Mathematics
Intermediate
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Operations with Money in Decimal Form

Learn to add, subtract, multiply and divide money amounts by treating euros and cent as decimals to two places, keeping decimal points aligned and trailing zeros in place.

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    1 - Getting Started ~4 mins

    CORNER SHOP
    Sandwich€5.00
    Juice€7.5
    TOTAL€12.50

    Illustration for Getting StartedHere is the receipt. The total is €12.50. Look at the price printed for the juice: €7.5. Is that written correctly for money? What is missing?

    2 - Watch and Notice ~10 mins

    Watch three money ideas build in the coin tray, one at a time.

    A zero that holds a place. In €7.50, the zero in the one-cent column keeps the 5 in the ten-cent place. Read it aloud.

    Adding money. Here are the two amounts we will add: €12.50 and €8.75.

    Now the total, €21.25. Watch what happens when a cent column goes past nine and we carry into the next column.

    Sharing money. We split €27.60 equally among three, sharing the euros first, then the cent, to reach €9.20 each.

    3 - Try It Together ~11 mins

    Today we build and combine money on the tray, one task at a time. Say each cent column aloud before we check it.

    • First, build €3.05. Watch the zero holding the ten-cent column.
    • Next, build €3.25, then work out four lots of it altogether.
    • Last, build €20.00 and count up from €13.45 to find the change.

    Build and combine money amounts

    4 - Set It Out in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Set It Out in Your CopyFirst we set two sums out together on the board so you can see how money is written in columns. Watch €12.50 + €8.75 with the decimal points one under the other, then worked down each column from the right. Next watch €27.60 ÷ 3 set out the same way: point under point, short division across the euros then the cent, and the answer written as €9.20. After that, set out each calculation below in your maths copy the same way. Write every answer in standard €X.XX form and circle the cent digits on every answer.

    • €12.50 + €8.75
    • €3.25 × 4
    • €20.00€13.45
    • €27.60 ÷ 3

    5 - Class Challenge ~8 mins

    Now we solve real shopping problems together at the board. There are three core problems, each one a step further. First we total a small shopping list. Then we find change from a note. Then we split a bill fairly among three. If time allows, the strongest pupils reach an extension: work out the change from €20 after buying three items at €4.95 each.

    Solve everyday euro problems by adding, sharing and finding change, keeping the decimal points aligned and the cent column correct.

    1. A sandwich is €4.55 and a juice is €1.20. What is the total?
    2. A lunch deal costs €6.40 and you pay with a €10 note. How much change?
    3. Three friends share a bill of €27.60 equally. How much does each pay?
    4. Extension: You buy three items at €4.95 each. How much change do you get from €20?

    Ways to start:

    • Add the two prices by lining up the points: €4.55 + €1.20.
    • To find change from €10 for a €6.40 deal, count up from €6.40 to €10.00.
    • To share €27.60 among three, divide the euros and then the cent.

    Stretch:

    • Extension: for three items at €4.95, multiply first (€4.95 × 3), then subtract from €20.00 to find the change.
    Answers & strategies (teacher)
    1. A sandwich is €4.55 and a juice is €1.20. What is the total? — €5.75
    2. A lunch deal costs €6.40 and you pay with a €10 note. How much change? — €3.60
    3. Three friends share a bill of €27.60 equally. How much does each pay? — €9.20
    4. Extension: You buy three items at €4.95 each. How much change do you get from €20? — €5.15
    • Align decimal points for the addition; count up (or subtract) for the change from €10; divide euros then cent for the fair share; for the extension, multiply then subtract from €20.00.
    Pupil practice
    Module 6 · Time and Money Shape & Space
    Lesson 65 · Operations with Money in Decimal Form
    Download Activity Book page (PDF)
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