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Number (multiplication/division)
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United KingdomEngland
KeyStage 2 Upper

Divide a 4 digit number by a 1 digit number using area or array model

Lesson
Practice
Lesson

When we need to divide a four digit number, such as 4000 by a one digit number, such as 8, we can use arrays and area models to help us.   We can also start with a simpler problem, such as 40 divided by 8, and then think about how this helps us with our final answer.

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Worked examples

Question 1

Let's use an area model to find the answer to $$8024÷​8.

  1. We set up the area model using a rectangle like this.

    $$8
    Total area: $$8024

    Now if we don't know straight away what $$8024÷​8 is, we start with something we do know, like groups of $$1000.

    Fill in the area used so far if we take out $$1000 groups of $$8.

    $$1000
    $$8 $$
    Total area: $$8024

  2. How much area is remaining?

    $$1000
    $$8 $$8000 $$
    Total area: $$8024

  3. What is the width of the second rectangle?

      $$1000 $$
    $$8 $$8000 $$24
      Total area: $$8024

  4. Using the area model above, what is $$8024÷​8?

Question 2

We want to find $$8104÷​8.

  1. Fill in the boxes to complete the area model.

      $$1000 $$10 $$
    $$8 $$ $$ $$
      Total area: $$8104

  2. Using the area model above, what is $$8104÷​8?

Question 3

We want to find $$4045÷​5.

  1. Fill in the widths of the rectangles on the area model.

    $$ $$
    $$5 $$4000 $$45
    Total area: $$4045

  2. Using the area model above, what is $$4045÷​5?

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