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The magic of Vedic math - Gaurav Tekriwal

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Nameste.
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I'm from India,
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and India is one of the oldest civilizations in the world.
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It has contributed to the world
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concepts such as yoga,
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ayurveda,
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spicy chicken tikka,
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and Vedic math.
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Vedic math is one of the world's easiest
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and simplest way to do math.
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We are going to combine together
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and do some number crunching today.
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So what we are going to first do is multiply by 11.
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We're going to do it together,
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so if you blink, you're going to miss it.
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So just watch it, OK.
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So we're going to do 32 times 11, OK.
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So we split 3, and we split 2,
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and we add 3 and 2 and paste it on top,
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and we get the answer as 352.
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That's it.
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Let's try another sum.
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45 times 11.
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Let's hear it.
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Exactly, that's 495.
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And 75 times 11.
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So it gives you 7,125,
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1 gets carried over and it becomes 825.
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That's how simple it is.
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OK, this is the principle behind it
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where a is the coefficient.
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Let's move on.
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OK, now what we're going to do is the base method.
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OK, this is used to multiply numbers
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very close to the powers of 10,
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like 10, 100, 1,000, and so on.
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So we have a sum here, say 99 times 97.
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OK, now tell me, is 99 more than 100 or less than 100?
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Less by how much?
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So we write minus 01.
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And 97 is less than 100 by how much?
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So we write minus 03.
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So what we're going to do is
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we're going to cross subtract
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and get the first part of the answer, like this.
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We're going to do cross subtraction.
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97 minus 01 would give us
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96.
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and we multiply 03 times 01 vertically,
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and we get an answer of 03.
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