Squaring Numbers

1. beginning with 1
2. beginning with 5
3. beginning with 9
4. ending in 1
5. ending in 2
6. ending in 3
7. ending in 4
8. ending in 5
9. ending in 6
10. ending in 7
11. ending in 8
12. ending in 9
13. made up of 1's
14. made up of 3's
15. made up of 6's
16. made up of 9's
17. in the 20's
18. in the 30's
19. in the 40's
20. in the 50's
21. in the 60's
22. in the 70's
23. in the 80's
24. in the 100's
25. in the 200's
26. in the 300's
27. in the 400's
28. in the 500's
29. in the 600's
30. in the 700's
31. between 800-810
32. in the 900's
33. between 1000-1100
34. between 2000-2099
35. between 3000-3099
36. between 4000-4099
37. between 5000-5099
38. between 6000-6099
39. between 7000-7099
40. 3's and final 1
41. 3's and final 2
42. 3's and final 4
43. 3's and final 5
44. 3's and final 6
45. 3's and final 7
46. 3's and final 8
47. 3's and final 9
48. 6's and final 1
49. 6's and final 2
50. 6's and final 3
51. 6's and final 4
52. 6's and final 5
53. 6's and final 7
54. 6's and final 8
55. 6's and final 9
56. 9's and final 1
57. 9's and final 2
58. 9's and final 3
59. 9's and final 4
60. 9's and final 5
61. 9's and final 6
62. 9's and final 7
63. 9's and final 8
64. 1 and repeating 3's
65. 1 and repeating 6's
66. 1 and repeating 9's
67. 2 and repeating 3's
68. 2 and repeating 6's
69. 2 and repeating 9's
70. 3 and repeating 6's
71. 3 and repeating 9's
72. 4 and repeating 3's
73. 4 and repeating 6's
74. 4 and repeating 9's
75. 5 and repeating 3's
76. 5 and repeating 6's
77. 5 and repeating 9's
78. 6 and repeating 3's
79. 6 and repeating 9's
80. 7 and repeating 3's
81. 7 and repeating 6's
82. 7 and repeating 9's
83. 8 and repeating 3's
84. 8 and repeating 9's
85. 9 and repeating 3's
86. 9 and repeating 6's
87. 6-digits repeating
88. 2 rep./sq. of 1 digit

 Multiplying Numbers

 Dividing Numbers

 Adding Numbers

 Subtracting Numbers

 Finding Percents

Calculation
Practice Exercises

   Squaring numbers made up of threes

1. Choose a a number made up of threes.
2. The square is made up of:
   1. one fewer 1 than there are repeating 3's
   2. zero
   3. one fewer 8 than there are repeating 3's
      (same as the 1's in the square)
   4. nine.

   Example:

1. If the number to be squared is 3333:
2. The square of the number has:

   three 1's (one fewer than
digits in number)                1 1 1 _ _ _ _ _
next digit is 0                  _ _ _ 0 _ _ _ _
three 8's (same number as 1's)   _ _ _ _ 8 8 8 _
a final 9                        _ _ _ _ _ _ _ 9

3. So 3333 × 3333 = 11108889.

   See the pattern?

1. If the number to be squared is 333:
2. The square of the number has:

   two 1's                          1 1 _ _ _ _ _
next digit is 0                  _ _ _ 0 _ _ _
two 8's                          _ _ _ _ 8 8 _
a final 9                        _ _ _ _ _ _ 9

3. So 333 × 333 = 110889.