Multiplication Strategies

The Ministry is migrating nzmaths content to Tāhurangi.           
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz). 
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024. 
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available. 

For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths

Purpose

These exercises and activities are for students to use independently of the teacher to practice number properties.

Achievement Objectives
NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Specific Learning Outcomes

multiply by one decimal place decimal using compensating
multiply by one decimal place decimal using place value

Description of Mathematics

Multiplication and division, AP (Stage 8)

Required Resource Materials
Practice exercises with answers (PDF or Word)
Activity

Prior knowledge.

Recall multiplication facts
Use the rounding and compensating strategy when multiplying whole numbers
Use the place value strategy to solve problems involving whole numbers

Background

in this activity students who can use place value and compensating with whole numbers learn to use these strategies when multiplying decimals.

Comments on the Exercises

Exercise 1
Asks students to solve a basic fact and then use compensating to solve a multiplication problem involving a one decimal place decimal.  For example, 3 x 5 = 15 so 3 x 4.9 = 14.7, 3 x 4.8 = 14.4, 3 x 5.1 = 15.3, 3 x 5.2 = 15.6

Exercise 2
Asks students to solve multiplication problems involving decimals by using compensating. For example 3 x 6.8 = (3 x 7 = 21) - (3 x 0.2) = 19.4

Exercise 3
Asks students to solve multiplication problems involving decimals by using place value strategies.  For example, 2 x 4.2 = 8.4.

Exercise 4
Asks students to solve multiplication problems involving decimals by using place value strategies but the problems involve adding the tenths to the whole number.  For example, 4 x 3.4 = 12 + 1.6 = 13.6.

Exercise 5
Asks students to solve multiplication problems involving decimals by choosing the most appropriate strategy.

 

 

Add to plan

Log in or register to create plans from your planning space that include this resource.


Level Five