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# Short Trick for Multiplication with the Multiples of 11 i.e. 22, 33, 44, 55, 66, 77,...

Short Trick to Multiply any Number by 11.

Let us understand how it works by multiplying 63852 X 11

Step 1: Keep the unit digit of 63852 as same i.e. 2

Step 2: Add the corresponding number together i.e. 2 + 5 = 7 and place the number obtained in step 1 to left of it i.e. 72

Step 3: Add the corresponding number together i.e. 5 + 8 = 13 and place 3 to the number obtained in step 2 to left of it i.e. 372 and keep the carry 1 to be added in the next step.

Step 4: Add the corresponding number together i.e. 8 + 3 = 11 and add to it carry 1 from previous step i.e. 11 + 1 = 12, place 2 to the number obtained in step 3 to left of it i.e. 2372 and keep the carry 1 to be added in the next step.

Step 5: Add the corresponding number together i.e. 3 + 6 = 9 and add to it carry 1 from previous step i.e. 9 + 1 = 10, place 0 to the number obtained in step 4 to left of it i.e. 02372 and keep the carry 1 to be added in the next step.

Step 6: Keep the first digit i.e. 6 as it is and add the carry to it from the previous step i.e. 6 + 1 = 7 4 to left of it i.e. 702372

So, 63852 X 11 = 702372 (Answer)

### Tricks to Multiply any Number by multiples of 22

Let us understand how it works by multiplying 63852 X 22

Repeat all the 6 steps done for 11 with an additional step of multiplying it with 2

Step 7: Multiply the number obtained by multiplying with 11 with 2 as 22 = 11 X 2

702372 X 2 = 1404744

### Tricks to Multiply any number by multiples of 33

Let us understand how it works by multiplying 63852 X 33

Repeat all the 6 steps done for 11 with an additional step of multiplying it with 6

Step 7: Multiply the number obtained by multiplying with 11 with 6 as 66 = 11 X 6

702372 X 6 = 4214232 (Answer)

This method holds True for All Multiples of 11
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