Vedic math

In the last article we learned the vertical and crosswise method for two digits. Today we look at the same method for three-digit numbers.

Published: 18th October 2013 02:58 PM  |   Last Updated: 18th October 2013 02:58 PM   |  A+A-

Kumudha-krishnan

3 Digits

In the last article we learned the vertical and crosswise method for two digits. Today we look at the same method for three-digit numbers. It may seem difficult in the beginning but with practice we can master it.

Let us see the steps involved in a diagrammatic form.

Step 1: Multiply the units digits vertically.

Step 2: Multiply the units and the tens digits crosswise and add them.

Step 3: Multiply the three digits as shown in the figure and add them.

Step 4: Multiply the tens and the hundreds digits crosswise and add them.

Step 5: Multiply the hundreds digits vertically.

Example 1:

123 x 112

Step 1: Multiply the units digits vertically

3 x 2 = 6

Step 2: Multiply the units and the tens digits crosswise and add

(2 x 2) + (1 x 3) = 7

Step 3: Multiply the three digits as shown in the figure and add

(1 x 2) + (3 x 1) + (2 x 1) = 7

Step 4: Multiply the tens and the hundreds digits crosswise and add

(1 x 1) + (2 x 1) = 3

Step 5: Multiply the hundreds digits vertically

1 x 1 = 1

Answer: 13776

Example 2: 145 x 213

Step 1: Multiply the units digits vertically

5 x 3 = 15

Step 2: Multiply the units and the tens digits crosswise and add

(4 x 3) + (5 x 1) = 17

Step 3: Multiply the three digits as shown in the figure and add

(1 x 3) + (5 x 2) + (4 x 1) = 17

Step 4: Multiply the tens and the hundreds digits crosswise and add

(1 x 1) + (4 x 2) = 9

Step 5: Multiply the hundreds digits vertically

1 x 2 = 2

(For every double-digit number put down the right hand digit in the answer and carry the other over)

Answer: 30885

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