Video: Writing Equations Representing Multiplication Word Problems with a Symbol for the Unknown

32 children need to split themselves into 8 groups to play a game. Natalie drew this model to help them do that. Which of the following equations matches the model? [A] 32 − 8 = _ [B] 32 + 8 = _ [C] 8 × _ = 32 [D] 8 × 32 = _. How many children will be in each group?

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Video Transcript

32 children need to split themselves into eight groups to play a game. Natalie drew this model to help them do that. Which of the following equations matches the model? 32 take away eight equals something. 32 plus eight equals something. Eight multiplied by something equals 32. Or eight times 32 equals something. And then, how many children will be in each group?

We’re told that Natalie draws a model to help a group of children split into groups. We’re told that there are 32 children altogether. And that’s why Natalie’s model shows 32 as the whole amount. And this whole amount is split into eight because we’re told that the children split themselves into eight groups.

And so, each of the parts to Natalie’s model represents one of the groups. There are eight lots of something that make 32. Which of the equations shows this? We’ve already said that we have eight lots of something. And so, the correct equation is eight multiplied by something equals 32.

How many children will be in each group? Well, to find the missing number in eight multiplied by something equals 32, we can work backwards. What do we multiply eight by to get 32?

Eight multiplied by one is eight. Eight times two is 16. Eight times three is 24. And eight times four is 32. So, our missing number in the calculation is four. And Natalie can complete her model with four in each section. Because there will be four children in each group.

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