Multiplication of Three digit numbers Shortcut Tricks

Multiplication of three digit numbers
Before going to this shortcut process we learned the multiplication of Two digit numbers and Three and Two digit numbers and we applied the shortcut process to obtain the result. Now we apply the same steps adding with new step.



Multiplication of a Three digit numbers
175 x 157 = ?
The result of multiplication of three digit number is 175x157 = 27475.
Step 1: Multiply (5x7) = 35 (note down 5 carry 3).
Step 2: Then do cross multiplication (7x7 + 5x5 + 3 (add carry)) = 77 (note down 7 carry 7).
Step 3: Again (1x7 + 1x5 + 7x5 + 7 (add carry)) = 54 (note down 4 carry 5).
Step 4: do cross multiplication and add carry (1x5 + 1x7 + 5 (add carry)) = 17 (note down 7 carry 1).
Step 5: Again (1x1 + 1) = 2, note it down.
And finally the result we get 27475.



Another Example of Multiplication of a Three digit numbers
275x354 = ?
The result of multiplication of three digit number is 275x354 = 97350.
Step 1: Multiply (4x5) = 20 (note down 0 carry 2).
Step 2: Then do cross multiplication (5x5 + 4x7 + 2 (add carry)) = 55 (note down 5 carry 5).
Step 3: Again (4x2 + 3x5 + 5x7 + 5 (add carry)) = 63 (note down 3 carry 6).
Step 4: Again do cross multiplication and add carry (5x2 + 3x7 + 6) = 37 (note down 7 carry 3).
Step 5: do multiplication of left numbers and add carry  (3x2 + 3) = 9, note it down.
And finally the result we get 97350.



Another Example of Multiplication of a Three digit numbers
395x284 = ?
The result of multiplication of three digit number is 395x284 = 112180.
Step 1: Multiply (4x5) = 20 (note down 0 carry 2).
Step 2: Then do cross multiplication(4x9 + 8x5 + 2 (add carry)) = 78 (note down 8 carry 7).
Step 3: Again (4x3 + 2x5 + 8x9 + 7 (add carry)) = 101 (note down 1 carry 10).
Step 4: Again do cross multiplication and add carry (8x3 + 2x9 + 10) = 52 (note down 2 carry 5).
Step 5: do multiplication of left numbers(2x3 + 5) = 11, note it down.
And finally the result we get 112180.


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1 comment:

Anonymous said...

please solve: minimum value of (x-2)(x-9) with step by step

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