Basic Mathematics for College Students

492 Chapter 5 Summary and Review

We convert between American and metric

unitsof capacity using the facts on the right.

The conversions are rounded approximations.

American to metric Metric to American

1 gal3.79 L 1 L0.264 gal

1 qt0.95 L 1 L1.06 qt

1 pt0.47 L 1 L2.11 pt

1 fl oz29.57 mL 1 L33.81 fl oz

Unit conversion factorscan be formed from the

facts in the tables on the right to make specific

conversions between American and metric

units of capacity.

Convert 5 fluid ounces to milliliters. Round to the nearest tenth.

To convert from fluid ounces to milliliters, we select a unit conversion

factor that introduces the units of milliliters and eliminates the units of

fluid ounces. Since there are 29.57 milliliters for every fluid ounce, we

will use:

To perform the conversion, we multiply.

Write 5 fl oz as a fraction. Then multiply

by a form of 1:.

Simplify.

Do the multiplication.

Round to the nearest tenth.

Thus, 5 fluid ounces147.9 milliliters.

 147.9 mL

 147.85 mL

 5 29.57 mL

Remove the common units of fluid

ounces from the numerator and

denominator. The units of mL remain.



5 fl oz

1



29.57 mL

1 fl oz

29.57 mL

1 fl oz^

5 fl oz

5 fl oz

1



29.57 mL

1 fl oz

This is the unit we want to introduce.

 This is the unit we want to eliminate (the original unit).

29.57 mL

1 fl oz

In the American system, we measure

temperature using degrees Fahrenheit().In

the metric system, we measure temperature

using degrees Celsius( ).

IfFis the temperature in degrees Fahrenheit

and Cis the corresponding temperature in

degrees Celsius, then

and F

9

5

C C 32

5

9

(F32)

°C

°F

Convert to degrees Celsius. Round to the nearest tenth of a

degree.

This is the formula to find degrees Celsius.

Substitute 92 for F.

Do the subtraction within the parentheses first.

Write 60 as a fraction.

Do the division.

Round to the nearest tenth.

Thus,92°F33.3°C.

33.3

33.333...

Multiply the numerators: 5 60 300.

Multiply the denominators.



300

9



5

9

a

60

1

b



5

9

(60)



5

9

( 92 32)

C

5

9

(F32)

92°F