# Multi Digit Multiplication

Multi digit multiplication is quite similar to repeated single digit multiplication. However, sometimes you need to regroup numbers.

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Multiplying a two-digit number by a single digit number:

Example 1:

1. Multiply the ones: 2 x 3 = 6.
Write 6 in the ones place of the answer.

2. Then, multiply the tens: 2 x 4 = 8.
Write 8 in the tens place of the answer.

Example 2:

1. Multiply the ones: 2 x 8 =16.
Regrouping:
16 ones = 10 ones + 6 ones
=   1 ten   + 6 ones.
Now, write 6 in the ones place of the answer and carry1 above tens place.

2. Then, multiply the tens: 2 x 4 = 8.
Add 8 and the carried number.
8 + 1 = 9.
Write 9 in the tens place of the answer.

Multiplying a three -digit number by a single digit number:

Example:

1. Multiply the ones: 4 x 2 = 8.
Write 8 in the ones place of the answer.

2. Multiply the tens: 4 x 0 = 0.
Write 0 in the tens place of the answer.

3. Multiply the hundreds: 4 x 1 = 4
Write 4 in the hundreds place of the answer.

Multiplying 3 numbers:

Example:     3 x 2 x 5 =?

1. Find the product of first two numbers.
3 x 2 = 6

2. Multiply the above product and the third number.
6 x 5 = 30.

So, 3 x 2 x 5 = 30.

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