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Name: _____________ Chem Test Review – Math and Measurement 1) _____ Big Billy has 35 jelly beans. Knowledgeable Nelly has three times as many jelly beans as Big Billy. If you have only one fifth as many as Nelly, how many jelly beans do you have? a) 21 jelly beans b) 525 jelly beans c) 105 jelly beans d) 15 jelly beans 2) _____ How many millimeters are there in 3.45 decimeters? a) 34.5 mm b) 0.0345 mm c) 345 mm d) 3450 mm 3) _____ The prefix “Mega-” is mathematically equal to… a) 1 x 103 b) 10,000,000 c) 1 x 106 d) 1 x 10-5 c) 1,000 cm2 d) 10,000 cm2 4) _____ How many cm2 are there in 1 m2? a) 10 cm2 b) 100 cm2 5) _____ An order of large fries has 324 Calories, how many joules are in the fries? 1 Calorie = 4,200 joules a. 77.5 joules c. 1.36 x 106 joules b. 1,360 joules d. 1.36 joules 6) If you are using a meter stick with centimeters numbered and millimeters marked off, how many decimal places can you be sure of when you record your measurement in meters? Which digit(s) is/are estimated? Which digit(s) is/are known? 7) Why is a measured number never exact? 8) Write these values with three significant figures. a. 345,345,350 seconds b. 34,587 minutes c. 0.00023432 m d. 3,450 years 9) Give the number of significant figures for each of these values: a. 0.00234 grams b. 1,000 Kelvin c. 10.00 kilometers d. 0.340 m 10) Complete the following mathematical operations with the correct number of significant figures in your answer: a. 3.45 grams + 3.7 grams + 17.0 grams = c. 3.453 grams = 6.45 mL b. 37.56 seconds – 0.56 minute = d. 4.56 m x 4.00 m = 11) Write the following values in scientific notation: a. 4,400 meters c. 0.0055 years b. 4,950,000,000,000,000 atoms d. 0.0000000003400 kg 12) Complete the following mathematical operations: a. 4.6 x 1012 meters 4.99 x 1024 seconds Answers: 1. A 2. A 3. C 4. C b. 4.5 x 10-3 kg 6.9245 x 10-4 L 5. C 6. If you are using a meter stick with centimeters numbered and millimeters marked off, how many decimal places can you be sure of when you record your measurement in meters? I would be able to record to the 0.01 m mark with certainty. Which digit(s) is/are estimated? I could estimate one more place beyond the hundredths place (0.001m) Which digit(s) is/are known? The ones, tenths, and hundredths are all known. 7. Why is a measured number never exact? A measured number is never exact because all measurement have estimations in them. The tools we use have limits. 8. Write these values with three significant figures. 345,000,000 seconds 34,600 minutes 0.000234 m 3,450 years 9. Give the number of significant figures for each of these values: b. 0.00234 grams b. 1,000 Kelvin c. 10.00 kilometers 3 sig figs 1 sig fig 4 sig figs d. 0.340 m 3 sig figs 10. a. 24.15 rounded to 24.1 grams b. 0.626 min – 0.56 mn =0.066 min rounded to 0.07 min c. = 0.535 g/mL d = 18.2 m2 11. Sci. Not a. 4.4 x 103 m d. 3.400 x 10-10 kg 12. a. 9.2 x10-13 m/ s c. 5.5 x 10-3 years b. 4.95 x 1015 atoms b. 6.5 kg/L