Page 450 - Basic College Mathematics with Early Integers

CHAPTER HIGHLIGHTS 427

Definitions and Concepts Examples

Section 5.3 Proportions and Problem Solving (continued)

3. SOLVE:

50 = n
3 10

#
#
50 10 = 3 n Set the cross products equal to each other.
#
500 = 3 n Multiply.
500
= n Divide 500 by 3, the number multiplied by n.
3
2
n = 166
3
4. INTERPRET. Check your work. State your conclusion:
2
On the map, 166 miles corresponds to 10 inches.
3

Section 5.4 Length: U.S. and Metric Systems of Measurement

To convert from one unit of length to another, multiply by 12 inches 1 foot 3 feet
, ,
a unit fraction in the form 1 foot 12 inches 1 yard
units to convert to
. Convert 6 feet to inches.
original units
6 ft
LENGTH: U.S. SYSTEM OF MEASUREMENT 6 ft = # 1
1
12 inches 1in.2 = 1 foot 1ft2 6ft 12 in. ; units to convert to
#
=
3 feet = 1 yard 1yd2 1 1ft ; original units
#
= 6 12 in.
5280 feet = 1 mile 1mi2
= 72 in.
The basic unit of length in the metric system is the meter. Convert 3650 centimeters to meters.
A meter is slightly longer than a yard.
#
3650 cm = 3650 cm 1
LENGTH: METRIC SYSTEM OF MEASUREMENT
3650 cm 0.01 m
= # = 36.5 m
Metric Unit of Length 1 1cm
or
1 kilometer 1km2 = 1000 meters 1m2
km hm dam m dm cm mm
1 hectometer 1hm2 = 100 m
1 dekameter 1dam2 = 10 m 2 units to the left
1 meter 1m2 = 1 m 3650 cm=36.5 m
1 decimeter 1dm2 = 1>10 m or 0.1 m 2 places to the left
1 centimeter 1cm2 = 1>100 m or 0.01 m
1 millimeter 1mm2 = 1>1000 m or 0.001 m