Video: Converting Words to an Algebraic Expression in a Word Problem

A father split some money ๐‘š equally between his three sons. Write an expression for the amount of money received by each son.

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Video Transcript

A father split some money ๐‘š equally between his three sons. Write an expression for the amount of money received by each son.

๐‘š is the amount of money the fatherโ€™s going to give, and then he is splitting the money between three sons. What would be a math word maybe we could use for the term split? What is an operation that we could use here?

What if we said the father divided some money ๐‘š equally between his three sons? Then it becomes a little bit more clear what we should do here. He took his money ๐‘š; he split it or divided it equally among his three sons, so we say ๐‘š divided by three.

This would be a valid expression for the amount of money received by each son. We can also write the amount of money received by each son as a fraction, ๐‘š over three, because ๐‘š over three is the same value as ๐‘š divided by three. We can say that each son received ๐‘š divided by three dollars.

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