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Level Five > Number and Algebra

# Multiplication Strategies

Achievement Objectives:

Achievement Objective: NA5-3: Understand operations on fractions, decimals, percentages, and integers.
AO elaboration and other teaching resources

Purpose:

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

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.

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.

AttachmentSize
MultStrategiesTenthsSheet.pdf106.23 KB
MultStrategiesTenthsSheet.doc52 KB