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Video: Converting Lengths from Feet to Inches and Yards

Tim Burnham

If Howard threw his javelin 102 feet during practice. Determine, in inches and yards, how far he threw his javelin.

02:30

Video Transcript

If Howard threw his javelin one hundred and two feet during practice, determine in inches and yards how far he threw it.

First, let’s think about feet, well not feet but the unit of measurement called feet. The distance that we call one foot can be split up into twelve equal parts, and each of those parts is called an inch. So twelve inches is the same length as one foot.

And if we line up three feet end to end, we call that distance one yard. So now we have all the information we need to go ahead and answer the question.

So if one foot is twelve inches, then a hundred and two feet is a hundred and two times as much as one foot. And that means we’re gonna have a hundred and two times as many inches as well. So a hundred and two feet is twelve times a hundred and two inches.

And remember twelve is ten plus two, so we can use the distributive property of multiplication to make this calculation easier. Twelve times a hundred and two is the same as ten times a hundred and two plus two times a hundred and two, which is one thousand and twenty plus two hundred and four.

So a hundred and two feet is one thousand two hundred and twenty-four inches. Now one yard is three feet. And if I divide three feet by three, I’ve got one foot.

And if I’ve got a third of the distance in feet, I’ve got a third of the distance in yards, so one foot is a third of a yard. But I want to know how many yards is a hundred and two feet.

Well a hundred and two feet is a hundred and two times as much as one foot. So we’re also gonna have a hundred and two times as many yards, so that’s a hundred and two times a third yards or a third of a hundred and two. Well three times thirty-three would be ninety-nine, so thirty-four times three would be a hundred and two, so that’s gonna be thirty-four yards.

So our answer then in inches a hundred and two feet is one thousand two hundred and twenty-four inches and in yards is only thirty-four yards.