Activity 3.2h Unit Conversion Homework Answer Key

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How to Solve Activity 3.2h Unit Conversion Homework

Activity 3.2h Unit Conversion Homework is a set of exercises that require you to convert between different units of measurement using conversion factors and significant figures. The activity covers various topics such as length, volume, temperature, and speed. In this article, we will show you how to solve some of the problems from the activity and provide you with the answer key.

Problem 1

The first problem asks you to find the conversion factor that should be used to convert from Gigaliters to liters. A Gigaliter is a unit of volume that is equal to one billion liters. To find the conversion factor, you need to know how many liters are in one Gigaliter. You can use the prefix \"Giga\" to indicate that it is 10 times larger than the base unit. Therefore, one Gigaliter is equal to 10 liters. The conversion factor is then:

1 GigaL = 10 L

Problem 2

The second problem asks you to convert each of the following quantities to the indicated units using the appropriate number of significant figures. Here are some examples:

a. 0.005098 Megaliters to liters. Record your answer in whole liters.

A Megaliter is a unit of volume that is equal to one million liters. To convert from Megaliters to liters, you need to multiply by 10. The conversion factor is:

1 MegaL = 10 L

To convert 0.005098 MegaL to liters, you multiply by the conversion factor:

0.005098 MegaL x 10 L/1 MegaL = 5098 L

The original quantity has four significant figures, so the answer should also have four significant figures. However, since the answer is in whole liters, there are no decimal places to indicate the number of significant figures. To avoid ambiguity, you can use scientific notation to express the answer:

5.098 x 10 L

b. 57.2 inches to feet.

An inch is a unit of length that is equal to one-twelfth of a foot. To convert from inches to feet, you need to divide by 12. The conversion factor is:

1 in = 1/12 ft

To convert 57.2 inches to feet, you divide by the conversion factor:

57.2 in x 1/12 ft/1 in = 4.766666667 ft

The original quantity has three significant figures, so the answer should also have three significant figures. To round off the answer, you look at the fourth digit after the decimal point and see that it is 6, which is greater than or equal to 5. Therefore, you increase the third digit by one and drop the rest:

4.77 ft

Answer Key

The answer key for all the problems in Activity 3.2h Unit Conversion Homework can be found in [^1^] [^2^] [^3^]. You can check your answers with these sources and see if you followed the correct steps and used the correct number of significant figures. ec8f644aee