1. SIGNIFICANT DIGITS--DETERMINE NOW MANY SIG FIGS …
SIGNIFICANT FIGURES WORKSHEET 060102 Page 1
I. SIGNIFICANT DIGITS--DETERMINE HOW MANY SIG FIGS ARE IN:
1. 45.6 2. 307. 5 3. 0.345 4. 123.005
5. 0.0336 6. 0 .3075 7. 300 8. 300.0
9. 303 10. 300.00 11. 3030 12. 0.654
13. 0.006 14. 0.0303 15. 0.0668 16. 0.200
17. 0.0600 18. 0.02 19. 40500 20. 0.0001
II. PROBLEMS WITH SIG FIGS. PUT THE CALCULATED ANSWER FIRST,
THEN, PUT THE CORRECT NUMBER OF SIG FIGS IN THE RIGHT MARGIN.
1. 6.57 + 13.1 + 1453992 =
2. 140.6 X 0.066 =
3. 305 + 398.6 + 0.2 =
4. 345.66 + 0.2222222 =
5. 350 - 245.332 =
6. 6000 X 2.258 =
7. 5.60 X 2 + 7.444 =
8. 89.999 / 0.442 + 89 =
9. 2000 / 89 + 2.33 + 405 =
10. 5.625452 X 20000 =
Ill. EXPRESS THE FOLLOWING NUMBER IN SCIENTIFIC NOTATION.
1. 678000 2. 1025875 3. 0.005605
4. 100004587 5. 0.000001 6. 777777777
7. 45.222 8. 5789.456 9. 0.25484
10. 0.000000000045 11. 456.2 12. 5.622
13. 4554.22 14. 741.159 15. 5656.1
16. 0.00560 17. 13733.2987 18. 9
19. 25 X 103 20. 963
PAGE 2
IV. SIGNIFICANT FIGURES: In each of the following measurements, determine the number
of significant digits and underline each of them.
1) 1.030 cm 6) 0.040500 m 11) 300 m
2) 2,074,000.0 s 7) 601,500 km 12) 300 m
3) 0.00080 kg 8) 1,570,560 cm 13) 303 m
4) 0.00001 g 9) 47,060 kg 14) 3030 m
5) 367.52 g 10) 0.1020 L 15) 3.00654 m
V. SCIENTIFIC NOTATION: Express the following number in the correct scientific notation.
Make sure the significant figures are also correct.
1) 678000 = 6) 145.9 X 102 =
2) 10245.76 = 7) 60.70 X 10-1 =
3) 24.087 = 8) 60.7 X 10 1 =
4) 570.80 = 9) 0.000060 =
5) 0.897 = 10) 235.8 X 10-7
VI. EXPRESS THE FOLLOWING NUMBERS IN POSITIONAL OR STANDARD
NOTATION.
1. 6.022045 X 10 23 2. 1.05602 X 10 2
3. 2.7316 X 10 2 4. 2.2 X 10 4
5. 1.4 X 10 -8 6. 0.00078 X 10 5
7. 0.0098 X 10 4 8. 0.25879 X 10 4
9. 123.2 X 10 3 10. 89.36 X 10 4
PAGE 3
VII. Calculate the following with correct significant numbers and order of operation.
1. 6.57 + 13.1 + 145.689 =
2. 140.6 + 0.067 + 2.759 + 138 =
3. 305 + 398.6 + 104.78 + 0.068 =
4. 345.98 + 450 + 6572 + 45.897 =
5. 75.89 - 6.208 =
6. 6000 - 2587.6 =
7. 6000 - 2587.6 =
8. 248.9 + 405 - 240 =
9. 24.5 X 15.67 X 0.0034 =
10. 13.45 X 20.64 X 1.4 =
11. 5.60 X 0.0005234 X 256.8 =
12. 568.9 / 45.6 =
13. 2000 / 1380 =
14. 67.90 / 1356.8 X 25.795 =
VIII. MAKE THE FOLLOWING CALCULATIONS. EXPRESS YOUR ANSWER IN THE
CORRECT SIGNIFICANT NUMBERS AND SCIENTIFIC NOTATION.
