We say it is a two by two square. We find the number of squares inside by multiplying the length by the height.
So 2 X 2 = 4. Instead of writing 2 X 2 we could write 22. This means 2 times by itself. (We say two squared).
The next square number is 9. (Do you know why?)
To make a square of 9 we have
to multiply 3 by itself or write 3 X 3 or 32.(we
say three squared)
Here is a drawing of 32 (Three squared)
Look how many small squares it contains (9).
So
we have seen that both 4 and 9 are square numbers We found these by: multiplying
2 by 2 to get 4 or 22 =4
Multiplying
3 by 3 to get 9 or 32 =9
(You will see this again in finding Areas)
Answer = 1 because 1 x 1 = 1 or 12 =1
Remember each square number must form a square
Can
you find the the square numbers up to 100?
42
= 52
=
62 =
72 =
82 = 92
=
102 =
42
=16
52 =25
62 =36
72 =49
82 =64
92
=81
102 =100
How
did you do?
Remember
and learn to recognise the square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81,100
The
numbers that you have to multiply to get the square numbers are called the
square root.
This
is the sign for the square root √.
For example the square root of 100 is 10 written as √100 = 10
Can
you find the square roots of the following numbers?
√81
= √49
= √4 =
√64 =
√36 =
√16
= √1
= √25
=
Which
one did I miss out?
√81
=9
√49 =7
√4 = 2
√64 = 8
√36 = 6
√16
= 4
√1 = 1
√25 = 5
Which
one did I miss out?
√9
= 3
To
finish, to multiply a number by itself, means to square it.
The
opposite (or the inverse) of squaring
a number is to find its square root.
Well
that wasn't too hard was it?
Good
luck