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NAME______________________

UNIT 1

HOMEWORK

PACKET

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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 ______________________________________________

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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? _____________________________________________________________

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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? ___________________________________________

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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 _____________________________________

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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

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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 ________________________________________

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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 ____________________________________________

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1 yard = 0.9444 meters

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