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2

Rounding decimals: how much paint?

Connect Primary 6 Term 1, Unit 2: pp. 26–33
GoalRound decimal numbers to the nearest whole number and estimate an area and cans of paint.
New words
round · to change a number to a nearby simple numbernearest · closestestimate · to find an answer that is close, not exactarea · the size of a flat surfacesquare metre (m²) · a unit for measuring areacan · a metal container, for example for paint
Explanation

To round a decimal to the nearest whole number, look at the number after the decimal point. If it is 0, 1, 2, 3 or 4, we keep the whole number: 3.4 is about 3. If it is 5, 6, 7, 8 or 9, we go up: 3.6 is about 4. Rounding helps us to estimate. The area of a wall is its length times its height. A wall that is 2.9 m high and 4.1 m wide is about 3 m by 4 m. So its area is about 3 × 4 = 12 m². We say about, nearly or around, because it is an estimate. If one can of paint covers 10 m², we need 2 cans, because 12 ÷ 10 = 1.2 and we cannot buy 0.2 of a can.

NumberRoundedWhy
3.434 is less than 5
3.646 is 5 or more
7.585 goes up
2.121 is less than 5
Worked examples
Hassan

The wall is 2.9 metres high and 4.1 metres wide.

Dad

Round the numbers. 2.9 is about 3, and 4.1 is about 4.

Hassan

So the area is about 3 times 4, which is 12 square metres.

Dad

One can covers 10 square metres. How many cans do we need?

Hassan

Two cans, because one can is not enough.

Listen. Hassan and his dad plan to paint the classroom wall at school with other parents.
HeightWidthRoundedArea
2.9 m4.1 m3 m by 4 mabout 12 m²
Look at the estimate. Say: The wall is about 12 square metres.

Rahma wants to paint a small wall in her room. The wall is 1.8 metres high and 3.2 metres wide. She rounds the numbers: 1.8 is about 2, and 3.2 is about 3. Then she multiplies: 2 times 3 is 6. The area is about 6 square metres. One can covers 8 square metres, so one can is enough.

Read and listen to the text.
Now you. Round 5.7, 8.2 and 6.5 to the nearest whole number and tell a grown-up.
Class activity

Estimate the room. With the grown-up, measure a door or a table with a tape or a string and write the length in metres with one decimal. Round it, then estimate the area with a second side. Say: It is about … square metres.

Practice
1
Round 5.7 to the nearest whole number.
2
Round 8.2 to the nearest whole number.
3
A wall is 1.9 m high and 3.1 m wide. Round the numbers and estimate the area in square metres.
HeightWidth
1.9 m3.1 m
4
Look. One can of paint covers 10 square metres. The wall is about 12 square metres. How many cans? Say why.
5
Writing: write one sentence with about to say the area of a wall.