Table of contents  
Facts that Matter  
We know that  
Remember  
Properties of Square Number  
Some Interesting Patterns  
Solved Examples 
Table: Square of numbers from 1 and 10.
From the table, we conclude that:
Property 1: “The ending digits (the digits in the one’s place) of a square number is 0, 1, 4, 5, 6 or 9 only.”
Problem: What will be the unit’s digit in the square of the following numbers?
1. 12487
2. 1324
3. 91478
4. 1251
Solution: The unit’s digit in the square of the following is:
1. 12487 is 9 (as 7^{2} = 49, 9 in the unit’s place).
2. 1324 is 6 (as 4^{2} = 16, 6 in the unit’s place).
3. 91478 is 4 (as 8^{2} = 64, 4 in the unit’s place).
4. 1251 is 1 (as 1^{2} = 1, 1 in the unit’s place).
Solution: The square of an even number is always an even number and the square of an odd number is always an odd number. The square of an even number will always have 4, 6, or even zeros in its unit’s place. And the square of an odd number will always have 1, 5, or 9 in its unit’s place.
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1. What are some properties of square numbers? 
2. What are some interesting patterns related to square numbers? 
3. How can square numbers be used to solve problems? 
4. How do square numbers relate to square roots? 
5. Can you provide some examples of problems involving square numbers? 

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