Squaring numbers using Vedic Maths

Mathematical Podcasts to be used by Teachers, Students and Parents. To consolidate learning, to help with accelerated learning.

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[capitalone1]

what's important is that you have a method that works-so well done

[tekhiun]

for those who wish to understand how this method works:

we have a two digit number [A][B]

and let [A][B] = A*10+B just like 28 = 2*10+8

then expanding (A*10+B)^2 gives

100*A^2 + 10*2*A*B + B^2

so we have a 3 digit number

[A^2][2*A*B][B^2]

note that if the unit digit B^2 is greater than 9

than we take its second digit and add it to the digit to the left [2*A*B]

[capitalone1]

many thanks

[beatityatube]

I'm new to this form and frankly I'm very impressed and astonished at how simple this system is. How much of this do we owe to ancient knowledge and how much to modern maths? No that it matters too much. This beats the pants off the teaching of modern mathematics.

[capitalone1]

this is only a snipit-the amazing aspect is that we have lost so much knowledge from ancient times- i will be posting new vedic materials soon

[riyakku]

The ancients had slokas (a couplet or distich of Sanskrit verse, esp. one with each line containing 16 syllables.) for various mathematical calculations. As it was easy to remember the sloka the students could learn the mathematical operation by memorising them.

[capitalone1]

Thank you- it's sucha shame that we don't have time in teaching to look at these aspects of the evolution of Mathematics-please forward your thoughts

[rejoicecrazyhappy911]

thats a long method!!in 12 raise to 2 add 2 to 12 so you get 12 and then 2 squared is 4 so you get 144!!

[sagar2807]

There is an easier way to calculate the square.

watch?v=0xdxKPgQj3Q

[sagar2807]

Nice one.

[L00KN4BBW]

So true!

[panefuldeath]

The point of this is to do it in your head.

[UglyRats]

i find normal multiplication easier. but it is interesting

[vityav]

I'm not sure polynomial expansion is easier than regular arithmetic, but it's definitely interesting.