inverse is the same thing as the recipricol of the number. To find the multiplicitive inverse or recipricol of a number, first turn the number into a fraction, then switch the numerator and denominator around. The result is your multiplicitive inverse.
What are some real life examples of multiplicative inverse?
Here is one example of a practical use of multiplicative inverses. If you want to convert from feet to meters, you multiply by 0.3048. If you want to convert the other way round, you either DIVIDE by the same number, or you MULTIPLY by its multiplicative inverse. The same applies to many similar conversions.
