Faster Multiplication
Friends! This segment will help us in fast multiplying N digit number by an another N digit number.
The name of the method is VERTICAL AND CROSSWISE METHOD.
First! We will start with Multiplication of two Digit number by an another two digit number.
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.
Lets take for example
13 X 42
Now we will follow that animation and multiply 13 x 42. Step 1 - First multiply 3 X 2, i.e. 6.
13 42 6
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
Step 3 - Multiply 1 X 4 = 4 and 1 we have previous carry, so the total became 5.
13 42 546
So, our final answer is 546.
3 Digits X 3 Digits Multiplication
Friends! First have a look on Animation of a 3 digit X 3 digit multiplication.
Lets take for example
253 X 742
Now we will follow that animation and multiply 253 x 742. Step 1 - First multiply 3 X 2, i.e. 6.
253 742 6
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
Step 3 - Now multiply 2 X 2, 3 X 7 and 5 X 4. So, that give us 4 +21+20 = 45. Beside this, we have 2 as previous carry, so the total became 47.
253 742 4726
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
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
So, our final answer is 187726.
Now friends! Similarly the figure for multiplication of 4 Digit X 4 Digit Number will be like this :-
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 (2XN)–1 where N is Number of digits.
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