Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them. # 3.6 Multiplying whole numbers and fractions

Created on 21 August 2019 by ncetm_administrator
Updated on 22 August 2019 by ncetm_administrator

## Introduction

Consider multiplication of whole numbers and proper fractions as both repeated addition and scaling. Understand that multiplication of a whole number by a proper fraction results in a smaller number.

## Teaching points

• Teaching point 1: Repeated addition of proper and improper fractions can be expressed as multiplication of a fraction by a whole number.

• Teaching point 2: Repeated addition of a mixed number can be expressed as multiplication of a mixed number by a whole number.

• Teaching point 3: Finding a unit fraction of a quantity can be expressed as a multiplication of a whole number by a fraction.

• Teaching point 4: A non-unit fraction of a quantity can be calculated by first finding a unit fraction of that quantity.

• Teaching point 5: If the size of a non-unit fraction is known, the size of the unit fraction and then the size of the whole can be found.   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