Mammoth Memory

Squared numbers

Square number = Any number squared is multiplied by itself (22 = 2 x 2)

Square numbers are square….

Square numbers are…..square, see below (using pebbles).

1x1 is 1 and 2x2 is 4

 3 squared is 9

 4x4 is 16

See how each square grows. We extend each side and then fill out all the remainder.

Here are the first 10 numbers squared:

`1^2`

`=`

`1times1`

`=`

`1`

`2^2`

`=`

`2times2`

`=`

`4`

`3^2`

`=`

`3times3`

`=`

`9`

`4^2`

`=`

`4times4`

`=`

`16`

`5^2`

`=`

`5times5`

`=`

`25`

`6^2`

`=`

`6times6`

`=`

`36`

`7^2`

`=`

`7times7`

`=`

`49`

`8^2`

`=`

`8times8`

`=`

`64`

`9^2`

`=`

`9times9`

`=`

`81`

`10^2`

`=`

`10times10`

`=`

`100`


Example 1

`5^2=5times5=25`

 

Example 2

`(-5^2)=-5times-5=25`

(When we square a negative number we get a positive result)

 

Example 3

3 squared is 9 but 3 is the square root

3 squared is 9 just as the square root of 9 is 3

 

Example 4

`(3/4)^2=3/4times3/4=(3times3)/(4times4)=9/16`

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