Question Video: Solving Word Problems Involving Division and the Remainder Mathematics • 4th Grade

A teacher has 22 pencils that they want to share equally between four children. What is the maximum number of pencils each child will receive (some pens might be left over)?

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Video Transcript

A teacher has 22 pencils that they want to share equally between four children. What is the maximum number of pencils each child will receive? Some pens might be left over.

This problem is all about sharing equally, which means it’s a division problem. The teacher wants to share 22 pencils equally between four children. We have to work out how many pencils each child will receive. We’ve modeled the number 22 using these bricks. Can you think of a way of sharing these pencils equally between four children? That means each group has to contain an equal number of bricks. There we go. We’ve made four groups, and each group contains an equal amount of bricks. Can you see how many bricks are in each group? We’ve made four groups of five, and there are two bricks left over.

If we have 22 pencils and shared them equally between four children, each child will have five pencils and there will be two left over. 22 divided by four equals five remainder two. So the maximum number of pencils each child will receive is five. We can’t share the two that are left over equally between four children. So the most pencils the children can get is five each.

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