What Is Wrong with the Following "Proof" That -3=3

question 97

Essay

What is wrong with the following "proof" that -3=3 , using backward reasoning? Assume that -3=3 . Squaring both sides yields (-3)²=3² , or 9=9 . Therefore -3=3 .

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Definitions:

Middle School

An educational institution for children typically in the early adolescent years, serving as a bridge between elementary school and high school.

Junior High

An educational level that serves as a bridge between elementary school and high school, typically including grades 7 through 9.

Peekaboo

A game played with babies that involves hiding and suddenly reappearing, intended to entertain and develop the child's understanding of object permanence.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or otherwise sensed, a concept developed during infancy.