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Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Re: Intresting Facts: 1. Difference between the squares of
[#permalink]
17 Jan 2006, 19:20
1
Bookmarks
Finding squares of numbers from 26-50
Requirement is to know squares of 1 to 25
Take example of 37.
Distance from 25 is 12 on upper side
Now number that is 12 points on the lower side of 25 is 13. So square of 37 is 12 * 100 + 13^2 = 1369
This may sound difficult but it is not.
Lets take another example of 48
Distance from 25 is 23 on the upper side
Now number that is 23 points on the lower side of 25 is 2. So square of 48 is 23*100 + 2^2 = 2304
Schools:Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Re: Intresting Facts: 1. Difference between the squares of
[#permalink]
17 Jan 2006, 19:25
Finding square of any number
We will do it by example of 96
Steps:
1. Find a multiple of 10 nearest to 96 i.e 100
2. Is that multiple greater than 96 or lower than 96, and how much? If greater then subtract the difference from 96, if lower then add the difference to 96. Here we will add. i.e 96 - 4 = 92
3. Multiply the integer found in step 1 to step 2 i.e 9200
4. Add the square of difference found in step 2 i.e 4^2 = 16 i.e 9200 + 16 = 9616
I guarantee that this is a very easy method.
Suggestion: If you know the squares of 1 to 25 then its always advisable to find the nearest multiple a number so that multiplication with that multipe of 10 is easy.
For example, to find square of 82 you may find 80 as nearest multiple of 10 but why not take 100 as the nearest.
Then square of 82 is (82-18) * 100 + 324 = 6724
Don't think its difficult. Try it and then find yourself. _________________
Re: Intresting Facts: 1. Difference between the squares of
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31 Jan 2015, 09:55
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