How Do You Use Dimensional Analysis to Convert Units on Both Parts of a Rate?

How Do You Use Dimensional Analysis to Convert Units on Both Parts of a Rate?

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Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use conversion factors to convert the rate to different units!

Keywords:

problem

word problem

rate

conversion factor

convert

measurement

change measurements

two units

unit

relationship between measurements

convert measurement

conversion factors

unit analysis

Background Tutorials

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

Can you do 100 sit-ups in 2 minutes? That's a rate! Driving a car going 40 miles per hour? That's a unit rate! Watch this tutorial to learn about rate and unit rate (and the difference!).

Further Exploration

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use a conversion factor to convert a unit in the rate. Take a look!