Changes
From Karnataka Open Educational Resources
666 bytes added
, 11:28, 21 June 2022
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| What about the numbers which comes in between the two square numbers? | | What about the numbers which comes in between the two square numbers? |
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− | If we see the numbers 5^2=25 and 6^2=36 there comes many natural numbers between 25 and 36 but we can notice that there is no natural number between 5 and 6 so,the numbers which comes in between two perfect squares or square numbers are called non perfect squares | + | If we see the numbers 5^2=25 and 6^2=36 there comes many natural numbers between 25 and 36 but we can notice that there is no natural number between 5 and 6 so,the numbers which comes in between two perfect squares or square numbers are called non perfect squares. |
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| + | How to find square of a negative numbers? |
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| === Evaluation === | | === Evaluation === |
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| # The product obtained is 16 then how many beads are supposed to be taken? | | # The product obtained is 16 then how many beads are supposed to be taken? |
| # Name the perfect square between 20 and 30? | | # Name the perfect square between 20 and 30? |
− | # | + | # What is the square of 0? |
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| + | == Finding square of a negative number == |
| + | As we have already learnt how to find a square of a natural number,suppose if there is any integer -2. |
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| + | How do we find its square? |
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| + | Do we have the square of negative integers also? |
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| + | To answer all these questions let us recall the squaring of a natural number |
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| + | consider 3^2,we can write 3^2 as 3*3 which is 9 |
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| + | similarly let us take any negative integer such as (-4)^2, |
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| + | We can write this as (-4)*(-4), when we use the rules of multiplication of two negative integers the product becomes positive such that [-*-=+]then the square also becomes positive. |