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Unit Conversions *A quick review

Unit Conversions *A quick review. Be Careful of Units of Measure. Problems will be marked wrong if in the incorrect units Always double check the units you are asked to answer in Let’s do a quick review of how to convert units. Converting Inches to centimeters. 10.0 in.

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Unit Conversions *A quick review

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  1. Unit Conversions *A quick review

  2. Be Careful of Units of Measure • Problems will be marked wrong if in the incorrect units • Always double check the units you are asked to answer in • Let’s do a quick review of how to convert units

  3. Converting Inches to centimeters 10.0 in We start by writing down the number and the unit

  4. Converting Inches to centimeters 10.0 in 2.54 cm 1 in Our conversion factor for this is 1 in = 2.54 cm. Since we want to convert to cm, it goes on the top.

  5. Converting Inches to centimeters 10.0 in 2.54 cm 1 in Now we cancel and collect units. The inches cancel out, leaving us with cm – the unit we are converting to.

  6. Converting Inches to centimeters 10.0 in 2.54 cm 25.4 cm = 1 in Since the unit is correct, all that is left to do is the arithmetic... The Answer

  7. A more complex conversion km to m hrs In order to work a homework problem, we need to convert kilometers per hour into meters per second. We can do both conversions at once using the same method as in the previous conversion.

  8. A more complex conversion km to m hr s Step 1 – Write down the number and the unit! 80 km hr

  9. A more complex conversion km to m hr s 80 km 1 hr hr 3600 s First we’ll convert time. Our conversion factor is 1 hour = 3600 sec. Since we want hours to cancel out, we put it on the top.

  10. A more complex conversion km to m hrs 80 km 1 hr 1000 m hr 3600 s 1 km Next we convert our distance from kilometers to meters. The conversion factor is 1 km = 1000 m. Since we want to get rid of km, this time it goes on the bottom.

  11. A more complex conversion km to m hrs 80 km 1 hr 1000 m m = s hr 3600 s 1 km Now comes the important step – cancel and collect units. If you have chosen the correct conversion factors, you should only be left with the units you want to convert to.

  12. A more complex conversion km to m hr s 80 km 1 hr 1000 m = hr 3600 s 1 km 80,000 m Since the unit is correct, we can now do the math – simply multiply all the numbers on the top and bottom, then divide the two. 3600 s

  13. A more complex conversion km to m hr s 80 km 1 hr 1000 m = hr 3600 s 1 km 80,000 m m 22 The Answer!! = s 3600s

  14. Example: Songs • How many songs are in all the iPods at school? • Start by collecting data • 0.5 iPods/student • 250 songs/iPod • 30 students/classroom • 100 classrooms/school

  15. Set up the Fractions 0.5 iPods x 500 songs x 30 students x 100 classrooms student iPod classroom school

  16. Cancel Units 0.5 iPods x 500 songs x 30 students x 100 classrooms student iPod classroom school

  17. Cancel … 0.5 iPods x 500 songs x 30 students x 100 classrooms student iPod classroom school

  18. Keep going… 0.5 iPods x 500 songs x 30 students x 100 classrooms student iPod classroom school

  19. Calculate 0.5 iPods x 500 songs x 30 students x 100 classrooms student iPod classroom school 0.5 x 500 x 30 x 100 songs school

  20. Answer 0.5 iPods x 500 songs x 30 students x 100 classrooms student iPod classroom school 0.5 x 500 x 30 x 100 songs school = 750,000 songs/school

  21. Now, let’s do some practice. This assignment is to be completed individually and turned in for a grade.

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