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Algebra

Multiplicative inverse of -3?

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September 08, 2012 9:38PM

The multiplicative inverse of -3 is -(1/3) or negative one-third.

The multiplicative inverse of a number is the number that you multiply it by to get a result of 1 (the multiplicative identity). So, since -3 times -(1/3) is 1, -(1/3) is the multiplicative inverse of -3.

Similarly, +3 is the ADDITIVE inverse of -3. The additive inverse of a number is the number you add to it to get a result of 0 (the additive identity). So, since -3 + (+3) = 0, +3 is the additive inverse of -3.

The original answer given here was that the multiplicative inverse of -3 is +3, which is flat incorrect.