1. Sub. :- Mathematics Squares and Square Roots Std. :- 6 th Chapter no. 9

2. How to Square A Number Any number multiplied by itself is called square of that number. 3 Squared== 3 × 3 = 9 Example: What is 3 squared?

3. " Squared" is often written as a little 2 like this: This says "4 Squared equals 16" (the little 2 says the number appears twice in multiplying)

4. Squares From 1 2 to 6 2 1 Squared=1212 =1 × 1=1 2 Squared=2 =2 × 2=4 3 Squared=3232 =3 × 3=9 4 Squared=4242 =4 × 4=16 5 Squared=5252 =5 × 5=25 6 Squared=6262 =6 × 6=36

5. Write the squares of the following numbers 1)10 2)6 3)12 4)110 5)80 6)200

6. Answers :- 1) 10 2 = 10 X 10 =100 2) 6 2 = 6 X 6 =36 3) 12 2 = 12 X 12 = 144

7. Write the squares 1) 32 2 2) 20 2 3) 133 2

8. Square of any number having 5 in unit place Let us take an example 25 2 = (2× (2+1)) │ 5 2 = (2× 3) │25 = 625 So 25 2 = 625 Let us take one more example 45 2 = (4× (4+1)) │ 5 2 =4× 5 │25 45 2 =2025 Practice: 1) 35 2 2) 55 2 3) 95 2 4)105 2 5)115 2

9. Negative Numbers You can also square negative numbers. Example: What happens when you square (-5) ? Answer: (-5) × (-5) = 25 (because a negative times a negative gives a positive)negative times a negative gives a positive

10. That was interesting! When you square a negative number you get a positive result. Just the same as if you had squared a positive number: Square 5, then do the minus: Square (-5): -(5×5) = -25 (-5)×(-5) = +25 Note: if someone says "minus 5 squared" do you: Square the 5, then do the minus? Or do you square (-5) ? You get different answers:

11. Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself.inverse operation The Square root The perfect squares are the squares of the whole numbers. This is the symbol of square root

12. The square root of a number, n, written below is the number that gives n when multiplied by itself.

13. The square root of a number, n, written is the number that gives n when multiplied by itself. For example, because 10 x 10 = 100 Examples Here are the square roots of all the perfect squares from 1 to 100.