Easy Squaring Shortcut 9

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Easy Squaring Shortcut 9

Easy Squaring Shortcut 9 (Squaring numbers between 2000 and 2099)
1: Choose a number between 2000 and 2099. (Start with numbers below 2025 to begin with,
     then graduate to larger numbers.)
2: The first two digits are: 4 0 _ _ _ _ _
3: The next two digits are 4 times the last two digits: 4 0 Y Y _ _ _
4: For the last three digits, square the last two digits in the number chosen (insert zeros when needed):
4 0 _ _ Y Y Y

Ex1:
For larger numbers, reverse the order:
1. If the number to be squared is 2025:
2. For the last three digits, square the last two:
25 × 25 = 625: _ _ _ _ 6 2 5
3. The middle two digits are 4 times the last two (keep the carry):
4 × 25 = 100 (keep carry of 1): _ _ 0 0 _ _ _
4. The first two digits are 40 + the carry:
40 + 1 = 41: 4 1 _ _ _ _ _
5. Then 2025 × 2025 = 4,100,625.

Ex2:
1. If the number to be squared is 2004:
2. The first two digits are: 4 0 _ _ _ _ _
3. The next two digits are 4 times the last two: 4 × 4 = 16: _ _ 1 6 _ _ _
4. For the last three digits, square the last two:
4 × 4 = 16: _ _ _ _ 0 1 6
5. Then 2004 × 2004 = 4,016,016.


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