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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 a 2-digit number ending in 4
- Take a 2-digit number ending in 4.
- Square the 4; the last digit is 6: _ _ _ 6
(keep carry, 1.)
- Multiply the first digit by 8 and add the carry (1);
the 2nd number will be the next to the last digit:
_ _ X 6 (keep carry).
- Square the first digit and add the carry: X X _ _.
Example:
- If the number is 34, 4 × 4 = 16 (keep carry, 1);
the last digit is _ _ _ 6.
- 8 × 3 = 24 (multiply the first digit by 8), 24 + 1 = 25
(add the carry):
the next digit is 5: _ _ 5 6. (Keep carry, 2.)
- Square the first digit and add the carry, 2: 1 1 5 6.
- So 34 × 34 = 1156.
See the pattern?
- For 84 × 84, 4 × 4 = 16 (keep carry, 1);
the last digit is _ _ _ 6.
- 8 × 8 = 64 (multiply the first digit by 8),
64 + 1 = 65 (add the carry):
the next digit is 5: _ _ 5 6. (Keep carry, 6.)
- Square the first digit and add the carry, 6: 7 0 5 6.
- So 84 × 84 = 7056.
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