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.
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.
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.
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.
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.
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.
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.
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.
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: A Foundation
- Without actually solving, indicate the number of significant figures that should be present in the answers to the following multiplication and division problems. a. 3.00 0.0003 30.00 b. 0.3 0.30 3.0 c. 6.0033,000 d. 6.000003arrow_forwardWhen a large or small number is written in standard scientific notation, the number is expressed as the product of a number between 1 and 10, multiplied by the appropriate power of 10. For each of the following numbers, indicate what power of 10 would be appropriate when expressing the numbers in standard scientific notation. a. 84,961,306 b. 0.4870 c. 0.000033812 d. 3,890,406,000,000arrow_forwardA basketball game at the University of Connecticut's Gampel Pavilion attracted 10,000 people. The building's in-terior floor space has an area of 1.71105 ft2. Tickets to the game sold for $22.00. Senior citizens were given a 20% discount. How many significant figures are there in each quantity? (Your answer may include the words ambiguous and exact.)arrow_forward
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- For each of the following numbers, by how many places must the decimal point be moved to express the number in standard scientific notation? In each case, will the exponent be positive, negative, or zero? 55,651 0.000008991 2.04 883,541 0.09814arrow_forwardFor each of the following numbers, if the number is rewritten in scientific flotation, will the exponent of the power of 10 be positive, negative, or zero? 1/103 0.00045 52,550 7.21 1/3arrow_forwardWhich of the following are exact numbers? a. There are 100 cm in 1 m. b. One meter equals 1.094 yards. c. We can use the equation F=95C+32 to convert from Celsius to Fahrenheit temperature. Are the numbers 95 and 32 exact or inexact? d. = 3.1415927.arrow_forward
- How many significant figures are contained in each of the following measurements? 38.7 g 21018m 3,486,002 kg 9.74150104J 0.0613cm3 17.0 kg 0.01400 g/mLarrow_forwardWhen each of the following measurements of mass is converted to grams, using a conversion factor obtained from the relationship 1 pound = 453.6 grams, how many significant figures should the answer have? a. 6.4 lb b. 3.2091 lb c. 0.400040 lb d. 423,000 lbarrow_forward
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