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Level Five > Number and Algebra

# Division with Tenths

Keywords:
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:
Sets of ten connected unilink cubes wrapped in paper
Activity:

#### Using Materials

Students work out 5.2 ÷  4. It is likely that students will give out 1 whole to each share, then convert the 1 whole + 2 tenths that are left over into 12 tenths and share out 3 tenths to each. So 5.2 ÷ 4 = 1.3

#### 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, wholes need to be broken down into tenths, and the answer is to 1 d.p. So 3.2 ÷ 4 = 0.8 is suitable, but 3.4 ÷ 4 = 0.85 is not.

Problems:

5.2 ÷ 2             1.6 ÷4              6 ÷ 4                1.2 ÷ 3

1.2 ÷ 6             7.5 ÷ 5             2.1 ÷ 3             2.1 ÷ 7

14 ÷ 4              3.6 ÷ 6             12 ÷ 8             4.5 ÷ 3

41.2 ÷4            21.6 ÷ 4          22 ÷ 4             19.2÷3

## Introducing Decimal Fraction Place Value

Solve division problems by sharing.

## Sensible Rounding

Round whole numbers and decimals, with up to two places, to the nearest whole number, or tenth.

Use rounding to check the answers to multiplication and division problems.

## Percentage Increases & Decreases in One Step

Estimate and find percentages of whole number and decimal amounts.

## Reverse Percentage Problems

Estimate and find percentages of whole number and decimal amounts.

## Checking Multiplication by Estimation

Round whole numbers and decimals, with up to two places, to the nearest whole number, or tenth.

Use rounding to check the answers to multiplication and division problems.