 Divide a 3 digit number by a 1 digit number using area or array model

Lesson

When we need to divide a three digit number, such as $400$400 by a one digit number, such as $8$8, we can use arrays and area models to help us.

We can also start with a simpler problem, such as $40$40 divided by $8$8, (also written as $40\div8$40÷​8) which helps us as well.

Worked examples

Question 1

Let's use an area model to find the answer to $133\div7$133÷​7.

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

 $7$7 Total area: $133$133

Now if we don't know straight away what $133\div7$133÷​7 is, we start with something we do know, like groups of $10$10.

Fill in the area used so far if we take out $10$10 groups of $7$7.

 $10$10 $7$7 $\editable{}$ Total area: $133$133
2. How much area is remaining?

 $10$10 $7$7 $70$70 $\editable{}$ Total area: $133$133
3. What is the width of the second rectangle?

 $10$10 $\editable{}$ $7$7 $70$70 $63$63 Total area: $133$133
4. Using the area model above, what is $133\div7$133÷​7?

Question 2

We want to find $108\div6$108÷​6.

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

 $10$10 $\editable{}$ $6$6 $\editable{}$ $\editable{}$ Total area: $108$108
2. Using the area model above, what is $108\div6$108÷​6?

Question 3

We want to find $138\div6$138÷​6.

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

 $\editable{}$ $\editable{}$ $6$6 $66$66 $72$72 Total area: $138$138
2. Using the area model above, what is $138\div6$138÷​6?

Outcomes

NA3-6

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