John gained 8 pounds while on vacation, but lost 12 pounds after he returned home. Which number is the additive inverse of the change in John's weight?

Respuesta :

The additive inverse is the opposite of a number, meaning that if a number is positive, it's opposite is negative and vise versa. John's total weight change was -4, because he gained 8 and lost 12. Because of the additive inverse property, we know that the additive inverse of -4 (his weight change) is 4.

Dang john he needed to loose that weight but anyway yeah it 4

John's weight change = 8 + (−12) = 8 − 12 = −4

Therefore, the additive inverse of John's weight change is 4. The sum of a number and its additive inverse is 0.

−4 + 4 = 0