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

2. Take out your yellow short reference tables, find the conversion factors at the bottom of the page. Calculators at the ready. (1.06 Qt = 1 L) Convert 2450 mL into gallons. Show all units (3 SF)

3. Take out your yellow short reference tables, find the conversion factors at the bottom of the page. Calculators at the ready. Convert 2450 mL into gallons. Show all units (3 SF) • 1.06 Qt1 Liter 2450 mL1 • 1 Liter1000 mL • 1 gallon4 Qt = • X • X X = 2597/4000 = 0.64925 gallons = 0.649 gallons with 3 SF

4. How many millimeters are in 1000. yards? Put answer into scientific notation.

5. How many millimeters are in 1000. yards?Put answer into scientific notation. • 2.54 cm1 inch 1000. yd1 • 36 inch1 yd • 10 mm1 cm = • X • X X = 914,400 mm = 9.144 x 105 mm With 4 SF

6. 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

7. If you have exactly 25.0 Liters of water, how much does that weigh in tons? Hint: the density of pure water is 1.0g per mL which should tell you how much 25.0 liters mass is. • 1 g1 mL • 1 pound454 g • 1000 mL1 L • 1 ton2000 p 25.0 L1 X • X • X • X = • = 25000/ 908000 = 0.0275 tons • with 3 SF • 2.75 x 10-2 tons

8. 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…

9. 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!

10. 1 proboscis monkey = 14 zebras 8 zebras = 1 giraffe 2 giraffes = 1 elephant 1 elephant = 27 penguins 5 penguins = 1 lemur • 1 lemur5 penguins • 27 penguins1 elephant • 1 elephant2 giraffes • 1 giraffe8 zebra = • 14 zebra1 P.M. 1 P.M.1 X X X X X = 378/80 = 4.725 or 5 lemurs are equal to 1 proboscis monkey!

11. 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 cm3? Show a formula and all your work. SF are your initials.

12. 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 cm3? Show a formula and all your work. SF are your initials. Mv D = 22.587 g/cm31 100.0 gv = 22.587 g/cm3 (v) = 100.0 g v = 4.42732… = 4.427 cm3 with 4 SF

13. Who would buy these?

14. 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 to the nearest whole bug (or yuck!)

15. 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 Diary, do the drills! Hand in temperature lab ASAP.