Use dimensional analysis to convert 0.7 mi to ft.

Choosing and Converting UnitsChoosing and Converting UnitsCOURSE 3 LESSON 5-2COURSE 3 LESSON 5-2

There are 3,696 ft in 0.7 miles.

0.7 mi = •0.7 mi

15,280 ft

1 miMultiply by a conversion factor.

= (0.7)(5,280) ft

1 Simplify.

= 3,696 ft Simplify.

Divide by the common units.

5-2

A rowing team completed a 2,000-m course at a

rate of 6.84 m/s. Convert this rate to kilometers per minute.

Choosing and Converting UnitsChoosing and Converting UnitsCOURSE 3 LESSON 5-2COURSE 3 LESSON 5-2

The team rowed at a rate of 0.4104 km/min.

Estimate 6.84 7. Then, 7 • 60 ÷ 1000 = 0.42.

= • •6.84 m

1 s1 km

1000 m

Multiply by two ratios thateach equal one.

60 s1 min

6.84 m1 s

= Simplify.

= 0.4104 Use a calculator.

(6.48)(1)(60) km(1)(1,000)(1) min

Check for Reasonableness The answer 0.4104 km/min is close to the estimate 0.42. The answer is reasonable.

Divide by the common units.

5-2

Use compatible numbers to estimate the number

of gallons in 33 quarts.

Choosing and Converting UnitsChoosing and Converting UnitsCOURSE 3 LESSON 5-2COURSE 3 LESSON 5-2

There are about 8 gallons in 33 quarts.

The conversion factor for changing gallons to quarts is .

= •32 qt

1 1 gal4 qt

Multiply by the conversion factor.Divide by the common units.

= 8 gallons Divide.

= gallons Simplify.324

1 gal4 qt

33 qt 32 qtRound to the nearest numberdivisible by 4.

5-2

Choosing and Converting UnitsChoosing and Converting Units

1. Choose an appropriate customary unit and metric unit for the distance between two cities.

2. Convert 0.75 hours to seconds.

3. $150 per hour is how much per minute?

4. 69.2 cm is about how many meters?

COURSE 3 LESSON 5-2COURSE 3 LESSON 5-2

miles; kilometers

2,700 s

$2.50 per min

0.7 m

5-2