Squared numbers
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Squared numbers
Is there an easy way to remember the 'squared' numbers
2=4
3=9
4=16
5=25
6=36 etc
I'm sure I learned a way at school, but can't remember it and now it's bugging me!
JuliaB
2=4
3=9
4=16
5=25
6=36 etc
I'm sure I learned a way at school, but can't remember it and now it's bugging me!
JuliaB
Multiplication Grid
Suggestion - Create a matrix multiplicatoin grid table and highlight the squared numbers, or just print out:
http://www.elevenplusexams.co.uk/pdf/Ma ... _Aid_1.pdf
Seeing things visually as well as revising mentally will help re-enforce things in his mind.
http://www.elevenplusexams.co.uk/pdf/Ma ... _Aid_1.pdf
Seeing things visually as well as revising mentally will help re-enforce things in his mind.
Square numbers
A square number is the result of multiplying a number by itself, hence 1x1=1, 2x2=4, etc. One way of remembering to use the operation multiply is to recall the area of a square is by multiplying the base length by its height.
Squares ....
The first ten square numbers are -
1, 4, 9, 16, 25, 36, 49, 64, 81, 100 ...
Each is the result of multiplying a number by itself -
1 x 1, 2 x 2, 3 x 3, 4 x 4, 5 x 5 ...
The square of 7 is 49, and working backwards, we say the square root of 49 is 7.
All square numbers end in either a 0, 1, 4, 5, 6 or a 9. So if someone were to ask you if 225,736,192 was a square number, you could say 'no' right away because it ends in a 2.
If you subtract a square number from the next square number you get the odd numbers 3, 5, 7, 9 ...
1, 4, 9, 16, 25, 36, 49, 64, 81, 100 ...
Each is the result of multiplying a number by itself -
1 x 1, 2 x 2, 3 x 3, 4 x 4, 5 x 5 ...
The square of 7 is 49, and working backwards, we say the square root of 49 is 7.
All square numbers end in either a 0, 1, 4, 5, 6 or a 9. So if someone were to ask you if 225,736,192 was a square number, you could say 'no' right away because it ends in a 2.
If you subtract a square number from the next square number you get the odd numbers 3, 5, 7, 9 ...