In the previous tutorial on multiplication of any 2-digit number, we learnt how to multiply any 2-digit numbers using criss-cross method of multiplication.

In this tutorial, we will understand a very important mathematical shortcut of multiplying any two 3 digit numbers using the criss-cross multiplication technique.

For students preparing for competitive examination, You might come across, many multiplications in the competitive examinations where you might be asked to multiply two 3-digit number.

If you know criss-cross method, you can save a lot of time by eliminating the choices at the end of each step of criss-cross multiplication.

The number of steps in a 3 x 3 multiplication is 5. Let’s understand the steps with an example.

**Example :** Suppose you want to multiply 132 x 214.

**Step 1 :** Write the numbers one below the other. Multiply the digits in the unit place as in 2×2 multiplication, that is 2×4=2. This will be the unit digit of the answer as well.

**
Step 2 :** Now, cross multiply the digits in the 10’s and unit’s place to get the digit in the 10’s place of the answer.

**
Step 3 :** Now, notice the criss-cross multiplication. Here, we multiply the terms (1×4), (2×2) and (3×1) and then add these terms to get 11.

**
Step 4 :** Now, repeat

**Step 2**with the digits in the 100’s and the 10’s place.

**
Step 5 :** This is the last step in the multiplication. Now, repeat

**Step 1**with the digits in 100’s place.

The complete steps involved in the calculation is illustrated in the figure :

Notice the carry-forward in each step.

On the similar lines, can you multiply,

- 423 x 234
- 124 x 465
- 567 x 890
- 646 x 772

Easy ?

I hope this tutorial is useful. If you have any doubts concerning this tutorial, please leave a comment, I would be glad to help.

There are some misspell….step III and V

Thanks so much Santanu for pointing it out. I have corrected it 🙂

Kiran

Great tutorial…very helpfull : )

There is a miscalculation in step III, the result should be 11 instead of 14

Thank you so much for pointing it out. I am extremely sorry for the inadvertent error though.

I am glad you liked it.

Thanks

Kiran

sir pls solve that multiply numbers 68*73

ur steps are:

1st step:

8*3=27

2nd Step:

(6*3)+(7*8)

18+56=74

3rd Step:

6*7= 42

therefore, 42/74/27

and written off 42/4/7

7 2

then 4987 this anwer is wrong sir .

pls give me detailed soultion ur reply im waited

Hello Ramya,

Here are the steps :

68*73 = 6*7 / (6*3 + 8*7) / 8*3

= 42/74/24

=4964

the vth step should be 2 and not 8.

anyway thanks for such an eloquent explanation.

This is very useful technique , I wished it was taught to me in school