Question

Jane completes several example problems that ask her to the find the opposite of the opposite of a number, and for each example, the result is a positive number. Jane concludes that when she takes the opposite of the opposite of any number, the result will always be positive. Is Jane correct? Why or why not?

Answer 1

Answer:

Jane is not correct.

Step-by-step explanation:

Jane must have complete several examples using positive numbers. That conclusion does not apply for negative numbers.

Let's see an example:

Given the number 5:

• its opposite number is: -5
• the opposite of this opposite number: is 5

Note that is the same number and it is positive.

However, if we check the same situation with a negative number:

Given the number -3:

• its opposite number is: 3
• the opposite of this opposite number: is -3

In conclusion, Jane's conclusion is wrong. The opposite of the opposite number is not always a positive number.