Multiple Conversion Factors (Part 2)

TL;DR

Learn how to convert units with a top and a bottom, such as kilometers per hour to miles per hour or grams per cubic cm to ounces per cubic inch.

Transcript

in previous lessons we've seen how we can use conversion factors with a top and a bottom to convert units like kilometers to miles but what do we do when the thing that we want to convert the thing that we want to start with already has a top and a bottom like kilomet per hour how do we use conversion factors then that's what we're going to talk ab... Read More

Key Insights

• 😑 Converting units with a top and a bottom requires expanding the given expression to separate the numerator and denominator.
• 🇦🇪 Conversion factors are necessary to cancel out unwanted units and replace them with the desired units.
• 🧑‍🏭 Conversion factors can be used even if they are not directly related to the units being converted.
• 🧑‍🏭 The order in which conversion factors are applied does not affect the final result.

Questions & Answers

Q: How do you convert units with a top and a bottom?

To convert units with a top and a bottom, first expand the expression to separate the numerator and denominator. Then, use conversion factors to cancel out unwanted units and replace them with the desired units. Perform the necessary math calculations to obtain the final answer.

Q: What are conversion factors used for in unit conversion with a top and a bottom?

Conversion factors are used to establish the relationship between the original units and the desired units. By multiplying or dividing the given expression by the appropriate conversion factors, unwanted units can be canceled out.

Q: Can conversion factors be used even if they are not directly related to the units being converted?

Yes, conversion factors can be used as long as they have the desired units on the top and the corresponding units on the bottom. The order in which the conversion factors are applied does not matter as long as they are multiplied together.

Q: How can one ensure that the desired units are kept on top and the corresponding units are kept on the bottom?

By properly choosing and applying the conversion factors, the desired units can be kept on top and the corresponding units can be kept on the bottom. It is important to carefully determine which conversion factors to use and in what order to achieve the desired end result.

Summary & Key Takeaways

• Converting units with a top and a bottom requires expanding the given expression and applying conversion factors to cancel out unwanted units.

• The process involves finding the relationship between the original units and the desired units, and using conversion factors to make the necessary conversions.

• Math calculations can be performed to obtain the final answer, keeping the desired units on top and the corresponding units on the bottom.