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NAME______________________ UNIT 1 HOMEWORK PACKET 1 yard = 0.9444 meters Scientific Notation Worksheet Convert the following numbers into scientific notation 1) 3,400 __________________________________________________ 2) 0.000023 ________________________________________________ 3) 101,000 _________________________________________________ 4) 0.010 ___________________________________________________ 5) 45.01 ___________________________________________________ 6) 1,000,000 ________________________________________________ 7) 0.00671 _________________________________________________ 8) 4.50 ____________________________________________________ Convert the following numbers into standard notation 9) 2.30 X 104 _______________________________________________ 10) 1.76 X 10-3 _____________________________________________ 11) 1.901 X 10-7 ____________________________________________ 12) 8.65 X 10-1 ______________________________________________________________________ 13) 9.11 X 103 _____________________________________________ 14) 5.40 X 101 _____________________________________________ 15) 1.76 X 100 _____________________________________________ 16) 7.4 X 10-5 ______________________________________________ 1 Metric Conversions Be sure to express each answer with the correct number of significant figures and label. 1. Calculate the number of kilometers that are in 105 meters. ____________________________________________________________ 2. How many meters are there in 2.43 X 10-5 kilometers (km)? ____________________________________________________________ 3. A piece of property is found to be 499 decimeters (dm) long what is the length in centimeters (cm) ______________________________________ 4. Calculate the number of kilometers in 1.549 micrometers (µm) _____________________________________________________________ 5. Calculate the length in centimeters (cm) of an object that is 7.8835 X 105 millimeters (mm) _______________________________________________ 6. How many millimeters are there in 5.97 X 10 -6 meters _____________________________________________________________ 7. How many decimeters (dm) are there in 8.06295 millimeters (mm)? _____________________________________________________________ 8. Calculate the number of centimeters (cm) there are in 6245101 _____________________________________________________________ 9. How many meters are there in 0.0031 kilometers (km)? _____________________________________________________________ 10. A very small object is found to have a length of 3.44 X 10-4. What is the length in micrometers (µm)? _____________________________________ 11. Calculate the number of milligrams (mg) there are in 10.00 kilograms (kg) _____________________________________________________________ 12. A book is found to have a mass of 0.6321 kilograms. Calculate the mass in grams ______________________________________________________ 13. How many decigrams (dg) are there in 0.822 micrograms (µg) _____________________________________________________________ 14. Expressed in centigrams (cg), the mass of an object is 458 cg. What is the object’s mass in milligrams (mg)? _________________________________ 15. Calculate the number of kilograms (kg) 7.66 X 105 grams (g). _____________________________________________________________ 16. How many kilograms (kg) are there in 2.023 X 10-3 milligrams? _____________________________________________________________ 2 Significant Figures 1. Round off each of these measurements to 3 significant figures A. 98.473 L ____________________________________________ B. 0.0076321 cg _________________________________________ C. 57.048 m _____________________________________________ D. 12.170C ______________________________________________ E. 7.4983 X 104 mm _______________________________________ F. 1764.9 ml _____________________________________________ 2. Round off each of the answers correctly A. 8.7 +15.43 + 19 g = ____________________________________ B. 4.32 X 1.7= ___________________________________________ C. 853.2L – 627.443L = ____________________________________ D. 38.742 / 0.421= ________________________________________ E. 5.4 m X 3.21m X 1.87m = ________________________________ F. 5.47 + 11 + 87.300= _____________________________________ 3. Water with a mass of 35.4 grams is added to an empty flask with a mass of 87.432 grams. The mass of the flask with the water is 146.72 grams after a rubber stopper is added. What is the mass of the stopper to the correct number of sig figs? ___________________________________________ 3 4. Which is larger? A. One centigram or one milligram? ___________________________ B. One liter or one centiliter? ________________________________ C. One calorie or on kilocalorie? ______________________________ D. One millisecond or one centisecond? _________________________ E. One microliter or one milliliter? _____________________________ 5. How many sig figs are in each of these measurements? A. 5.12g _______________________________________ B. 3.456 X 106 kg ________________________________ C. .000078 miles _________________________________ D. 0.04504 mm __________________________________ E. 985.20 K _____________________________________ F. 65.02 s _______________________________________ 6. Which of the following linear measurements is the longest? A. 6 X 104 cm _____________________________________ B. 6 X 106 mm _____________________________________ C. 0.06 km ________________________________________ D. 6 X 109 nm _____________________________________ 4 7. Identify the larger quantity in each of these pairs of measurements A. Centigram or milligram______________________________ B. Deciliter or kiloliter _________________________________ C. Millisecond or microsecond ___________________________ D. Micrometer or nanometer _____________________________ Rules for Counting Significant Figures 1. Nonzero integers always count as significant figures. 3456 has 4 sig figs. 2. Leading zeros do not count as significant figures. 0.048 has 2 sig figs 3. Captive zeros always count as significant figures. 16.07 has 4 sig figs 4. Trailing zeros are significant only if the number contains a decimal point. 9.300 has 4 sig figs, 150 has 2 sig figs. 5. Exact numbers have an infinite number of significant figures. 1 inch = 2.54 cm, exactly Rounding Rules 1. 5 and up round up 2. 4 and below round down 5 Conversions One Step conversions: 1. 4.5 hours =? minutes ___________________________________ 2. 206 cm =? meters _____________________________________ 3. 38 inches =? cm ______________________________________ 4. 0.25 gal=?L ___________________________________________ 5. 750 joules (j)=? Calories (cal) _____________________________ 6. 24,300g=? kg ___________________________________________ 7. 385,000 g =? mg ________________________________________ 8. 6.25 L= ? cm3 __________________________________________ 9. 0.88 nm=? in ___________________________________________ 10. 435,200 cal=? J _________________________________________ Multiple Step Conversions: 11. 8.5 yards=? cm ___________________________________________ 12. 12days=? sec ____________________________________________ 13. 55 gal=? ml ______________________________________________ 14. 2.75 X 105 µm=? in ________________________________________ 6 15. 220,000 sec=? years ________________________________________ 16. 0.37 miles=? meters ________________________________________ 17. 4.8 X 107 cm=? miles _______________________________________ 18. 955,600 ml=? gal __________________________________________ 19. 21 km=? ft _______________________________________________ 20. 55 miles=? µm ____________________________________________ 7