Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Multiplying Decimals by Whole Numbers

Learn to multiply decimals by whole numbers using the whole-number core method: multiply ignoring the decimal point, then count the places back into your answer. Check your work with a rough estimate.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is a shopping question. A shop sells apples at €0.60 each, and you buy 4 of them. Before we work anything out: hands up, do you think you will pay more than €4 or less than €4? Give me a reason for your guess.

    2 - Watch and Notice ~10 mins

    Each display shows the whole-number core as an area model. Watch where the decimal point lands once we put it back in, and count the figures after the point each time.

    3 - Try It Together ~9 mins

    Today we work through these together, building the whole-number core on the area model and then counting the point back in: 6 × 4, then 8 × 7, then 25 × 4. For each one, before we place the point we say the decimal version aloud and predict how many places back we need: 0.6 × 4, then 0.8 × 7, then 0.25 × 4. Watch how the last one surprises us when the point lands.

    Build the core, then place the point

    4 - Write the Core First in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, write each calculation as a whole-number product first, then count and insert the decimal point. Beside each one, note how many decimal places you counted.

    • 0.6 × 4
    • 1.25 × 3
    • 0.045 × 6
    • 3.4 × 12

    5 - Class Challenge ~8 mins

    Key point

    Before we start, let's warm up our estimating: 0.35 × 8 is about 0.5 × 8 = 4, so our first answer should land near 4.

    Now we build our way to a target using decimal multiplication. Work through these in order, each a little trickier than the last: 0.35 × 8, then 2.04 × 7, and finally 1.6 × 9. Before each one we estimate roughly what it should be, so we know where the point belongs. If you finish early, there is a stretch: 1.25 × 6.

    Reach the decimal target

    Pupil practice
    Module 2 · Operations and Computational Fluency Number
    Lesson 17 · Multiplying Decimals by Whole Numbers
    Download Activity Book page (PDF)
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