Squared numbers
Square number = Any number squared is multiplied by itself (22 = 2 x 2)
Square numbers are…..square, see below (using pebbles).
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 just as the square root of 9 is 3
Example 4
`(3/4)^2=3/4times3/4=(3times3)/(4times4)=9/16`
