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Significant Figures Name: __________________________ For 1-15, write down how many significant figures each number has: 1. 4.53 _______ 6. 2300 _______ 11. 0.707 ______ 2. 2.30 _______ 7. 0.002 _______ 12. 7070 ______ 3. 1.02 _______ 8. 1.000 _______ 13. 7070 _______ 4. 450 _______ 9. 0.070 _______ 14. 3.4E4 ______ 5. 3200. ______ 10. 7.070 ______ 15. 1.02E-2 _______ For 16 – 25 write down the answers to the following questions using the correct number of significant digits. 16. 4.5 + 2.34 = ________________ 17. 4.5 – 5 = ___________________ 18. 6.00 + 3.411 = ______________ 19. 3.4 x 2.32 = _________________ 20. 7.77 / 2.3 = _________________ 21. 3.890 / 121 = ________________ 22. 1200 x 23.4 = ________________ 23. 78.5 + 0.0021 - 0.0099 = ___________________ 24. (3.4 x 8.90) x (2.3 + 9.002) = __________________ 25. (1.02 – 0.070) / (3200. x 0.02) = ___________________ 1 Metric Conversions Name________________________ Convert the following to km: 1) 1600.0 m = ____________ 4) 2050 cm 2) 1.033 Mm = ____________ 5) 245 565 mm = ____________ 3) 20 099 m = ____________ 6) 499 m Prefix Tera- Abbv T Value 1012 Giga- G 109 Mega- M 106 Km Hm Dam dm cm mm 1000 100 10 1 0.1 0.01 0.001 = ____________ = ____________ Convert the following: 9) 0.0325 kJ = ______________ cJ 21) 1202.5 mL = ____________L KiloHectoDecaUnit decicentimilli- 10) 0.42101 Gg = ____________Mg 22) 25.5 km = ____________m micro- μm 10-6 11) 0.12907 cm = ____________mm 23) 756 900 μs = ____________ms nano- nm 10-9 12) 5600.4 Ms = ____________Gs 24) 268 000 cm = ____________km pico- pm 10-12 13) 0.0075 Gm = ____________km 25) 0.00091 TL 14) 0.00046 ks = ____________cs 26) 244475.3 μs = ____________hs 15) 4096 MB = ____________GB 27) 210 hm 16) 0.0002 μg = ____________mg 28) 448.5 cg = ____________g 17) 0.00034 μL = ____________cL 29) 2103.55 s = ____________ks 18) 11 120.33 ng = ____________cg 30) 0.0000012 GL = ____________cL 7) 10.034 mJ = ____________cJ 19) 36.45 cL = ____________μL 8) 0.05 cm = ____________mm 20) 1024 mmol = __________dmol = ____________ML = ____________cm 2 Chemistry Conversions Name: ______________________ Stuff you need to know for any test/quiz 1m = 1000mm 1km = 1000m 1kg = 1000g khdudcm 1 mile = 5280 ft Others: 1 furlong = 40 rods 1 kg = 2.2 lbs. 1 peck = 2 gallons 1 rod = 16.5 feet 1 gallon = 8 pints 1 quart = 2 pints 1 pint = 16 oz 1 pint = 2 cups 1m = 100cm 1cm3 = 1ml 1 oz = 29.57 ml 1 lb = 7000 grains 1L = 1000ml 1 stone = 14 lbs 1 slug = 14.953 lb Setup the following conversions using a conversion factor. Check by using khdudcm (if you can). 1) 1.2mg = ?g 2) 6.3 miles = ?mm 3) 5.12m = ?inches 4) 12 kg = ? stone 5) 6.0012 pecks = ? quarts 6) 10 013cm = ? rods 7) 1 mile = ? furlongs 8) How many seconds are in two months? 3 9) 8 pints = ? ml 10) 30,000 grains = ? slug 11) 21 L = ? m3 12) 3658 ml = ? quarts 13) 37 𝑠𝑡𝑜𝑛𝑒𝑠 𝑚3 = ? g/ml 14) 0.056 lbs/cup = ? kg/L 15) 65 rods/min = ? miles/hr 16) 36 miles/gallon = ? km/L 17) Convert 6 km/hr to furlongs/fortnight 4 METRIC CONVERSION PROBLEMS 1 inch = 2.54 cm Ko = Co + 273 1 fortnight = 2 weeks Including non metric units Fo = 1.8Co + 32 1 ml = 1 cm3 1 kg = 2.2 lbs 1) 8.32 cg to mg 2) 40.4 Km to cm 3) 50.1 mm to Km 4) 4.8 lb to kg 5) 1200 m to miles 6) 6'4" to cm 7) 23Fo to K 8) -180 Co to K 9) 540K to Fo 10) 458Fo to Co 11) 8 m3 to L 12) 47.5 cm3 to L 13) 18.2 ml to cm3 14) 0.164 m to inches 15) 0.76 Dam to yards 16) 43 days to minutes 17) 3.8 years to fortnights 18) 1 year to seconds 5 A pane of glass has a volume of 22.6L. If the width of the glass is 46cm, and the height is 460cm, how thick is the glass? Darth Vader uses the force to throw a sphere of super-heated plasma toward Yoda the Jedi Master. Yoda using his Jedi reflexes and leaps out of the way, estimating the diameter of the sphere to be 14cm. (A) what is the volume of the sphere in L and m3? (B) If the density of the plasma is 0.10 g/ml what is the mass of the plasma? See the front for volume of sphere formula. A cylindrical tank is to be filled with 300,000 L of hydrochloric acid for industrial use and has to be 7 m tall. Calculate the diameter of the tank. Digitalis is a drug administered for the treatment of atrial fibrillation but is very toxic. Dosages are given in mg/kg meaning so many milligrams of digitalis for every kilogram of body mass of the patient. This way, an infant and an adult, although having different mass, will receive the same dosage. A common dosage is 20 mg/kg. If a person weighs 165 lb, how many mg of digitalis should be administered? 6 Volume, Density, and Percent Error Practice Problems Use conversion factors and/or pictures to solve the following problems. 1. A nicely sized fish tank contains about 20L of water. Convert to milliliters, cubic centimeters, and cubic meters. Remember the link between dimensional and liquid measures of volume. 2. A block measures 17dm by 32cm by 403mm. What is the volume of the block in Liters? 3. The density of a fishing canoe, with occupants, is designed to be about 0.50g/cm3. If the mass of a canoe is about 50kg and needs to hold two 80 kg adults, what must the volume of the canoe be (its displacement)? 4. A Nimitz class aircraft carrier has a mass of about 80 million kilograms (8.0E7kg). If the density of the ship is designed to be 950 kg/m3, what is the approximate volume of a Nimitz class carrier in cubic meters? 5. Jenny measures the mass of a copper bar at 15.67 g, and finds the sides are 2.9 x 1.3 x 0.5 cm. Copper has a known density of 8.96 g/cm3. Calculate Jenny’s density, find the absolute error and the percent error of her finding. 7