**Unit Conversion**

Example 1

Airam is driving at 70 miles per hour, what is her approximate speed in kilometers per hour?

1 pound x

=

16 ounces 80 ounces

You will learn:

How to convert one unit of measurement to another.

Terms & Names:

Rate: a comparison of two quantities that have different units of measure

Speed: distance divided by time

Unit: a particular amount of length, time, etc., that is used as a standard for counting or measuring

Per: indicates rate

Convert: to express a given measurement in terms of a different unit of measurement

Ratio: comparison of two numbers of quantities, may be written as a fraction

How to set up this problem

1 mile 70 miles

1.6 km = x hours

Check for Understanding

**By Azzel Menzie, Airam Lopez, Nathalie Mejia**

When you're given a measurement in one unit, and you are asked to change it to a different unit, you can make a conversion by setting up a proportion

Customary

12 inches = 1 foot

3 feet = 1 yard

1760 yards = 1 mile

Temperature

Fahrenheit: 9/5 celsius + 32

Celsius: 5/9 fahrenheit - 32

Metric

10 millimeter=1 centimeter

100 centimeters=1 meter

100 meters=1 kilometers

Time

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Write

rate of

conversion

as fraction

Miles

Airam is

driving at

what you're trying

to figure out

1 mile 70 miles

1.6 km = x hours

Cross

multiply

}

1 x X = 1.6 x 70

1x = 112

x = 112 kilometers

}

Solve

for x

A bag of Skittles weighs 80 ounces. How heavy is the bag in pounds?

1 pound = 16 ounces

Answer:

x = 5 pounds

( 1 mile is approximately equal to 1.6 kilometers )

cross multiply

}

16x = 1 x 80

16x = 80

x = 5 lbs

Basic Units

Common Misconception

Many times people forget to line up the same units with each other

Correct:

1 foot x

x

12 inches 50 inches

Nat bought a desk that measures 50 inches long, how much is this in feet?

Incorrect:

1 foot 50 inches

x

12 inches x

A little more challenging. . .

Azzel took a 3 hour nap, how much is this in seconds?

1 hour = 60

1 minute = 60 seconds

1 hour 3 hours

x

60 minutes x

First

Convert hours to minutes

x = 60x3

x = 180 minutes

1 minute 180 minutes

x

60 seconds x

Then convert minutes to second

x = 180x60

x= 10,800

Azzel slept for 10,800 seconds