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# Multiplicative Inverse vs. Multiplicative Idendity

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What is a multiplicative inverse? If you can answer that question, what is a Multiplicative Identity? I was so mad that I couldn't do this myself for my math class. PLEASE HELP, I'M DESPRATE! Also, I wanted to know what the difference between the two is, thank y'all so much!

Oct 12, 2021

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The multiplicative identity is the number 1 because if you multiply any number by 1, you will get, as a result, the number that you started with. (You will have an answer that is identical to the number that you started with.)

A multiplicative inverse is the number that, when multiplied to the original number, will have a result of 1.

Thus, the multiplicative inverse of 2 is 1/2; the multiplicative inverse of 3 is 1/3;

the multiplicative inverse of 23 is 1/23; the multiplicative inverse of 3/4 is 4/3;

the multiplicative inverse of -1/3 is -3; etc.

The number zero has no multiplicative inverse; for all other numbers, the multiplicative inverse of x is 1/x.

Oct 13, 2021