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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 in the 700s
- Choose a number in the 700s (practice with smaller numbers,
then progress to larger ones).
- Square the last two digits (keep the carry): _ _ _ _ X X
- Multiply the last two digits by 14 and
add the carry: _ _ X X _ _
- The first two digits will be 49 plus the carry:
X X _ _ _ _
Example:
- If the number to be squared is 704:
- Square the last two digits (keep the carry):
4 × 4 = 16: _ _ _ _ 1 6
- Multiply the last two digits by 14 and
add the carry: 14 × 4 = 56: _ _ 5 6 _ _
- The first two digits will be 49 plus the carry:
4 9 _ _ _ _
- So 704 × 704 = 495,616.
See the pattern?
- If the number to be squared is 725:
- Square the last two digits (keep the carry):
25 × 25 = 625: _ _ _ _ 2 5
- Multiply the last two digits by 14 and
add the carry: 14 × 25 = 10 × 25 + 4 × 25
= 250 + 100 = 350. 350 + 6 = 356: 56: _ _ 5 6 _ _
- The first two digits will be 49 plus the carry:
49 + 3 = 52: 5 2 _ _ _ _
- So 725 × 725 = 525,625.
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