Concept explainers
(a)
The number of significant figures in 454g.
(a)
Answer to Problem 1E
Solution:
3
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The use of significant figures is known to be reasonably reliable. The nonzero digits are always significant.
Explanation:
The significant figures for the quantity, 454 g, are 4, 5, and 4 as all are nonzero digits and nonzero digits are always significant. Thus, the quantity, 454 g, has three significant figures.
Conclusion:
The number of significant figures in the quantity, 454 g, is 3.
(b)
The number of significant figures in 2.2 N.
(b)
Answer to Problem 1E
Solution:
2
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The use of significant figures is known to be reasonably reliable. The nonzero digits are always significant.
Explanation:
The significant figures for the quantity, 2.2 N, are 2 and 2 as both are nonzero digits and nonzero digits are always significant. Thus, the quantity, 2.2 N, has two significant figures.
Conclusion:
The number of significant figures in the quantity 2.2 N is 2.
(c)
The number of significant figures in 2.205 N.
(c)
Answer to Problem 1E
Solution:
4
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits and the number 0between two nonzero digits are significant.
Explanation:
The significant figures for the quantity, 2.205 N, are 2, 2, 0, and 5. This is because the numbers 2, 2, and 5 are nonzero digits. Also, the digit 0 is between 2 and 5. Thus, all the digits 2, 2, 0, and 5 are significant and hence the quantity, 2.205 N, has four significant figures.
Conclusion:
The number of significant figures in the quantity 2.205 N is 4.
(d)
The number of significant figures in 0.3937 s.
(d)
Answer to Problem 1E
Solution:
4
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits are always significant. And, the number zero, when used to fix the decimal point, can never be significant.
Explanation:
The significant figures for the quantity, 0.3937 s, are 3, 9, 3, and 7. This is because the numbers 3, 9, 3, and 7 are nonzero digits. Also, the digit 0 is used to fix the decimal point and is, thus, not significant. The number 0.3937 can be written in the exponential form as
Conclusion:
The number of significant figures in the quantity, 0.3937 s, is 4.
(e)
The number of significant figures in 0.0353m.
(e)
Answer to Problem 1E
Solution:
3
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits are always significant. Also, the number zero, when used to fix the decimal point, can never be significant.
Explanation:
The significant figures for the quantity, 0.0353 m, are 3, 5, and 3. This is because the numbers 3, 5, and 3 are all nonzero digits. Also, the digit 0 is used to fix the decimal point and is, thus, not significant. The number, 0.0353, can be written in the exponential form as
Conclusion:
The number of significant figures in the quantity, 0.0353 m, is 3.
(f)
The number of significant figures in 1.0080 hr.
(f)
Answer to Problem 1E
Solution:
5
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits, the number zero between two significant figures, and the trailing zeros in the decimal portion are significant.
Explanation:
The significant figures for the quantity,
Conclusion:
The number of significant figures in the quantity,
(g)
The number of significant figures in 14.0 A.
(g)
Answer to Problem 1E
Solution:
3
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits and the trailing zeros in the decimal portion are significant.
Explanation:
The significant figures for the quantity, 14.0 A, are 1, 4, and 0. This is because the numbers 1 and 4 are nonzero digits and the number 0trails the decimal portion. Thus, the quantity, 14.0 A, has three significant figures.
Conclusion:
The number of significant figures in the quantity, 14.0 A, is 3.
(h)
The number of significant figures in
(h)
Answer to Problem 1E
Solution:
2
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits are always significant. Also, the number 0thatis used to fix the decimal point can never be significant.
Explanation:
The significant figures for the quantity
Conclusion:
The number of significant figures in the quantity,
(i)
The number of significant figures in
(i)
Answer to Problem 1E
Solution:
4
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits are always significant. Also, the number 0thatis used to fix the decimal point can never be significant.
Explanation:
The significant figures for the quantity
Conclusion:
The number of significant figures in the quantity,
(j)
The number of significant figures in
(j)
Answer to Problem 1E
Solution:
4
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits and the number 0between two significant figures are significant.
Explanation:
The significant figures for the quantity,
Conclusion:
The number of significant figures in the quantity,
(k)
The number of significant figures in
(k)
Answer to Problem 1E
Solution:
6
Explanation of Solution
Introduction:
Significant figures of a number are the number of digits with a meaningful contribution to the measurement. The nonzero digits are significant, and the trailing zeros in the decimal portion are significant.
Explanation:
The significant figures for the quantity, 125,000 N, are 1, 2, 5, and 0. This is because the numbers 1, 2, and 5 are all non-zero digits. Now, when the quantity, 125,000 N, is measured to the nearest newton, the zeros in the right portion after 5 are also significant. Thus, the quantity 125,000 Nrepresents six significant figures.
Conclusion:
The number of significant figures in the quantity, 125,000, is 6.
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Chapter A Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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