Download NAME______________________ UNIT 1 HOMEWORK PACKET

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 ______________________________________________
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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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