1. Metrics, Significant Figures, Conversions, and Density Review! YEAH!

2. How Many Significant Figures Do I Have? 3.12050 3.12050 6 4.05 4.05 3 0.0020 0.0020 2 0.0101010100 0.0101010100 9 300 300 1 300. 300. 3

3. Question Two 457 km = ________ cm 457 km = ________ cm Move decimal 5 to the right: 45,700,000 Move decimal 5 to the right: 45,700,000

4. Question Three 14.6 yards = ____ ft 14.6 yards = ____ ft 14.6 yds x 3ft/1yd = 43.8 ft 14.6 yds x 3ft/1yd = 43.8 ft

5. Question Four Add, using correct significant figures Add, using correct significant figures 3.492 + 0.303 + 30.30 34.10 34.10

6. Question Five 37,854,120 mL = ______ L 37,854,120 mL = ______ L Move decimal 3 to the left, 37854.12 No zero because of sig figs Move decimal 3 to the left, 37854.12 No zero because of sig figs

7. Question 6 If the mass of an object is 124.589 grams and the density is 2.45 g/cm 3, what is the volume of the object? If the mass of an object is 124.589 grams and the density is 2.45 g/cm 3, what is the volume of the object? 124.589/2.45 = 50.9 cm 3 124.589/2.45 = 50.9 cm 3

8. Question 7 30,833 mg = ____ kg 30,833 mg = ____ kg Move decimal six to the left Move decimal six to the left 0.030833 kg 0.030833 kg

9. Question Eight 5  L = _____ mL 5  L = _____ mL Move decimal 3 to the left Move decimal 3 to the left 0.005 mL 0.005 mL

10. Question Nine The density of an object is 1.56 g/cm 3. What is the mass of this object when the volume is 12 L? The density of an object is 1.56 g/cm 3. What is the mass of this object when the volume is 12 L? Convert 12L  mL Convert 12L  mL 1.56 x 12,000 = 19,000 g 1.56 x 12,000 = 19,000 g

11. Question Ten 1.25 days = _______ s 1.25 days = _______ s 1.25 days x 24 hours x 60 min x 60 sec = 108000 s 1.25 days x 24 hours x 60 min x 60 sec = 108000 s

12. Question Eleven If I am measuring with a ruler in centimeters, how many digits past the decimal should I record? If I am measuring with a ruler in centimeters, how many digits past the decimal should I record? 2

13. Question Twelve How do I find the volume of a rectangular solid? How do I find the volume of a rectangular solid? L x W x H L x W x H

14. Question Thirteen I took the mass of a block of wood. The mass was 198 mg. I then measured the block and it was 14 cm wide, 3 cm high, and 17 cm long. What is the density of the wood? I took the mass of a block of wood. The mass was 198 mg. I then measured the block and it was 14 cm wide, 3 cm high, and 17 cm long. What is the density of the wood? Multiply L x W x H to get volume Multiply L x W x H to get volume 0.198/714 = 0.0003 g/cm 3 0.198/714 = 0.0003 g/cm 3

15. Question Fourteen 160 km 2 = _____ m 2 160 km 2 = _____ m 2 Normally you would move three to the right, but since it’s squared you’d do that twice… so 6 to the right Normally you would move three to the right, but since it’s squared you’d do that twice… so 6 to the right 1.6 x 10 8 m 2 1.6 x 10 8 m 2

16. Question Fifteen 156 cm 3 = _____ m 3 156 cm 3 = _____ m 3 Normally you would move two to the left, but since it’s cubed, you do that three times, so move six to the left Normally you would move two to the left, but since it’s cubed, you do that three times, so move six to the left 1.56 x 10 -4 m 3 1.56 x 10 -4 m 3

17. Question Sixteen One of the largest gold nuggets ever discovered was found in Australia in 1872. The nugget had a mass of 286 kg. Given that 19.32 g/cm 3 is the density of gold, calculate the volume of this nugget One of the largest gold nuggets ever discovered was found in Australia in 1872. The nugget had a mass of 286 kg. Given that 19.32 g/cm 3 is the density of gold, calculate the volume of this nugget Convert 286kg  286000 g Convert 286kg  286000 g 286000 / 19.32 = 14800 cm 3 286000 / 19.32 = 14800 cm 3

18. Question Seventeen I am measuring the length of a stirring rod and I get: 1.25 cm, 12.8 mm, and 0.129 m. The actual length of the stirring rod is 19.3 cm. Am I accurate? Am I precise? I am measuring the length of a stirring rod and I get: 1.25 cm, 12.8 mm, and 0.129 m. The actual length of the stirring rod is 19.3 cm. Am I accurate? Am I precise? You are not accurate because you did not get the correct number. You are also not precise because all measurements are not close to each other when converted. You are not accurate because you did not get the correct number. You are also not precise because all measurements are not close to each other when converted.

