# Long multiplication method Examples & printable worksheets

## How to use Long multiplication to solve multiplication expression?

Long method multiplication is also a partial products method without boxes. You expand the numbers in …/thousands/hundreds/tens/ones as in a grid or box method and multiply each part to get the partial products then you add them for the final answer.

### Example: Use long multiplication to multiply 23 x 45

In the section Long multiplication method examples & printable worksheets, we’ll first begin with this 2-digit numbers multiplication.

#### Step 1

Split up the two numbers by writing each as sums of tens and ones. That is,
For the number 23 you get 20 + 3
45 gives 40 + 5

#### Step 2

Then write partial products of both tens and ones multiplying each other as follow:

20 x 40 = 800

20 x 5 = 100

3 x 40 = 120

3 x 5 = 15

#### Step 3

You need to write the sum of all partial products to find the answer of 23 x 45 multiplication expression.

You get,

800 + 100 + 120 + 15 = 1035

So the result of

23 x 45 = 1035