Criss-Cross System Of Multiplication

If You Think that you can perform Multiplication little faster then this trick prove you fail.

This Trick is known as criss-cross method.

The Urdhva-Tiryak Sutra (the Criss-Cross system) is by far the most popular system of squaring

numbers amongst practitioners of Vedic Mathematics. The reason for its popularity is that it can be

used for any type of numbers.

Ex.23×12

We multiply the digits in the ones place, that is, 3 × 2 = 6. We write 6 in the ones place of the answer.

Now, we cross multiply and add the products, that is, (2 × 2) + (3 × 1) = 7. We write the 7 in the tens place of the answer.

Now we multiply the ones digits, that is, 2 × 1 = 2.

The completed multiplication is:

Let us notate the three steps involved in multiplying a 2-digit number by a 2-digit number.

Let us have a look at the multiplication process involved in multiplying a three-digit number by another three-digit number.

The following are the steps involved in multiplying 4-digit numbers:

Example: 2104 multiplied by 3072

STEP-WISE ANSWERS

(a) (4 × 2) = 8

(b) (7 × 4) + (0 × 2) = 28 (2 carry-over)

(c) (0 × 4) + (0 × 7) + (1 × 2) + (2 carried)=4

(d) (3 × 4) + (0 × 0) + (7 × 1) + (2 × 2) = 23 (2 carry over)

(e) (3 × 0) + (0 × 1) + (7 × 2) + (2 carried) = 16 (1 carry over)

(f) (2 × 0) + (3 × 1) + (1 carried) = 4

(g) (2 × 3) = 6

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