Back to Quantities — Problem 1 · Task Set 29

HSN.Q Tutor Intake — Units, Quantities, and Accuracy

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Grade 9·13 problems·~15 min·Common Core Math - HS Number and Quantity·domain·q

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Procedures

A student needs to convert 45 miles per hour to meters per second.
Known equivalences: 1 mile = 1,609 meters; 1 hour = 3,600 seconds.
Which dimensional analysis chain is set up correctly so that
unwanted units cancel and meters/second remains?

45 miles/hour × (1,609 m / 1 mile) × (1 hour / 3,600 s)

45 miles/hour × (1 mile / 1,609 m) × (3,600 s / 1 hour)

45 miles/hour × (1,609 m / 1 mile) × (3,600 s / 1 hour)

45 miles/hour + 1,609 + 3,600