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Squaring Numbers
- beginning with 1
- beginning with 5
- beginning with 9
- ending in 1
- ending in 2
- ending in 3
- ending in 4
- ending in 5
- ending in 6
- ending in 7
- ending in 8
- ending in 9
- made up of 1's
- made up of 3's
- made up of 6's
- made up of 9's
- in the 20's
- in the 30's
- in the 40's
- in the 50's
- in the 60's
- in the 70's
- in the 80's
- in the 100's
- in the 200's
- in the 300's
- in the 400's
- in the 500's
- in the 600's
- in the 700's
- between 800-810
- in the 900's
- between 1000-1100
- between 2000-2099
- between 3000-3099
- between 4000-4099
- between 5000-5099
- between 6000-6099
- between 7000-7099
- 3's and final 1
- 3's and final 2
- 3's and final 4
- 3's and final 5
- 3's and final 6
- 3's and final 7
- 3's and final 8
- 3's and final 9
- 6's and final 1
- 6's and final 2
- 6's and final 3
- 6's and final 4
- 6's and final 5
- 6's and final 7
- 6's and final 8
- 6's and final 9
- 9's and final 1
- 9's and final 2
- 9's and final 3
- 9's and final 4
- 9's and final 5
- 9's and final 6
- 9's and final 7
- 9's and final 8
- 1 and repeating 3's
- 1 and repeating 6's
- 1 and repeating 9's
- 2 and repeating 3's
- 2 and repeating 6's
- 2 and repeating 9's
- 3 and repeating 6's
- 3 and repeating 9's
- 4 and repeating 3's
- 4 and repeating 6's
- 4 and repeating 9's
- 5 and repeating 3's
- 5 and repeating 6's
- 5 and repeating 9's
- 6 and repeating 3's
- 6 and repeating 9's
- 7 and repeating 3's
- 7 and repeating 6's
- 7 and repeating 9's
- 8 and repeating 3's
- 8 and repeating 9's
- 9 and repeating 3's
- 9 and repeating 6's
- 6-digits repeating
- 2 rep./sq. of 1 digit
Multiplying Numbers
Dividing Numbers
Adding Numbers
Subtracting Numbers
Finding Percents
Calculation
Practice Exercises
Full List
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Squaring numbers between 7000 and 7099
- Choose a number between 7000 and 7099.
- The first three digits are: 4 9 0 _ _ _ _ _
- The next two digits are 4 times the last two digits,
with zero added: _ _ _ X X _ _
- For the last three digits, square the last two digits
in the number chosen (insert zeros when needed):
_ _ _ _ _ X X X
Example:
- If the number to be squared is 7004:
- The first three digits are: 4 9 0 _ _ _ _ _
- The next two digits are 4 times the last two, with zero added:
4 × 4 = 16; 16 + 40 = 56: _ _ _ 5 6 _ _ _
- For the last three digits, square the last two:
4 × 4 = 16: _ _ _ _ 0 1 6
- So 7004 × 7004 = 49,056,016.
See the pattern?
For numbers greater than 7007, reverse the order:
- If the number to be squared is 7025:
- For the last three digits, square the last two:
25 × 25 = 625: _ _ _ _ 6 2 5
- For the middle two digits, add zero to the last two,
then add 4 times the last two:
250 + 4 × 25: 250 + 100 = 350 (keep carry):
_ _ _ 5 0 _ _ _
- The first three digits are 490 + the carry:
490 + 3 = 493: 4 9 3 _ _ _ _ _
- So 7025 × 7025 = 49,350,625.
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