# Question 0df40

Aug 11, 2016

Assuming that by "opposite" you mean the amount you would need to add to a number to get zero (that is, the "additive inverse") then:
$\textcolor{w h i t e}{\text{XXX}}$the opposite of the opposite of 2 is $\textcolor{g r e e n}{+ 2}$

#### Explanation:

Starting with the $\textcolor{red}{\text{opposite of 2}}$
$\textcolor{w h i t e}{\text{XXX")color(red)("the opposite of 2}}$ or $\textcolor{red}{\text{additive inverse of 2}}$
$\textcolor{w h i t e}{\text{XXX}}$is the amount we need to add to $\textcolor{red}{2}$ to get $\textcolor{p u r p \le}{0}$;
so,
$\textcolor{w h i t e}{\text{XXX")color(red)("the opposite of 2}}$ must be color(red)(""(-2))

Therefore $\textcolor{b l u e}{\text{the opposite of ")color(red)("the opposite of 2}}$
$\textcolor{w h i t e}{\text{XXX}}$is the amount we need to add to color(red)(""(-2)) to get $\textcolor{p u r p \le}{0}$;
so,
$\textcolor{w h i t e}{\text{XXX")color(blue)("the opposite of ")color(red)("the opposite of 2}}$ must be color(blue)(""(+2))#