Textbook Question
Calculate to the correct number of significant figures. d. 453 ÷ 2.031
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Ch.1 - Matter, Measurement & Problem Solving
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831
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Table of contents
- Ch.1 - Matter, Measurement & Problem Solving107
- Ch.2 - Atoms & Elements100
- Ch.3 - Molecules, Compounds & Chemical Equations127
- Ch.4 - Chemical Quantities & Aqueous Reactions114
- Ch.5 - Gases103
- Ch.6 - Thermochemistry92
- Ch.7 - Quantum-Mechanical Model of the Atom50
- Ch.8 - Periodic Properties of the Elements89
- Ch.9 - Chemical Bonding I: The Lewis Model84
- Ch.10 - Chemical Bonding II: Molecular Shapes & Valence Bond Theory74
- Ch.11 - Liquids, Solids & Intermolecular Forces60
- Ch.12 - Solids and Modern Material50
- Ch.13 - Solutions90
- Ch.14 - Chemical Kinetics111
- Ch.15 - Chemical Equilibrium65
- Ch.16 - Acids and Bases135
- Ch.17 - Aqueous Ionic Equilibrium145
- Ch.18 - Free Energy and Thermodynamics92
- Ch.19 - Electrochemistry100
- Ch.20 - Radioactivity and Nuclear Chemistry68
- Ch.21 - Organic Chemistry121
Chapter 1, Problem 84c
Calculate to the correct number of significant figures. c. 4.005 × 74 × 0.007
Verified step by step guidance1
Identify the number of significant figures in each number: 4.005 has 4 significant figures, 74 has 2 significant figures, and 0.007 has 1 significant figure.
When multiplying numbers, the result should have the same number of significant figures as the number with the fewest significant figures.
Multiply the numbers: 4.005 \(\times\) 74 \(\times\) 0.007.
Determine the number of significant figures for the final result based on the number with the fewest significant figures, which is 1 in this case.
Round the calculated result to 1 significant figure.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Significant Figures
Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and calculations in chemistry, as it reflects the precision of the data used.
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Significant Figures Example
Multiplication and Significant Figures
When multiplying numbers, the result should be reported with the same number of significant figures as the factor with the least significant figures. This rule ensures that the precision of the result is not overstated. For example, if one number has three significant figures and another has two, the final answer should be rounded to two significant figures.
Rounding Rules
Rounding rules dictate how to adjust numbers to the correct number of significant figures. If the digit to be dropped is less than five, the last retained digit remains unchanged; if it is five or greater, the last retained digit is increased by one. Mastering these rules is essential for ensuring that calculations maintain the appropriate level of precision.
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Related Practice
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Calculate to the correct number of significant figures. a. 0.004 + 0.09879 b. 1239.3 + 9.73 + 3.42 c. 2.4 - 1.777
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Textbook Question
Calculate to the correct number of significant figures. a. 0.004 + 0.09879 b. 1239.3 + 9.73 + 3.42 c. 2.4 - 1.777 d. 532 + 7.3 - 48.523
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Calculate to the correct number of significant figures. a. 9.15 ÷ 4.970 b. 1.54 × 0.03060 × 0.69 c. 27.5 × 1.82 ÷ 100.04 d. (2.290 × 106) ÷ (6.7 × 104)
Textbook Question
Calculate to the correct number of significant figures. b. (5.01×105) / (7.8×102)
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