1) (6.02 X 10 3 ) (2.3 X 10 5 ) = 6) 3.95 x 10 6 =
3.5 x 10 -8
2) (1.4 X 10 -5 ) (2.4 X 10 -3 ) = 7) 6.8 X 10 3
8.7 X 10 -3
3) (3.65 X 10 -8 ) (3.42 X 10 5 ) = 8) (1.5 X 10 6 ) (6.9 X 10 8 ) =
(6.78 X 10 -3 ) (5.9 X 10 8 )
4) 6.09 x 10 9 = 9) (2.69 X 10 9 ) ( 4 X 10 1 ) =
2.5 x 10 6 (1.2 X 10 6 ) (9.23 X 10 0 )
5) 3.78 x 10 -8 = 10) (23.56 X 10 6 ) (5.6 X 10 -2 ) =
7.8 X 10 -2 (2.333 X 10-4 ) (8.0 X 10 -1 )
PAGE 4
A) CONVERT THE FOLLOWING TO MILLIGRAMS:
1 ) 165.3 g 3) 1.06 cg 5) 41..05 cg
2 ) 0.00238 g 4) 0.042 Mg 6) 13.52 g
B) CONVERT THE FOLLOWING TO CENTIGRAMS:
1) 938 mg 3) 228 mg 5) 0.28 dg 7) 0. 31 kg
2) 19.3 g 4) 243.2 g 6) 8.5 dg 8) 4.2 ug
C) CONVERT THE FOLLOWING TO DECIGRAMS:
1) 73.456 cg 3) 0.041 g 5) 124.0 mg 7) 0.895 kg
2) 36.9 mg 4) 1.52 g 6) 142.81 g 8) 23 cg
D) CONVERT THE FOLLOWING TO GRAMS:
1) 41.5 cg 3) 28.5 cg 5) 14. 587 mg 7) 28.3 dg
2) 0.9785 kg 4) 75.3 cg 6) 9.9 kg 8) 423 mg
9) 13.4 mg
E) CONVERT THE FOLLOWING TO KILOGRAMS:
1) 24 50 g 3) 139.9 g 5) 65.4 cg
2) 147. 2 Mg 4) 283 mg
F) CONVERT THE FOLLOWING TO LITERS:
1) 182 ml 5) 22. 9 cc 9) 250 cc
2) 0.895 kl 6) 43.2 ml
3) 135.3 ml 7) 158 ml
4) 750 ml 8) 28 cc
G) CONVERT THE FOLLOWING TO MILLILITERS:
1) 14.2 L 3) 0.323 kl 5) 0.416 L 7) 243 cc
2) 2.5901 L 4) 148 cc 6) 4.38 Ml
H) CONVERT THE FOLLOWING TO MILLIMETERS:
1) 85.4 cm 3) 14.2 dm 5) 7.68 m
2) 234.5 km 4) 31.9 cm
PAGE 5
I) CONVERT THE FOLLOWING TO CENTIMETERS .
1) 3.67 dm 3) 36 dm 5) 0.85 m
2) 124 mm 4) 85.9 m
J) CONVERT THE FOLLOWING TO DECIMETERS:
1) 14.5 m 3) 57m 5) 0.0628 mm
2) 5.15 mm 4) 14.4 cm
K) CONVERT THE FOLLOWING TO METERS:
1) 78.5 cm 3) 34.4 mm 5) 0.99 mm
2) 39 dm 4) 0.468 km
L) CONVERT THE FOLLOWING TO KILOMETERS:
1) 23.896 cm 3) 562.0 dm
2) 6.7 m 4) 129 mm
M) CONVERT THE FOLLOWING TO KILOMETERS:
1) 16.5 cm 5) 1.561 cm
2) 92.4 cm 6) 1.561 dm
3) 16 dm 7) 41. 67 cm
4) 0.95 dm 8) 67.9 mm
9) 1.2 mm
10) 50 nm
N) CONVERT THE FOLLOWING TO MILLIMETERS:
1) 16 km 6) 0.005 km
2) 32 nm 7) 0.195 nm
3) 90 dm 8) 22255 nm
4) 94.6 km 9) 642 m
5) 0.061 cm 10) 8 Mm
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