Question

Question #0df40

Answer 1

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:
`color(white)("XXX")`the opposite of the opposite of 2 is `color(green)(+2)`

Explanation:

Starting with the `color(red)("opposite of 2")`
`color(white)("XXX")color(red)("the opposite of 2")` or `color(red)("additive inverse of 2")`
`color(white)("XXX")`is the amount we need to add to `color(red)(2)` to get `color(purple)(0)`;
so,
`color(white)("XXX")color(red)("the opposite of 2")` must be `color(red)(""(-2))`

Therefore `color(blue)("the opposite of ")color(red)("the opposite of 2")`
`color(white)("XXX")`is the amount we need to add to `color(red)(""(-2))` to get `color(purple)(0)`;
so,
`color(white)("XXX")color(blue)("the opposite of ")color(red)("the opposite of 2")` must be `color(blue)(""(+2))`