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:

12

=

1×1

=

1

22

=

2×2

=

4

32

=

3×3

=

9

42

=

4×4

=

16

52

=

5×5

=

25

62

=

6×6

=

36

72

=

7×7

=

49

82

=

8×8

=

64

92

=

9×9

=

81

102

=

10×10

=

100


Example 1

52=5×5=25

 

Example 2

(-52)=-5×-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

(34)2=34×34=3×34×4=916