Multiplication - partition method

In this method the smaller number is partitioned (broken down into tens and units).

Example

Use the partition method to work out $${352}\times{27}$$.

Method 1

$${27}$$ is broken down into $${20}$$ and $${7}$$.

Method 2

$${27}$$ is broken down into $${10}$$, $${10}$$ and $${7}$$.

The method of partitioning into tens, simplifies the multiplication further because to multiply successively by $${10}$$ is to simply move the digits one place to the left.