# Tic-Tac-Toe and Integer Multiplication & Division

By | September 8, 2016

# Is the result supposed to be positive or negative ?

The answer to this question is as easy as determining the winner of a game of Tic-Tac-Toe.

First, draw the famous Tic-Tac-Toe board which is just a pound sign or hashtag, #.

Second, place positive signs down the diagonal.

Next place negative signs in the remaining open spaces.

Now just follow the signs diagonally, horizontally or vertically as you would in a winning Tic-Tac-Toe game.

## Row 1

left to right ===> positive times a negative results in a negative.

right to left ===> negative times a negative results in a positive.

## Row 2

left to right ===> negative times a positive results in negative.

right to left ===> negative times a positive results in negative.

## Row 3

left to right ===> negative times a negative results in a positive.

right to left ===> positive times a negative results in a negative.

## Diagonals

top left to bottom right ===> positive times a positive results in a positive.

top right to bottom left ===> negative times a positive results in a negative.

## Top to bottom and Bottom to Top

You follow the same rules when going from top to bottom or from bottom to top.

## This method works for both Multiplication & Division of integers.

I hope that this helps!

Shout out to the math staff at Azalea Gardens Middle School.  They shared this teaching tool with me and now I am sharing it with you!