Video: Interpreting the Numbers in Division Expressions

Daniel had 28 stickers to share among his friends. He found the number of stickers to give to each friend by solving 28 ÷ 7. How many friends did he give stickers to? How many stickers did each friend get?

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Video Transcript

Daniel had 28 stickers to share among his friends. He found the number of stickers to give to each friend by solving 28 divided by seven. How many friends did he give stickers to, and how many stickers did each friend get?

The problem starts by showing us the number of stickers that Daniel has to begin with. And we know that he shares them equally amongst his friends. But how many friends are there? Well thankfully we get another clue later on in the problem, where we’re told the calculation that Daniel uses to find out how many stickers to give to his friends. This is a very big clue to us as to how many friends there are.

So let’s have a look at that to start with. What does the calculation 28 divided by seven look like? One way we can show it is as a bar model with 28 as the whole and then seven equal parts. 28 split into seven equal parts is the same as Daniel having 28 stickers and sharing them between seven friends. But how many stickers did each friend get? To find the answer, we need to solve a calculation the same way that Daniel did.

How many sevens are in 28? One way to find the answer is to use our knowledge of multiplication facts to help. Perhaps we know already how many sevens are in 28. But in case we don’t, we could use other facts to help us. Two multiplied by seven equals 14. We can see that double 14 equals 28. And so to make 28, we need double the number of sevens too.

Four multiplied by seven equals 28. Of course if we know there are four sevens in 28, we also know there are seven fours in 28 too. So we can complete the bar model to show the each part equals four. And so the number of stickers to each friend got was four because Daniel worked out 28 divided by seven equals four.

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