Video: Solving Word Problems Using the Distibutive Property of Multiplication

The average attendance per game during a season of baseball was about 65000 people. Use the distributive property to find the total attendance over 7 games at that rate.

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Video Transcript

The average attendance per game during a season of baseball was about 65000 people. Use the distributive property to find the total attendance over seven games at that rate.

So if we have seven games and 65000 people attend each game, the number we’re looking for is seven times 65000. Now this question is specifically asking us to use the distributive property of multiplication to help us to find this answer. And 60000 plus 5000 is 65000. So seven times 65000 is the same as seven times 60000 plus 5000. And I can distribute that seven across the parentheses like this, which gives us seven times 60000 plus seven times 5000.

Well, seven times six is 42. But remember we still got to multiply it by 10000. So that’s 42 with four more zeros after it. And seven times five is 35. But remember we still got to multiply it by 10 three times and multiply it by a thousand. So we’ve got to put three more zeros after that. So I’ve got 420000 plus 35000.

And if we write those numbers out in columns, it’s easier to do the calculation, so adding 420000 to 35000. Zero and zero is zero. Zero and zero is zero. Zero and zero is zero. Zero and five is five. Two and three is five. And we’ve got four. So the answer is 455000. And the units are people. Remember it’s 455000 people that are attending.

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