What is the definition of inverse property?

Answer 1

There are inverse properties for many things in math. Commonly, we talk about it for addition and multiplication. So for addition, take any number a, there is an additive inverse -a such that a+ (-a) =0 For example, the additive inverse of 2 is -2 since 2+ -2=0 Similiarly for multiplication, for any number a, we have some number, 1/a such that a(1/a)=1. We call 1/a the multiplicative inverse. In a more abstract sense, we look at sets of objects in math and having an inverse is one of the properties a set needs to be a group. Other things, such as functions have inverses too. In fact, the inverse property is a big topic in math.