Take an arbitrary value y, the additive inverse is -y, because y +(-y) 0, the numtiplicative inverse is 1/y, because y * 1/y 1. In the addition it has to equal zero because 0 is the identity value of addition, because any number x + 0 x. Same goes for the multiplicative inverse, x * 1 x.
The additive inverse of -2/3 is the number which you can add to -2/3 to get 0. Specifically, it's the negative of the number, i.e. 2/3, since: -2/3 + 2/3 0 The multiplicative inverse of a number is the number which you can multiply with -2/3 to get 1. Specifically, it's the reciprocal of the number, i.e. -3/2, since: -2/3 * -3/2 1 Hope that helps!
Given a number n, additive inverse is another number -n, such that n + (-n) 0. So for your example, find a number such that when added to given number, resulting sum is 0. Most of the time, additive inverse is just opposite of the number. ex) -2/3 + 2/3 0 so 2/3 is additive inverse. Given number n, multiplicative inverse is another number 1/n, such that n * (1/n) 1. So for your example, find a number such that when multiplied to given number, resulting product is 1. Most of the time, multiplicative inverse is just reciprocal of the number. ex) -2/3 * -3/2 1 so -3/2 is multiplicative inverse.
