1. 1. Properties of Square Numbers By Parth Nagpal
2. 2. What is a Square Number? A number when multiplied with itself gives a square number. For Example, 2 2 = 4 3 3 = 9
3. 3. Look at this table Number Square Number Square 1 1 11 121 2 4 12 144 3 9 13 169 4 16 14 196 5 25 15 225 6 36 16 256 7 49 17 289 8 64 18 324 9 81 19 361 10 100 20 400
4. 4. Some Properties of Square Numbers The unit digit of a number ending in 0 is always 0. The unit digit of a number ending in 1 or 9 is always 1. The unit digit of a number ending in 2 or 8 is always 4. The unit digit of a number ending in 5 is always 5. The unit digit of a number ending in 4 or 6 is always 6. The unit digit of a number ending in 3 or 7 is always 9. So, the unit digit of a square number is always 0,1,4,5,6,9.
5. 5. Examples Number Square 10 100 20 400 Number Square 9 81 11 121 Number Square 12 144 18 324 Number Square 14 196 16 256 Number Square 5 25 15 225 Number Square 13 169 17 289
6. 6. Practice Questions Q1. Square of which of the following numbers will have 1 in its unit place? 29, 25, 18, 31, 49, 52, 21, 55 Q2. Square of which of the following numbers will have 6 in its unit place? 24, 85, 13, 76, 54, 41, 58, 66 Q3. Square of which of the following numbers will have 9 in its unit place? 36, 23, 77, 84, 47, 53, 67, 22