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.