Finding square(Any digit)

Blazing goIITian

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26 Aug 2008 18:29:11 IST
Posts: 2717
26 Aug 2008 18:29:11 IST
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Finding square(Any digit)
I will explain an easy way of finding the square of a number (any number of digits.)

I will explain for 2, 3 and 4 digits numbers.

Example 1:

Two digits: 78

First square seven 72=49

Write it down.
Then you multiply the both digits and make it double, 7*8*2=112

Write it down. (I will show how to write it.)

Now the next digit 8.

Square it 82=64 (I will show how to write.)
Just see the image at the bottom.
Easy………..






Now a three digit number.
Now a three digit number.
Example: 458
Step 1: Square the first digit 42=16
Step 2: The next two digit 4 and 5. Multiply together and double it. 4*5*2=40
Step 3: Now take all the digits multiply 4 and 8 and double it and add 52=25 to it. We will get
(4*8*2)+25=89.Write it as shown,
Step 4: the next two digits including 5. 5 and 8. Multiply together and double it. 5*8*2=80



Step 5:   The last digit 8. Square it and write it down. 82=64.

So we end all the calculations and here comes the trick to write it.


I will make it shorter.

First take the first digit and square it.

Then take the next two digits and do as mentioned.

Then take all three digits together and do as mentioned.

Then leave the first digit and take the last two digits.

Then leave the first two digits and take the last digit and do as mentioned.

 

Ok now for four digits!!!



You may think that it would be complicated. But if you find 5-6 squares with it then it becomes really easy!!!

For Four digits...........

Example:  1234

Step 1: 12=1 write down.

Step 2: Consider 1 and 2. Multiply and double it. 1*2*2=4

Step 3 : Now consider 1,2 and 3. Do the Step 3 for a 3 digit number. Multiply 1 and 3 and double it. 1*3*2=6. Add 22=4 to it. So it becomes 10.

Step 4 : Now consider 1,2,3 and 4. multiply 1 and 4 and double it.1*4*2=8. Now multiply 2 and 3 and multiply it and double it. 2*3*2=12 add them. 8+12=20.

Step 5: Now 2,3 and 4. (Same as step 3.......) 2*4*2+32 =25.

Step 6: Now 3 and 4. Multiply and double them. 3*4*2=24.

Step 7: Last step. 42=16.



I hope you comment and rate the article.

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Comments (19)

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Blazing goIITian

Joined: 12 Apr 2008 21:35:13 IST
Posts: 2717
26 Aug 2008 18:30:21 IST
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I hope it is easy and you rate and comment.

Blazing goIITian

Joined: 20 Jul 2008 17:08:14 IST
Posts: 610
26 Aug 2008 18:33:37 IST
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nice idea man !!!!!!!!!!!!!!!!!!!!!!!!!!!!
26 Aug 2008 18:43:20 IST
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yup it is gud one.........:)

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 18:47:00 IST
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nice

Blazing goIITian

Joined: 12 Apr 2008 21:35:13 IST
Posts: 2717
26 Aug 2008 18:49:22 IST
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thanks but are you really understanding it? It is very helpful for fast calculations.

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 18:58:33 IST
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Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 18:59:46 IST
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Blazing goIITian

Joined: 12 Apr 2008 21:35:13 IST
Posts: 2717
26 Aug 2008 19:00:14 IST
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what was that?

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:00:22 IST
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Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:01:47 IST
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i dont know.

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:03:02 IST
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Blazing goIITian

Joined: 12 Apr 2008 21:35:13 IST
Posts: 2717
26 Aug 2008 19:04:30 IST
0 people liked this

May i know why are you giving the log out link ?

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:04:41 IST
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Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:05:08 IST
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Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:06:17 IST
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Blazing goIITian

Joined: 12 Apr 2008 21:35:13 IST
Posts: 2717
26 Aug 2008 19:06:28 IST
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please stop this :(

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:10:20 IST
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Samsung Max

Blazing goIITian

Joined: 31 May 2007 09:32:50 IST
Posts: 520
26 Aug 2008 19:11:00 IST
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sorry i have got a problem

Hot goIITian

Joined: 17 Jan 2008 19:00:40 IST
Posts: 152
26 Aug 2008 21:52:42 IST
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its nice trich dude i learnt it in 10th but forgot thnx 4 bringing it back



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