Concept explainers
(a)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The answer will have two significant figures.
Explanation of Solution
The answer will have two significant figures, because number
(b)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The answer should have two significant figures.
Explanation of Solution
The answer will have two significant figures. According to Bodmas rule, if an expression contains brackets, we have to first solve or simplify the bracket then division, multiplication, addition and subtraction from left to right. So in the calculation divisor has addition calculation within brackets. However after the simplification divisor should have four significant figures. After the simplification, there is a division calculation. Because number
(c)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The final answer should have two decimal places and three significant figures.
Explanation of Solution
In addition and subtraction, limiting term is the one with smallest number of decimal places. Because
(d)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The answer should have three significant figures.
Explanation of Solution
The answer will have three significant figures. According to Bodmas rule, if an expression contains brackets, we have to first solve or simplify the bracket then division, multiplication, addition and subtraction from left to right. So in the calculation there is an addition calculation within brackets. After the simplification it should have two decimal places as
(e)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The answer should have one significant figure.
Explanation of Solution
The answer will have one significant figure. In addition and subtraction, limiting term is the one with smallest decimal places. Because
(f)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The answer should have two significant figures.
Explanation of Solution
The answer will have two significant figures. According to Bodmas rule, if an expression contains brackets, we have to first solve or simplify the bracket then division, multiplication, addition and subtraction from left to right. So in the calculation there is an addition calculation within brackets. After the simplification it should have one decimal place as
(g)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The final answer should have two significant figures.
Explanation of Solution
In multiplication and division, limiting term is the one with smallest number of significant figures. Because
(h)
Interpretation:
In the given calculation, number of significant figures that the final answer should have, following the calculation should be determined, without performing the actual calculation.
Concept Introduction:
In calculations, for multiplication or division, the number of significant figures in the result is same as that in the measurement with the smallest number of significant figures. So the measurement is limiting because it limits the number of significant figures in the results. For addition or subtraction, the limiting term is the one with the smallest number of decimal places.
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Answer to Problem 16CR
The final answer should have one decimal place with three significant figures.
Explanation of Solution
In addition and subtraction, limiting term is the one with smallest number of decimal places. Because
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Chapter 3 Solutions
INTRODUCTORY CHEMISTRY
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