Significant Figures Practice Worksheet How many significant figures do the following numbers have? Hw 1) 1234 4 1. 0.02 2) 0.023 2 2. 0.020 3) 890 2 3. 501

General, Organic, and Biological Chemistry
7th Edition
ISBN:9781285853918
Author:H. Stephen Stoker
Publisher:H. Stephen Stoker
Chapter2: Measurements In Chemistry
Section2.4: Uncertainty In Measurement And Significant Figures
Problem 3QQ
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Significant Figures Practice Worksheet
How many significant figures do the following numbers have?
1234 4
Hw
1)
1. 0.02
2)
0.023 2
2. 0.020
3)
890 2
3. 501
4)
91010 4
4. 501.0
5)
9010.05
5. 5,000
6)
1090.0010 8
6. 5,000.
7)
0.00120 3
7: 6,051.00
8)
3.4 x 10 2
8. 0.0005
9)
9.0 x 103 2
9. 0.1020
10)
9.010 x 102 y
10. 10,001
11)
0.00030 1
12)
1020010 _6
11. 8040
13)
780.
3.
12. 0.0300
14)
1000 1
13. 699.5
15)
918.010 b
14. 2.000 x 102
16)
0.0001 1
15. 0.90100
17)
0.00390
16. 90,100
18)
8120 3
17. 4.7 x 108
19)
7.991 x 1010 4
18. 10,800,000.
20) 72 2
19. 3.01 x 1021
10. 0.000410
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Transcribed Image Text:Significant Figures Practice Worksheet How many significant figures do the following numbers have? 1234 4 Hw 1) 1. 0.02 2) 0.023 2 2. 0.020 3) 890 2 3. 501 4) 91010 4 4. 501.0 5) 9010.05 5. 5,000 6) 1090.0010 8 6. 5,000. 7) 0.00120 3 7: 6,051.00 8) 3.4 x 10 2 8. 0.0005 9) 9.0 x 103 2 9. 0.1020 10) 9.010 x 102 y 10. 10,001 11) 0.00030 1 12) 1020010 _6 11. 8040 13) 780. 3. 12. 0.0300 14) 1000 1 13. 699.5 15) 918.010 b 14. 2.000 x 102 16) 0.0001 1 15. 0.90100 17) 0.00390 16. 90,100 18) 8120 3 17. 4.7 x 108 19) 7.991 x 1010 4 18. 10,800,000. 20) 72 2 19. 3.01 x 1021 10. 0.000410 http://www.chemfiesta.com
USE OF SIGNIFICANT FIGURES
ZEROS AS SIGNIFICANT FIGURES - In measurements that have been reported correctly, all
nonzero numbers are significant figures. A zero may or may not be a significant figure, depending
upon its position and function as part of the number.
1.
Zeros which appear in the front portion of a number are neyer significant figures.
Example: 0.0039 has two significant figures because the zeros are used to determine the
decimal point.
2.
Zeros which appear between nonzero digits of a mumber are always significant figures.
Example: 0.304 and 0.0203 both have three significant figures.
Zeros at the end of a mimber may or may not be significant figures. They are significant if
they are followYed by a decimal point (1600.), or if they are to the right of the decimal
point (16.00). Both 1600. And 16.00 have four significant figures.
In a mumber with an understood decimal point, the final zeros are considered to be
indicators of the decimal point and are not significant
Example: 16,000 has two significant figures.
4.
A)
How many significant figures in each of the following?
3.
a) 2077
b) 20,77
c) 20770
d) 0,207
e) .2070
f) 0.00207
8).0020
2000
h) 4.0020
i) 3.000
) 3,000
In doing calculations involving measured values, we must express our results so that they contain
only the number of significant figures justified by the certainty of the original measurements. It is
frequently necessáry to round off numbers so that the result doesn't appear to be more certain
than the original measurements.
ROUNDING OFF RULES
When the number dropped is less than 5, the preceding mumber remains unchanged.
Example: 8.3734 when expressed to 3 significant figures becomes 8.37.
2.
When the number dropped is 5 or more, the preceding number is increased by 1.
Example: 3.6287 when expressed to 3 significant figures is 3.63.
B)
Round off each of the following numbers to four significant figures.
a) 125,639
b) .012544
c) 12575
· d) 0.12556
e) 125,668
f) 12565
Transcribed Image Text:USE OF SIGNIFICANT FIGURES ZEROS AS SIGNIFICANT FIGURES - In measurements that have been reported correctly, all nonzero numbers are significant figures. A zero may or may not be a significant figure, depending upon its position and function as part of the number. 1. Zeros which appear in the front portion of a number are neyer significant figures. Example: 0.0039 has two significant figures because the zeros are used to determine the decimal point. 2. Zeros which appear between nonzero digits of a mumber are always significant figures. Example: 0.304 and 0.0203 both have three significant figures. Zeros at the end of a mimber may or may not be significant figures. They are significant if they are followYed by a decimal point (1600.), or if they are to the right of the decimal point (16.00). Both 1600. And 16.00 have four significant figures. In a mumber with an understood decimal point, the final zeros are considered to be indicators of the decimal point and are not significant Example: 16,000 has two significant figures. 4. A) How many significant figures in each of the following? 3. a) 2077 b) 20,77 c) 20770 d) 0,207 e) .2070 f) 0.00207 8).0020 2000 h) 4.0020 i) 3.000 ) 3,000 In doing calculations involving measured values, we must express our results so that they contain only the number of significant figures justified by the certainty of the original measurements. It is frequently necessáry to round off numbers so that the result doesn't appear to be more certain than the original measurements. ROUNDING OFF RULES When the number dropped is less than 5, the preceding mumber remains unchanged. Example: 8.3734 when expressed to 3 significant figures becomes 8.37. 2. When the number dropped is 5 or more, the preceding number is increased by 1. Example: 3.6287 when expressed to 3 significant figures is 3.63. B) Round off each of the following numbers to four significant figures. a) 125,639 b) .012544 c) 12575 · d) 0.12556 e) 125,668 f) 12565
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