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.
Let's use an area model to find the answer to $$8024÷8.
We set up the area model using a rectangle like this.
$$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: $$8024 |
How much area is remaining?
$$1000 | ||
$$8 | $$8000 | $$ |
Total area: $$8024 |
What is the width of the second rectangle?
$$1000 | $$ | |
$$8 | $$8000 | $$24 |
Total area: $$8024 |
Using the area model above, what is $$8024÷8?
We want to find $$8104÷8.
Fill in the boxes to complete the area model.
$$1000 | $$10 | $$ | |
$$8 | $$ | $$ | $$ |
Total area: $$8104 |
Using the area model above, what is $$8104÷8?
We want to find $$4045÷5.
Fill in the widths of the rectangles on the area model.
$$ | $$ | |
$$5 | $$4000 | $$45 |
Total area: $$4045 |
Using the area model above, what is $$4045÷5?