# The long multiplication method. A step by step guide with worked examples (TU X TU)

Here I will show you how to multiply a 2 digit number by a 2 digit number using the long multiplication method. Before you start, make sure you can do the short multiplication method. Start by writing the largest number at the top and the smaller number underneath. Also, you will need 3 answer lines and take care lining up the digits in the correct columns. Another good idea is to put a zero at the end of the second answer line before you carry out the multiplication. One of the most common mistakes when carrying out long multiplication is forgetting the zero on the second line.

**Example 1**

Work out 53 × 26.

First of all you need to work out 53 × 6.

This gives **318**,
so write this down on the first answer line.

Next put a zero at the end of the second answer line (in the unit column) and work out 53 × 2.

This gives you **106**,
so put this number on the second answer line, just to the left of the zero.

Finally, you can write your answer on the third answer line by adding together the first 2 answer lines.

Your final answer should be 1378.

**Example 2**

Work out 87 × 46

Just like example 1, first of all you need to work out 87 × 6.

This gives **522**,
so write this down on the first answer line.

Next put a zero at the end of the second answer line (in the unit column) and work out 87 × 4.

This gives you **348**,
so put this number on the second answer line, just to the left of the zero.

Finally, you can write your answer on the third answer line by adding together the first 2 answer lines.

Your final answer should be 4002.

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