MATHBONE JOURNAL

Why does 7.5 bottles mean you need 8?

Calculate capacity with decimals, then interpret the result as a whole number of bottles.

Illustrative image: A child and parent comparing water volumes
Illustrative learning scene

Primary

Define one whole unit

Represent one unit with a strip divided into ten equal parts. Each part is 0.1, so three parts represent 0.3.

Compare using the same unit

Compare 0.5 and 0.35 using equal wholes split into hundredths. Fifty hundredths is greater than thirty-five hundredths.

Check meaning before calculating

Choose a measurement or capacity example and ask what part of the unit each decimal represents. Always include units.

For the extension: each bottle holds 0.20 L. The 1.5 L total needs 7 portions of 0.20 L and a final portion of 0.10 L.
Connect the picture with the reasoning

For the extension: each bottle holds 0.20 L. The 1.5 L total needs 7 portions of 0.20 L and a final portion of 0.10 L.

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Upper primary · Decimals and units

Try a more challenging problem

How many 0.25 L bottles hold 1.5 L? If each bottle leaves 0.05 L empty, how many bottles are needed?

Show the worked solution

Full bottles give 1.5 ÷ 0.25 = 6 bottles. Leaving 0.05 L empty means each holds 0.20 L. Then 1.5 ÷ 0.20 = 7.5, requiring at least 8 bottles, with the last partly filled.

Watch this step

The number of bottles available must be a whole number. Interpret 7.5 in context.

Keep exploring together

Choose activities that match the learner’s knowledge and readiness, and discuss what you notice. Explore the curriculum or parent guide below.

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