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}.

Multiplication diagram - Partition method: 352 x 27 = 9,504

Method 2

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

Multiplication diagram - Partition method: 352 x 27 = 9,504

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.