Question Video: Dividing by 3 Using Models | Nagwa Question Video: Dividing by 3 Using Models | Nagwa

Question Video: Dividing by 3 Using Models Mathematics

Find 18 ÷ 3 using the cubes shown.

02:39

Video Transcript

Find 18 divided by three using the cubes shown.

In this question, we need to practice our skills at dividing by three. And we know that we need to use a model to help us because we’re given a picture of some cubes. And we’re told that we need to find the answer using the cubes shown. Now when you see the calculation 18 divided by three, what do you think of? We could think of it as 18 split into groups of three. And we try to find how many groups. Or we could think of it as 18 shared into three equal groups. And then we’d be trying to find out how many in each group. In the picture, we’re given 18 cubes. And you know, it doesn’t really matter which way we think of 18 divided by three. We can find the answer in both ways. And both ways involve drawing the lines on our model.

Let’s start with the first idea. We could think of this as 18 split into groups of three. And we’re going to count how many groups we can make. Perhaps this is the way you’d think of the division. Well by looking at our cubes, can you see how to split them into groups of three? If we look carefully, we can see some groups of three already. We can see one, two, three, four, five, six groups of three. So if we think of our division like this, we can split 18 into groups of three and see that we can make six groups. But perhaps you thought of the model another way. Perhaps you thought of it as 18 shared into three equal groups. Let’s show the model again. And we’re going to draw our lines in a different way this time.

Can you see how you draw the lines to share 18 into three equal groups? We could do it like this: one group, two groups, three groups. And they’re all the same size. We can see that they all contain one, two, three, four, five, six. So if we start with 18 cubes and we share them into three equal groups, there’ll be six cubes in each group. So it doesn’t really matter how we think of this division. Whether we want to find the number of groups or the number in each group, the answer is still the same. We’ve used a model in two different ways to find the answer to 18 divided by three. And that answer is six.

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