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8-1. Customary and Metric Measurements. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 8-1. Customary and Metric Measurements. Course 2. Warm Up 1. How many days are in 1 week? 2. How many seconds are in 1 minute? 3. How many inches are in 1 foot?

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  1. 8-1 Customary and Metric Measurements Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 8-1 Customary and Metric Measurements Course 2 Warm Up 1. How many days are in 1 week? 2. How many seconds are in 1 minute? 3. How many inches are in 1 foot? 4. How many hours are in 1 day? 5. How many inches are in 1 yard? 7 60 12 24 36

  3. 8-1 Customary and Metric Measurements Course 2 Problem of the Day It takes a driver about 3 4 second to begin breaking after seeing something on the road. How many feet does the car travel in that time if it is going 10 mi/h? 20 mi/h? 30 mi/h? 11 ft; 22 ft; 33 ft

  4. 8-1 Customary and Metric Measurements Course 2 Learn to convert measurements between the customary and metric systems.

  5. 8-1 Customary and Metric Measurements Course 2 Recall that a unit conversion factor is a fraction whose numerator and denominator represent the same quantity but in different units.

  6. 8-1 Customary and Metric Measurements There are 24 hours in 1 day, so the possible conversion factors are or . Choose the second factor so that the day units will cancel. 24 hr 1 day 1 day 24 hr Remember! 60 s = 1 min 60 min = 1 hr 24 hr = 1 day 365 days = 1 year Course 2 Additional Example 1: Converting Between Units of Time How many hours are there in 102 days? 24 hr 1 day 2,448 hr 1 102 days · = = 2,448 hr There are 2,448 hours in 102 days.

  7. 8-1 Customary and Metric Measurements There are 60 minutes in 1 hour, so the possible conversion factors are or . Choose the second factor so that the hour units will cancel. 60 min 1 hr 1 hr 60 min Course 2 Try This: Example 1 How many minutes are there in 12 hours? 60 min 1 hr 720 min 1 12 hours · = = 720 min There are 720 minutes in 12 hours.

  8. 8-1 Customary and Metric Measurements Course 2 We use two systems of measurement: customary and metric. The customary system is based on measurements from old English law, and the metric system is based on powers of ten. Each system has its own units.

  9. 8-1 Customary and Metric Measurements Course 2

  10. 8-1 Customary and Metric Measures Course 2 Additional Example 2: Making One-Step Unit Conversions Convert 2,500 centimeters to meters. There are 100 centimeters to 1 meter. 2,500 m 100 1 m 100 cm Use a unit conversion factor. 2,500 cm · = = 25 m So 2,500 centimeters is equal to 25 meters.

  11. 8-1 Customary and Metric Measures Course 2 Try This: Example 2 Convert 15 gallons to quarts. There are 4 quarts to 1 gallon. 4 qt 1 gal 60 qt 1 Use a unit conversion factor. 15 gal · = = 60 qt So 60 quarts is equal to 15 gallons.

  12. 8-1 Customary and Metric Measurements 1 Make a Plan Understand the Problem 2 Course 2 Additional Example 3:Problem Solving Application Joshua bought 32 pints of ice cream for the end-of-the-year class party. How many gallons of ice cream did he buy for the party? Rewrite the question as a statement: • Find the number of gallons in 32 pints. List the important information: •Joshua bought 32 pints of ice cream. Use conversion factors to convert pints to quarts and then quarts to gallons.

  13. 8-1 Customary and Metric Measurements 3 Solve 4 Course 2 1 qt 2 pt 32 gal 8 1 gal 4 qt Use two conversion factors. 32 pt · = · = 4 gal Since 32 pints is equal to 4 gallons, Joshua bought 4 gallons of ice cream for the party. Look Back A gallon is a greater unit than a pint, so the answer should be less than 32. So 4 is a reasonable answer.

  14. 8-1 Customary and Metric Measurements 1 Make a Plan Understand the Problem 2 Course 2 Insert Lesson Title Here Try This: Example 3 John ordered 24 gallons of soda for the concession stand. If it is dispensed in containers holding 1 cup, how many individual drinks will he be able to sell? Rewrite the question as a statement: • Find the number of cups in 24 gallons. List the important information: •Joshua has 24 gallons of soda. Use conversion factors to convert gallons to quarts and then quarts to pints to cups.

  15. 8-1 Customary and Metric Measurements 3 Solve 4 Course 2 Use three conversion factors. 4 qt 1 gal 2 pt 1 qt 2 c 1 pt 384 c 1 = 24 gal · · · = 384 c Since 15 gallons is equal to 384 cups, John had enough soda to sell 384 cups. Look Back A cup is much smaller than a gallon, so the answer should be considerably larger than 24. So 384 is a reasonable answer.

  16. 8-1 Customary and Metric Measurement Course 2 Insert Lesson Title Here Lesson Quiz 1. How many minutes are there in 5.5 hours? 2. How many seconds are in 2 hours? Convert. 3. 320 cm = ______ m 4. 64 oz = _______ lb 5. How many gallons of oil are needed to fill a 40-quart barrel? 330 min 7,200 s 3.2 4 10 gal

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