i dont get thissss :/ helpp?

Question

okayy theres a math bonus thing and i have no clue how to do it.
the problem says...What is the opposite of the reciprocal of the multiplicative inverse of the additive inverse of 5?

can someone explain how to do thiss?

Answer 1

Let's use x instead.

Additive Inverse: -x

Multiplicative Inverse: -1/x

Reciprocal: -x

Opposite: x

This is true for all numbers.

Answer: 5
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Here's an explanation using my brain.

Look at the multiplicative inverse and reciprocal.

The reciprocal of a reciprocal is the same as itself.

The additive inverse is also called the opposite.

So when you found the opposite and did the inverse of an inverse you got back the opposite number.

The opposite of an opposite then turns into your original number. The algebraic way to show it seems easier to understand.
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Here are all the steps all together in algebra.

-1 * (x^-1)^-1 * -1

(-1)^2 * x^(-1)^2 = 1 * x^1 = x

So you'll always get back to x.

Answer 2

Work backwards:

The additive inverse of 5 is -5 because 5 + (-5) = 0

The multiplicative inverse of -5 is -1/5 because -5(-1/5) = 1

The reciprocal of -1/5 is -5

The opposite of -5 is 5

Answer 3

take it one phrase at a time, from inside out:

opposite of (reciprocal of (multiplicative inverse of (additive inverse of (5)))) =
opposite of (reciprocal of (multiplicative inverse of ( -5))) =
opposite of (reciprocal of (-1/5)) =
opposite of (-5) =
5

reciprocal = multiplicative inverse
opposite = additive inverse