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Main Idea and New Vocabulary

Example 1:Convert Rates

Example 2:Convert Rates

Example 3:Convert Derived Units

- Convert units of measure between derived units to solve problems.

- derived unit

Multiply by .

Divide out common units.

Convert Rates

TRAINS The Shinkansen passenger train of Japan travels at a rate of 300 kilometers per hour. How many meters per hour is this?

You can use 1 kilometer = 1,000 m to convert the rate.

Simplify.

Simplify.

Convert Rates

Answer: So, the train travels at a rate of 300,000 meters per hour.

DRIVING During one driving trip, Eric averaged 62 miles per hour. How many miles per minute did he average?

A.3,720 mi/min

B.37.20 mi/min

C.10.3 mi/min

D.1.03 mi/min

Multiply by

Divide out common units.

Convert Rates

RUNNING Kelley runs at a speed of 9 miles per hour. How many miles per second is this?

You can use 1 hour = 60 minutes and 1 minute = 60 seconds to convert the rates.

Simplify.

Simplify.

Simplify.

Convert Rates

Answer:Kelley runs at a speed of 0.0025 mile per second.

DRIVING Diante’s grandfather averages a speed of 15 miles per hour when driving through town. How many miles per second is this?

A.54,000 mi/s

B.5,400 mi/s

C.0.25 mi/s

D.0.004 mi/s

Multiply by distance and time unit ratios.

Convert Derived Units

CARS A car travels at an average speed of 60 miles per hour on a trip. What is the car’s speed in feet per second?

You can use 1 mile = 5,280 feet, 1 hour = 60 minutes, and 1 minute = 60 seconds to convert the rates.

Divide out common units.

Simplify.

Simplify.

Simplify.

Convert Derived Units

Answer: The car travels an average of 88 feet per second.

MOTORCYCLES Amotorcycle travels at an average speed of 56 miles per hour on a trip. What is the motorcycle’s speed in feet per minute?

A.17,740,800 ft/min

B.295,680 ft/min

C.4,928 ft/min

D.82.1 ft/min