Textbook Question
How many significant figures are in each of the following measurements? (f) 3.8200⨉103 L
Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry8th EditionChemistryISBN: 9781292336145
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Table of contents
- Ch.1 - Chemical Tools: Experimentation & Measurement170
- Ch.2 - Atoms, Molecules & Ions160
- Ch.3 - Mass Relationships in Chemical Reactions169
- Ch.4 - Reactions in Aqueous Solution199
- Ch.5 - Periodicity & Electronic Structure of Atoms102
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory92
- Ch.7 - Covalent Bonding and Electron-Dot Structures61
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure59
- Ch.9 - Thermochemistry: Chemical Energy122
- Ch.10 - Gases: Their Properties & Behavior155
- Ch.11 - Liquids & Phase Changes54
- Ch.12 - Solids and Solid-State Materials73
- Ch.13 - Solutions & Their Properties120
- Ch.14 - Chemical Kinetics98
- Ch.15 - Chemical Equilibrium125
- Ch.16 - Aqueous Equilibria: Acids & Bases110
- Ch.17 - Applications of Aqueous Equilibria147
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium86
- Ch.19 - Electrochemistry154
- Ch.20 - Nuclear Chemistry96
- Ch.21 - Transition Elements and Coordination Chemistry156
- Ch.22 - The Main Group Elements187
- Ch.23 - Organic and Biological Chemistry51
Chapter 1, Problem 86e
How many significant figures are in each of the following measurements? (e) 67,000 m2
Verified step by step guidance1
Identify the given measurement: 67,000 m^2.
Determine if there is a decimal point present in the number. In this case, there is no decimal point.
Recognize that without a decimal point, trailing zeros are not considered significant.
Count the non-zero digits, which are significant. Here, '67' are the non-zero digits.
Conclude that the number of significant figures in 67,000 m^2 is 2.
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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 only when there is a decimal point. Understanding significant figures is crucial for accurately reporting measurements in scientific contexts.
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Significant Figures Example
Rules for Counting Significant Figures
There are specific rules for determining the number of significant figures in a measurement. For example, leading zeros are not counted, while captive zeros (zeros between non-zero digits) are significant. Trailing zeros are significant only if the number contains a decimal point, which is essential for interpreting the precision of the measurement.
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Scientific Notation
Scientific notation is a way of expressing numbers that are too large or too small in a more manageable form, typically in the format of 'a × 10^n', where 'a' is a number between 1 and 10, and 'n' is an integer. This notation helps clarify the number of significant figures, especially in cases where trailing zeros may be ambiguous in standard decimal notation.
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Related Practice
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