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Dimensional Analysis

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**Steps: 1. Identify starting & ending units.**

2. Line up conversion factors so the units will cancel themselves. 3. Multiply all top numbers together and all of the bottom numbers together. 4. Divide the top answer from the bottom answer. 5. Check your units & the answer.

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**...can be written as a fraction like this:**

2 points per basket ...can be written as a fraction like this: 1 basket or 2 points 2 points basket

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**Convert the following measurements to the units indicated:**

34 meters to cm 0.520 km to m

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**Convert the following measurements to the units indicated:**

85.5 cm to mm 63 dg to kg

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**How many milliliters are in 5 liters?**

Convert the following measurements to the units indicated. Put your answers in scientific notation. How many milliliters are in 5 liters? How many kilograms are in 598 grams?

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**A pound of butter costs $1. 39**

A pound of butter costs $ What is the cost of a kilogram of butter? (453.6 grams = 1 lb)

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**A car is traveling at a speed of 65 miles per hour**

A car is traveling at a speed of 65 miles per hour. How fast is the car traveling in meters per second? (1.609 km = 1 mile)

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Because your 18 year-old friend never learned dimensional analysis, he started working at McDonald’s wrapping hamburgers. Every 3 hours he wraps 350 hamburgers. He works 8 hours a day and 5 days a week. He gets paid every 2 weeks with a salary of $ (after taxes!) Approximately how many hamburgers will he have to wrap to make his first one million dollars? (If you can solve this problem, you know DA and maybe you can help your friend get a better job! Round your answer to one significant figure - it’s going to be LARGE!)

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**How much time will it take to wrap all those hamburgers**

How much time will it take to wrap all those hamburgers. Express the time in years. Assume that he will work 40 weeks out of the year and that he produces the same amount of wrapped burgers every day. By the way, be careful on this one – nobody works 24 hours a day! Round your answer to the nearest year.

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