Question

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?

Answer 1

Yes this represents additive inverse,

 Since you are subtracting the same number 4 to get to zero.

Answer 2

The additive inverse of a number is simply the negation of the said number.

The given situation is an illustration additive inverse.

Given that:

$Runs \ up = 4\ stairs$

$Runs \ down = 4\ stairs$

Let:

$x \to up$

$y = down$

When Arianna runs up, we have:

$x = Runs\ up$

$x = 4$

When Arianna runs down, we have:

$y = -Runs\ down$ ---- the minus indicates a downward movement

So, we have:

$y = -4$

The additive inverse of a number n is -n

E.g. The additive inverse of 7 is -7

By comparing x and y, we have:

$y =-x$ and $x = -y$

Hence, the situation represents additive inverse.

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