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Concept explainers
(a)
Interpretation:
The number 1.2735 should be rounded off to two significant figures.
Concept Introduction:
Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:
- Non-zero digits are considered as significant figures. (1 to 9)
- Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
- Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
- On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
- On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)
The rules for rounding off numbers are as follows:
- If the figure after the decimal is less than 5, then the digit remains unchanged.
- If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.
- If the figure after the decimal is even, then the digit remains unchanged.
- If the figure after the decimal is odd, then 1 is added to the tenths place.
(b)
Interpretation:
The number 0.00253622 should be rounded off to two significant figures.
Concept Introduction:
Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:
- Non-zero digits are considered as significant figures. (1 to 9)
- Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
- Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
- On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
- On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)
The rules for rounding off numbers are as follows:
- If the figure after the decimal is less than 5, then the digit remains unchanged.
- If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.
- If the figure after the decimal is even, then the digit remains unchanged.
- If the figure after the decimal is odd, then 1 is added to the tenths place.
(c)
Interpretation:
The number 3,836.9 should be rounded off to two significant figures.
Concept Introduction:
Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:
- Non-zero digits are considered as significant figures. (1 to 9)
- Zeros between non-zero digits are considered as significant figures. (for example, 2008 has four significant figures.)
- Zeros that are left to the decimal are not considered as significant figures. (for example, 0000.28 has two significant figures.)
- On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example, 0.0028 has two significant figures.)
- On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)
The rules for rounding off numbers are as follows:
- If the figure after the decimal is less than 5, then the digit remains unchanged.
- If the figure after the decimal is greater than 5 or equal to 5, then 1 is added to the tenths place.
- If the figure after the decimal is even, then the digit remains unchanged.
- If the figure after the decimal is odd, then 1 is added to the tenths place.
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Chapter 1 Solutions
EBK GENERAL, ORGANIC, & BIOLOGICAL CHEM
- I only need the last 2 figuresarrow_forwardRound off answers to the nearest thousandths. For answers that are less than one (in terms of its absolute value), include atleast 5 significant figures.arrow_forwardConsider the following problem. How should the answer be rounded, to accurately indicate correct significant figures? 3.1 x 5.342 = 16.5602arrow_forward
- Introduction to General, Organic and BiochemistryChemistryISBN:9781285869759Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar TorresPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning
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