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Sub. :- Mathematics Squares and Square Roots Std. :- 6 th Chapter no. 9
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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?
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" 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)
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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
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Write the squares of the following numbers 1)10 2)6 3)12 4)110 5)80 6)200
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Answers :- 1) 10 2 = 10 X 10 =100 2) 6 2 = 6 X 6 =36 3) 12 2 = 12 X 12 = 144
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Write the squares 1) 32 2 2) 20 2 3) 133 2
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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
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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
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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:
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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
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The square root of a number, n, written below is the number that gives n when multiplied by itself.
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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.
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