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# 2.14 Multiplication: partitioning leading to short multiplication

Created on 01 August 2019 by ncetm_administrator
Updated on 01 August 2019 by ncetm_administrator

## Introduction

Introduce the short multiplication algorithm, using it to multiply two-/three-digit numbers by single-digit numbers; explore regrouping where necessary.

## Teaching points

• Teaching point 1: The distributive law can be applied to multiply any two-digit number by a single-digit number, by partitioning the two-digit number into tens and ones, multiplying the parts by the single-digit number, then adding the partial products.

• Teaching point 2: Any two-digit number can be multiplied by a single-digit number using an algorithm called ‘short multiplication’; the digits of the factors must be aligned correctly; the algorithm is applied working from the least significant digit (on the right) to the most significant digit (on the left); if the product in any column is ten or greater, we must ‘regroup’.

• Teaching point 3: The distributive law can be applied to multiply any three-digit number by a single-digit number, by partitioning the three-digit number into hundreds, tens and ones, multiplying the parts by the single-digit number, then adding the partial products.

• Teaching point 4: Any three-digit number can be multiplied by a single-digit number using the short multiplication algorithm.   Add to your NCETM favourites Remove from your NCETM favourites Add a note on this item Recommend to a friend Comment on this item Send to printer Request a reminder of this item Cancel a reminder of this item

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