QuestionIs the opposite of the opposite of a positive number positive or negative? Choose: positive, negative, or zero.

Studdy Solution

STEP 1

Assumptions1. We are given a positive number. . The operation of taking the opposite of a number changes its sign. If the number is positive, it becomes negative, and if it's negative, it becomes positive.

STEP 2

First, let's take the opposite of a positive number. Since the number is positive, taking its opposite will make it negative.
Let's denote the positive number as $a$ . So, the opposite of $a$ is $-a$ .

STEP 3

Next, we take the opposite of the result from the previous step. Since the result was negative, taking its opposite will make it positive.
So, the opposite of $-a$ is $-(-a)$ .

STEP 4

implify $-(-a)$ .
$-(-a) = a$
So, the opposite of the opposite of a positive number is a positive number.

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