Asked in Algebra
Multiplicative inverse of -3?
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.