Mathematics
Intermediate
50 mins
Teacher/Student led
+90 XP
What you need:
IWB/Projector/Large Screen

Written Subtraction of 4-digit Numbers

Learn to subtract four-digit numbers using renaming (decomposition), including how to rename across zeros. Use addition to check your answers.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedA club had €2,450 in its account and spent €1,380 on new jerseys. We won't work it out yet — just roughly, about how much do you think is left over?

    And where in this sum do you think we might have to rename a column before we can take away?

    2 - Watch and Notice ~9 mins

    You already know how to rename with three-digit numbers. A fourth column changes nothing: work from the right, and when a column is too small, rename one from the column on its left. The interactive works three subtractions with the borrows marked. Predict each answer before we check it.

    3 - Prove It by Adding Back ~3 mins

    How can we be sure a subtraction is right? We add our answer back to the smaller number. If it gives us the larger number we started with, we know we were right.

    Let's check the last one: 5,0002,648 = 2,352. So we add 2,352 + 2,648. If it comes to 5,000, our subtraction was correct. We set the addition out in columns on the whiteboard together: 2,352 + 2,648 — units make 10, tens carry, hundreds carry — all the way back to 5,000.

    4 - Try It Together ~11 mins

    This is a watch-the-board round — pupils take turns working each sum while the rest of the class predicts and checks along. We'll work these one at a time: 4,5621,238, then 3,4061,572, then 6,3002,145, and finally 7,0003,486. We'll say each rename aloud before we check it, and watch the zeros in the last two carefully.

    Work these on the board

    5 - Build Alongside in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, set out these two subtractions in columns, one under the other, and rename where you need to:

    • 4,2531,678
    • 5,0022,347

    When you have each answer, check it by adding your answer back to the smaller number — it should give you the larger number you started with.

    Pupil practice
    Module 2 · The Four Operations: Mental and Written Number
    Lesson 19 · Written Subtraction of 4-digit Numbers
    Download Activity Book page (PDF)
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