1. The faster way to find squares near 100.
1. If a number is more than 100.
2. If a number is less than 100.

2. 1. If a number
is more
than 100.

3.  In 104, 4 is more than 100, so we add 4 to
104.
104 + 4 = 108
 We get first three digit of our answer. But
the base is 100, so we have two places to go.
 Now square the digit we add means 42 .
42 = 16
 We get the answer : (104)2 = 10816

4. METHOD
100 + 4 = 104 104 4
+ 4 104  4
108 16
10816

5. STEPS TO FIND (112)2
• Here 12 is more than 100, so we add 12 to
112.
112 + 12 = 124
• We get first three digit but the base is 100,
so we have two places to go.
• Now square the digit we add means 122
122 = 144

6. • But here we have only two places to go
therefore, 1 will be carry and added to 124.
124 + 1 = 125
• We get the answer: (112)2 = 12544

7. METHOD
100 +12 = 112 112 12
+ 12 112 12
124 144
+1
125 44
12544

8. 2. If a number
is less than
100.

9. • 96 at a distance of (-4) from 100, so we
subtract 4 from 96.
96 – 4 = 92
• We get first two digit of our answer, but the
base is 100, so we have two places to go.
• Now sqaure the digit, we subtract means 42.
42 = 16
• We get the answer: (96)2 = 9216

10. METHOD
100 - 4 = 96 96 4
- 4 96 4
92 16
9216

11. STEPS TO FIND (89)2
• 89 at a distance of (-11) from 100, so we
subtract 11 from 89.
89 – 11 = 78
• We get first two digits of our answer,
but the base is 100, so we have two
places to go.

12. • Now square the digit, we subtract means 112
11 2 = 121
• But here we have two places to go, so 1 will
be carry and added to 78.
78 + 1 = 79
• We get the answer : (89)2 = 7921

13. METHOD
100 – 11 = 89 89 11
- 11 89  11
78 121
+1
79 21
7921