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Dimensional Analysis Monday, August 17 th, 2015. What’s the Rule?

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Presentation on theme: "Dimensional Analysis Monday, August 17 th, 2015. What’s the Rule?"— Presentation transcript:

1 Dimensional Analysis Monday, August 17 th, 2015

2 What’s the Rule?

3

4

5 Unit Conversion Factor A fraction whose numerator and denominator are equivalent (you can also use the reciprocal)

6 To solve a dimensional analysis problem you want to choose a unit conversion factor that… Introduces the unit you want in the answer Cancels out the original unit so that the one you want is all that is left.

7 “Canceling out” Words

8 Practice: Choose the appropriate conversion factor. Inches to feet Minutes to hours Meters to centimeters

9 Metric Conversions PrefixAbbrevFactor = 1 base unit Mega-M10 -6 kilo-k10 -3 hecto-h10 -2 deci-d10 1 centi-c10 2 milli-m10 3 micro-µ10 6 nano-n10 9 pico-p10 12

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11 Examples One bag of apples weighs 64 ounces. How many pounds does it weigh? Darren drank 2 liters of water. How many milliliters of water did he drink?

12 Convert 80 miles per hour to feet per hour. Convert 63,360 feet per hour to miles per hour.

13 D.A. Activity #1 Practice in your notebook 1. Convert 38 cm to m 2. Convert 417 mg to g 3. Convert 80 m to km 4. Convert 0.0025L to nL 5. Convert 0.17 m to mm

14 1. Convert 38 cm to m

15 2. Convert 417 mg to g

16 D.A. Activity #1 Answers 1. 0.38 m 2. 0.417 g 3. 0.030 km 4. 2,500,000 nL 5. 170 mm

17 D.A. Homework WKST #1 Complete the half sheet of practice problems in your notebook

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19 Answers to the Intro to DA half sheet 1. 3.2 feet 2. 11.5 inches 3. 75 feet 4. 5.7 meters (this is a rough guess) 5. 2.9 feet 6. 1.4 meters 7. 0.87 meters 8. 420 centimeters


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