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Faster Multiplication
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Friends! This segment will help us in fast
multiplying N digit number by an another N digit
number.
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The name of the method is VERTICAL AND CROSSWISE
METHOD.
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First! We will start with Multiplication
of two Digit number by an another two digit
number.
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• Before going to calculation, I would like to
  share an Animation that will help you in
  multiplying a two digit by an another two digit
  number.

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(No Transcript)
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Lets take for example

• 13
• 42

X
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Now we will follow that animation and multiply 13
x 42.Step 1 - First multiply 3 X 2, i.e. 6.

• 13
• 42
• 6

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Step 2 - Multiply 1 X 2 and 3 X 4. Add the sum
i.e., 2 12 14. So write down 4 with carry 1.

• 13
• 42
• 14 6

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Step 3 - Multiply 1 X 4 4 and 1 we have
previous carry, so the total became 5.

• 13
• 42
• 546

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So, our final answer is 546.
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3 Digits X 3 Digits Multiplication
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Friends! First have a look on Animation of a 3
digit X 3 digit multiplication.
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(No Transcript)
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Lets take for example

• 253
• 742

X
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Now we will follow that animation and multiply
253 x 742.Step 1 - First multiply 3 X 2, i.e.
6.

• 253
• 742
• 6

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Step 2 - Now multiply 2 X 5 and 4 X 3 and add
the sum. So 10 12 22. Now write down 2 with
carry 2.

• 253
• 742
• 226

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Step 3 - Now multiply 2 X 2, 3 X 7 and 5 X 4. So,
that give us 4 2120 45. Beside this, we have
2 as previous carry, so the total became 47.

• 253
• 742
• 4726

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Step 4 Now take last two digits of the problem.
Multiply 2 X 4 and 5 X 7 and add the sum up. That
give us 43. And, 4 we have previous carry so
total became 43 4 47.

• 253
• 742
• 47726

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Step 5 Finally, we take the last figure of the
problem. Simply multiply 2 X 7 14. And we have
4 as previous carry, so the total became 18.

• 253
• 742
• 187726

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So, our final answer is 187726.
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Now friends! Similarly the figure for
multiplication of 4 Digit X 4 Digit Number will
be like this -
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(No Transcript)
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Now you can easily drive the figure for
multiplication of N Digit X N Digit number.The
formula for driving the number of steps is ( 2
X N ) 1where N is Number of digits.
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