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

Subtracting Decimals

Learn to subtract decimals to thousandths using the column method, with regrouping. Line up decimal points, add trailing zeros, and decompose units when the top digit is too small.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Today's problem

    Today's problem: 4.51.75. You already know how to line up the decimal points when adding. Does subtracting need anything different, or does the same rule still work?

    Thumbs up if you think the same rule still works; thumbs sideways if you think we need a new rule. Then three hands up for the reasoning.

    2 - Watch and Notice ~11 mins

    Watch as we work four decimal subtractions on the column-subtraction tool. Notice how the same line-up-the-points rule you already know from adding decimals still holds, but instead of carrying we now decompose — we break a unit down into ten of the smaller place value next to it.

    Example 1: 4.51.75 = 2.75

    The 4.5 becomes 4.50 so the hundredths column has something to subtract from. Then we regroup one tenth into ten hundredths to take 5 away.

    Example 2: 0.60.27 = 0.33

    A lonely tenth on top. The trailing zero on 0.60 makes the hundredths column visible — then we regroup just like before.

    Example 3: 1.00.85 = 0.15 (the chain)

    The whole one breaks down in a chain. It splits into ten tenths, one of which then splits into ten hundredths.

    Example 4: 5.0050.999 = 4.006

    Thousandths now. The same chain reaches one column further to the right — every column needs to regroup.

    3 - Try It Together ~11 mins

    Now let's work the same kind of subtraction together. Today we try: 3.21.45. We enter the top number and the bottom number on the column-subtraction tool, then we step through each column from the right — the smallest place first, regrouping when the top digit is too small.

    Tip

    Three pupils take turns at the board. The rest of us watch each column land and think what the next digit will be before it appears.

    Try it: 3.2 − 1.45

    4 - Set up Your Subtractions ~8 mins

    COPYBOOK MOMENT

    Illustration for Set Up Your SubtractionsIn your maths copy, set up each of these decimal subtractions vertically with the decimal points lined up in a single column. Work each column from the right, regrouping when the top digit is too small. Circle every regroup mark so you can see where the decomposition happened.

    • 4.51.75
    • 0.60.27
    • 1.00.85
    • 5.0050.999

    5 - Class Challenge ~11 mins

    Today's bank: five decimal subtractions of escalating trickiness. Pupils take turns at the board to solve each one on the column-subtraction tool.

    Tip

    The rest of the class watches each column and works out the next digit before it lands on the board.

    Decimal subtraction: bank of five

    Pupil practice
    Module 2 · Operations and Computational Fluency Number
    Lesson 21 · Subtracting Decimals
    Download Activity Book page (PDF)
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