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| Home » Maths Tricks » Squaring A Number In The Two Hundreds. |
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| Maths Tricks of Squaring A Number In The Two Hundreds. |
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Squaring a number in the two hundreds. |
Choose a number in the 200s (practice with numbers under 210, then progress to larger ones).
Square the first digit = 4: __4 _ _ _ _
The next two digits will be 4 times the last 2 digits: _ X X _ _
The last two places will be the square of the last digit: _ _ _ X X
Example:
If the number to be squared is 206:
The first digit is 4: 4 _ _ _ _
The next two digits are 4 times the last two digits :
4 x 6 = 24: _ 2 4 _ _
Square the last digit: 6 x 6 = 36: _ _ _ 3 6
So 206 x 206 = 42436.
For larger numbers work right to left:
Square the last two digits (keep the carry): _ _ _ X X
4 times the last two digits + carry: _ X X _ _
Square the first digit + carry: X _ _ _ _
See the pattern?
If the number to be squared is 225:
Square last two digits (keep carry):
25x25 = 625 (keep 6): _ _ _ 2 5
4 times the last two digits + carry:
4x25 = 100; 100+6 = 106 (keep 1): _ 0 6 _ _
Square the first digit + carry:
2x2 = 4; 4+1 = 5: 5 _ _ _ _
So 225 x 225 = 50625.
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