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Measurement Class 6 OB: To practice and master dimensional analysis problems, or unit conversion math (with SF, density, etc.)

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Take out your reference tables, calculators at the ready. (1.06 Qt = 1 L) Convert 2450 mL into gallons. Show all units (3 SF)

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2450 mL 1 X 1 Liter 1000 mL X 1.06 Qt 1 Liter X 1 gallon 4 Qt = = 2597/4000 = 0.64925 gallons = 0.649 gallons with 3 SF

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How many millimeters are in 1000. yards? Answer into scientific notation.

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How many millimeters are in 1000. yards? Put answer into scientific notation. 1000. yd 1 X 36 inch 1 yd X 2.54 cm 1 inch X 10 mm 1 cm = = 914,400 mm = 9.144 x 10 5 mm With 4 SF

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If you have exactly 25.0 Liters of water, how much does that weigh in tons? Hint: write the density of pure water first, then see if it helps you convert things around

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If you have exactly 25.0 Liters of water, how much does that weigh in tons? The density of pure water is 1.0g per mL which should tell you how much 25.0 liters mass is. 25.0 L 1 X 1 pound 454 g X 1 ton 2000 p = 25000/ 908000 = 0.0275 tons with 3 SF 2.75 x 10 -2 tons = 1000 mL 1 L 1 g 1 mL X X

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In dimensional analysis, the units are there just to be converted. They don’t “really” even matter. In fact, they can be made up, make believe. As long as you have equalities, you can convert from one unit to another, even if they are fake units. Using fake units is called abstract thinking. You need to be abstract now, not obtuse. OK? Imagine you are working at a zoo. Different animals have different “values”, which are not real, but come into play when trading other zoos to get new cool animals. Think and get psyched for this one…

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You wish you could get a new proboscis monkey for the empty cage at your zoo. You have an abundance of lemurs on hand and hope to trade them away. In a multi- zoo trade, you set it all up. 1 proboscis monkey = 14 zebras 8 zebras = 1 giraffe 2 giraffes = 1 elephant 1 elephant = 27 penguins 5 penguins = 1 lemur If this is all true (it is, I promise), how many lemurs will it take to get one proboscis monkey? (don’t sweat SF) Round to the nearest whole lemur!

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1 proboscis monkey = 14 zebras 8 zebras = 1 giraffe 2 giraffes = 1 elephant 1 elephant = 27 penguins 5 penguins = 1 lemur

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1 proboscis monkey = 14 zebras 8 zebras = 1 giraffe 2 giraffes = 1 elephant 1 elephant = 27 penguins 5 penguins = 1 lemur = 378/80 = 4.725 or 5 lemurs are equal to 1 proboscis monkey! 1 P.M. 1 X 14 zebra 1 P.M. X 1 giraffe 8 zebra X 1 elephant 2 giraffes X 27 penguins 1 elephant X 1 lemur 5 penguins =

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You have a special moment and discover a hunk of metal in your yard in the dirt. It’s stamped “pure osmium” and “100.0 grams” as well. It looks pretty new and you even believe this is real. What is the volume of this hunk of metal in cm 3 ? Show a formula and all your work. SF are your initials.

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Who would buy these?

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You have a special moment and discover a hunk of metal in your yard in the dirt. It’s stamped “pure osmium” and “100.0 grams” as well. It looks pretty new and you even believe this is real. What is the volume of this hunk of metal in cm 3 ? Show a formula and all your work. SF are your initials. D = MvMv 22.587 g/cm 3 1 = 100.0 g v 22.587 g/cm 3 (v) = 100.0 g v = 4.42732… = 4.427 cm 3 with 4 SF

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1.0 pigs equal 1.6 dogs 2.2 dogs is equal to 0.95 cats 1.9 cats is equal to 3.1 birds 1.0 bird is the same as 11.0 spiders and finally, 3.7 spiders is the same as 8.5 bugs If this is true, how many bugs make up 1.0 pig? (wow) Please round (UP) to the nearest whole bug (or yuck!)

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1.0 pig 1 1.6 dog 1.0 pig 0.95 cat 2.2 dogs 3.1 birds 1.9 cats 11.0 spiders 1.0 birds 8.5 bugs 3.7 spiders x x x x x 1.0 x 1.6 x 0.95 x 3.1 x 11.0 x 8.5 = 440.572 = 28.48648649 bugs 1 x 1.0 x 2.2 x 1.9 x 1.0 x 3.7 = 15.466 Rounded to the nearest whole bug, that’s 29 bugs! Read the Measurement BASICS – NOTES due Friday. Do the SF drills! Measurement Lab Friday. Temperature lab ASAP.

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© 2010 Pearson Prentice Hall. All rights reserved Converting Units § 6.4.

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