Easy Squaring Shortcut 10

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Easy Squaring Shortcut 10

Easy Squaring Shortcut 10(Squaring numbers between 3000 and 3099)
1.Choose a number between 3000 and 3099. (Start with numbers below 3025)
2.The first two digits are: 9 0 _ _ _ _ _
3.The next two digits are 6 times the last two digits:
    9 0 A A _ _ _
4.For the last three digits, square the last two digits in the number chosen (insert zeros when needed):
    9 0 _ _ A A A

Ex:
If the number to be squared is 3004:
The first two digits are: 9 0 _ _ _ _ _
The next two digits are 6 times the last two:
6 × 4 = 24: _ _ 2 4 _ _ _
For the last three digits, square the last two:
4 × 4 = 16: _ _ _ _ 0 1 6
Then 3004 × 3004 = 9,024,016.

For larger numbers, reverse the order:
1.If the number to be squared is 3025:
2.For the last three digits, square the last two:
   25 × 25 = 625: _ _ _ _ 6 2 5
3.The middle two digits are 6 times the last two (keep the carry):
   6 × 25 = 150 (keep carry of 1): _ _ 5 0 _ _ _
4.The first two digits are 90 + the carry:
   90 + 1 = 91: 9 1 _ _ _ _ _
5.Then 3025 × 3025 = 9,150,625.

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