19. Question Eighteen I am measuring the mass of sodium chloride for an experiment. I obtain a measurement of 12.236 mL. What is wrong with the way I have reported this value? I am measuring the mass of sodium chloride for an experiment. I obtain a measurement of 12.236 mL. What is wrong with the way I have reported this value? Mass should be in units of grams, not milliliters Mass should be in units of grams, not milliliters

20. Question Nineteen 48°C = _____°F 48°C = _____°F °F = 9/5°C + 32 °F = 9/5°C + 32 9/5*48+32 = 120°F 9/5*48+32 = 120°F

21. Question Twenty 115°F = ______ K 115°F = ______ K °C = 5/9(°F -32) °C = 5/9(°F -32) 5/9(115-32) = 46.1°C 5/9(115-32) = 46.1°C K = °C + 273 K = °C + 273 46.1 + 273 = 319 K 46.1 + 273 = 319 K

22. Question Twenty - One Express 125,000,000,000 in scientific notation Express 125,000,000,000 in scientific notation 1.25 x 10 11 1.25 x 10 11

23. Question Twenty Two Express 0.0000008 in scientific notation Express 0.0000008 in scientific notation 8 x 10 -7 8 x 10 -7

24. Question Twenty Three What is 4.869 x 10 5 in decimal notation? What is 4.869 x 10 5 in decimal notation? 486,900 486,900

25. Question Twenty Four What is 5.21 x 10 -4 in decimal notation? What is 5.21 x 10 -4 in decimal notation? 0.000521 0.000521

26. Question Twenty Six 298 K = ____°F 298 K = ____°F 298K-273 = 25°C 298K-273 = 25°C 9/5(25)+32 = 77.0°F 9/5(25)+32 = 77.0°F

27. Question Twenty seven How many significant figures do I have? 12,000,000 How many significant figures do I have? 12,000,000 2

28. Question Twenty Eight How many significant figures do I have? How many significant figures do I have?10.0 3

29. Question Twenty Nine A sample has a volume of 12.5 L and a mass of 25.8 kg. What is its density in g/L? A sample has a volume of 12.5 L and a mass of 25.8 kg. What is its density in g/L? 25,800/12.5 = 2060 g/L 25,800/12.5 = 2060 g/L

30. Question Twenty Nine A student finds the density of carbon monoxide to be 1.62 g/cm 3. The accepted value is 1.12 g/cm 3. What is the percent error? A student finds the density of carbon monoxide to be 1.62 g/cm 3. The accepted value is 1.12 g/cm 3. What is the percent error? |1.12-1.62| / 1.12 x 100 = 44.6% |1.12-1.62| / 1.12 x 100 = 44.6%

31. Question Thirty One inch = 2.54 cm One inch = 2.54 cm 15.869 cm 3 = ____ in 3 15.869 cm 3 = ____ in 3 15.869 cm x 1/2.54 x 1/2.54 x 1/2.54 = 0.96839 in 3 15.869 cm x 1/2.54 x 1/2.54 x 1/2.54 = 0.96839 in 3

32. Question Thirty One If I am driving in a car at 65 miles/hour, what is my speed in meters/second If I am driving in a car at 65 miles/hour, what is my speed in meters/second 1 mile = 1.6 km 1 mile = 1.6 km 65 miles x 1.6 km/mile x 1000 m/km x 1hr/60min x 1min/60 sec = 29 m/s 65 miles x 1.6 km/mile x 1000 m/km x 1hr/60min x 1min/60 sec = 29 m/s

33. Question Thirty Two I am measuring the mass of calcium chloride for an experiment. I measure the mass three times, obtaining values of 125.46 g, 0.12455 kg, 124,999 mg. The actual mass is 1.25 x 10 8  g. Am I accurate? Am I precise? I am measuring the mass of calcium chloride for an experiment. I measure the mass three times, obtaining values of 125.46 g, 0.12455 kg, 124,999 mg. The actual mass is 1.25 x 10 8  g. Am I accurate? Am I precise? You are both accurate and precise You are both accurate and precise

34. Question Thirty Three I measure the volume of a liquid to be 124.56 mL. The actual volume is 12.8 cL. What is my percent error? I measure the volume of a liquid to be 124.56 mL. The actual volume is 12.8 cL. What is my percent error? Convert to the same unit first! Convert to the same unit first! |12.8 – 12.456| / 12.8 x 100 = 2.69% |12.8 – 12.456| / 12.8 x 100 = 2.69%

35. Question Thirty Four Convert 6.5 x 10 7 nm to cm. Convert 6.5 x 10 7 nm to cm. Nano to centi is seven to the left Nano to centi is seven to the left 6.5 cm 6.5 cm

36. Question Thirty Five 87 mm 2 = ____ dm 2 87 mm 2 = ____ dm 2 mm to dm is usually two steps to the left. Since it’s squared, you’ll move four spots to the left. mm to dm is usually two steps to the left. Since it’s squared, you’ll move four spots to the left. 0.0087 0.0087

37. Question Thirty Six Add, using proper sig figs Add, using proper sig figs 5.0385 + 8.9 + 14.203 = 5.0385 + 8.9 + 14.203 = 28.1 28.1

38. Question Thirty Seven The density of an object is 5.46 g/cm 3. Calculate the volume, in liters, of an object that has a mass of 540 mg. The density of an object is 5.46 g/cm 3. Calculate the volume, in liters, of an object that has a mass of 540 mg. 9.9 x 10 -5 L 9.9 x 10 -5 L

39. Question Thirty Eight The mass of an object is 65 dg. The density of the object is 4.392 g/L. What is the volume of the object in mL? The mass of an object is 65 dg. The density of the object is 4.392 g/L. What is the volume of the object in mL? 1500 mL 1500 mL

40. Don’t forget to study your equipment and reading equipment!! Don’t forget to study your equipment and reading equipment!!