Here 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.
Take three hands-up answers, not open call-outs. Give five seconds of quiet think-time first. You are fishing for the idea that multiplying by 4 grows the value but each apple is well under a euro, so the total stays small. Do not resolve it yet — the reveal belongs in the next step.
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.
Same move every time: multiply the whole-number core, then count the decimal places back in.
0.6 × 4: core 6 × 4 = 24, one figure after the point so one place back, gives 2.4. Tie to tenths: six tenths four times is twenty-four tenths, i.e. 2.4. Read as two euro forty, less than €4.
1.25 × 3: estimate first, about 1 × 3 = 3. Core 125 × 3 = 375. Pause on how many places back before revealing 3.75; let the class call it and check it sits near 3.
Before the next one, ask the whole class how many figures come after the point in 0.045, take two hands-up.
0.045 × 6: the trap. Core 45 × 6 = 270, three places back. Walk it through the columns: 270 to 27.0 to 2.70 to 0.270, tidy to 0.27. Point at the front 0 as it appears; it holds the units place because we ran out of digits.
3.4 × 12: core 34 × 12 = 408, one place back, gives 40.8. Ask why this answer is much bigger than the others (whole-number part greater than one).
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.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
The grid opens on the first core, 6 × 4. Re-set the two factors on the grid for each of the three named cores in order. Each time, get the whole-number product first, then ask the class to predict the place-count before anyone touches the point.
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.
Walk the room glancing at the place-count note beside each answer — this is whole-class copybook practice, not marking. Watch for the 0.045 × 6 line, where pupils forget the leading zero.
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.
These are the practice questions — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
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