Multiplication with Tenths

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Achievement Objectives
NA4-1: Use a range of multiplicative strategies when operating on whole numbers.
NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Specific Learning Outcomes

Solve multiplication and division problems by using place value.

Solve multiplication and division problems that involve decimals.

Description of Mathematics

Number Framework Stages 7 and 8.

Required Resource Materials
Unilink cubes

Sets of ten connected unilink cunes wrapped in paper

Activity

Using Materials

Students work out 3 x 1.4. It is likely that students will group the 3 wholes. Then they group the 12 tenths into 1 whole + 2 tenths.

So 3 x 1.4 = 4.2

Using Materials, Using Imaging, and Using Number Properties

The teacher can select problems from the set below for any stage. When teachers make up their own examples, after grouping the tenths there needs normally to be at least 10 tenths. So 2 x 4.7 is suitable, but 4 x 3.2 is not.

Problems:

3 x 1.5             2 x 1.7                      5 x 1.2                         4 x 0.4

2 x 2.8             3 x 2.5                      6 x 0.5                         5 x 2.4

5 x 4.2             2 x 6.6                      3 x 4.5                        8 x 0.4

6 x 0.5             2 x 10.8                     3 x 9.5                         5 x 6.4

2 x 6.6             x 4.5                         5 x 10.2                       10 x 0.4

 

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Level Four
Level Five