Multiplication and Division

NZ Level 3

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

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.

Let's use an area model to find the answer to $8024\div8$8024÷8.

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

$8$8 Total area: $8024$8024 Now if we don't know straight away what $8024\div8$8024÷8 is, we start with something we do know, like groups of $1000$1000.

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

$1000$1000 $8$8 $\editable{}$ Total area: $8024$8024 How much area is remaining?

$1000$1000 $8$8 $8000$8000 $\editable{}$ Total area: $8024$8024 What is the width of the second rectangle?

$1000$1000 $\editable{}$ $8$8 $8000$8000 $24$24 Total area: $8024$8024 Using the area model above, what is $8024\div8$8024÷8?

We want to find $8104\div8$8104÷8.

Fill in the boxes to complete the area model.

$1000$1000 $10$10 $\editable{}$ $8$8 $\editable{}$ $\editable{}$ $\editable{}$ Total area: $8104$8104 Using the area model above, what is $8104\div8$8104÷8?

We want to find $4045\div5$4045÷5.

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

$\editable{}$ $\editable{}$ $5$5 $4000$4000 $45$45 Total area: $4045$4045 Using the area model above, what is $4045\div5$4045÷5?

Record and interpret additive and simple multiplicative strategies, using words, diagrams, and symbols, with an understanding of equality