GED Math : Units and Unit Conversions

Example Questions

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Example Question #1 : Units And Unit Conversions

Convert 2.5 years to days. Assume that the years in question are not leap years. Round to the nearest day.

Explanation:

Make sure that your units cross out properly.

Example Question #2 : Units And Unit Conversions

How many cups are in 3 gallons?

Explanation:

Example Question #3 : Units And Unit Conversions

Express 6 yards in inches.

Explanation:

A yard comprises 36 inches, so multiply by 36:

One yard is equal to 216 inches.

Example Question #4 : Units And Unit Conversions

How many ounces are in  cups? If necessary, round to the nearest tenth.

1 cup = 8 ounces

1 ounce - .125 cups

ounces

ounces

ounces

ounces

ounces

ounces

Explanation:

Convert cups to ounces by creating a ratio (see below). In the second fraction, the cups unit is on the denominator so "cups" cancels out.

Example Question #5 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

.

Anja, a German woman visiting St. Louis, is confused by a weather report that says that the temperature today is to reach a peak of 58 degrees. This being an American weather report, that temperature is expressed in degrees Fahrenheit, but being German, Anja is used to the Celsius temperature scale. To the nearest degree, convert the predicted peak temperature to Celsius.

Explanation:

We are converting Fahrenheit to Celsius, so we use the formula

.

Substitute  to calculate the value of :

The temperature, expressed in degrees Celsius, is .

Example Question #6 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

.

Which of the following Fahrenheit temperatures comes closest to  ?

Explanation:

We are converting Celsius to Fahrenheit , so we use the formula

.

Substitute 150 for  to calculate the value of :

The equivalent Fahrenheit temperature is .

Example Question #7 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

.

Which of the following Celsius temperatures comes closest to ?

Explanation:

We are converting Fahrenheit to Celsius, so we use the formula

.

Substitute 150 for  to calculate the value of :

The temperature, expressed in degrees Celsius, is .

Example Question #8 : Units And Unit Conversions

Fahrenheit temperature can be converted to its Celsius equivalent using the formula

.

Celsius temperature can be converted to its Fahrenheit equivalent using the formula

.

Wesley, an American visiting London, is confused by a weather report that says that the temperature today is to reach a peak of 22 degrees. This being a British weather report, that temperature is expressed in degrees Celsius, but being American, Wesley is used to the Fahrenheit temperature scale. To the nearest degree, convert the predicted peak temperature to Fahrenheit.

Explanation:

We are converting Celsius to Fahrenheit , so we use the formula

.

Substitute 22 for  to calculate the value of :

,

which rounds to .

Example Question #9 : Units And Unit Conversions

Convert 47 inches to feet.

Explanation:

Multiply 47 inches by the conversion ratio to get the equivalent measure in feet:

Example Question #10 : Units And Unit Conversions

A scale on a map states that every  represents .  If cities are  apart on the scaled map, how many miles are between the two cities?

Explanation:

If each 1/3 of an inch on the scaled map = 15 miles; then 1 inch would represent

or  per inch.

The measured distance is 6 inches.

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