About cookies

The NCETM site uses cookies. Read more about our privacy policy

Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them.

 

Personal Learning Login






Sign Up | Forgotten password?
 
Register with the NCETM

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.
     

 
 

Comment on this item  
 
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

Comments

 


There are no comments for this item yet...
Only registered users may comment. Log in to comment