Textbook Question
How many significant figures are in each of the following measurements? (a) 35.0445 g
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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry8th EditionChemistryISBN: 9781292336145
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Table of contents
- Ch.1 - Chemical Tools: Experimentation & Measurement143
- Ch.2 - Atoms, Molecules & Ions134
- Ch.3 - Mass Relationships in Chemical Reactions149
- Ch.4 - Reactions in Aqueous Solution157
- Ch.5 - Periodicity & Electronic Structure of Atoms92
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory73
- Ch.7 - Covalent Bonding and Electron-Dot Structures47
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure51
- Ch.9 - Thermochemistry: Chemical Energy104
- Ch.10 - Gases: Their Properties & Behavior138
- Ch.11 - Liquids & Phase Changes43
- Ch.12 - Solids and Solid-State Materials56
- Ch.13 - Solutions & Their Properties98
- Ch.14 - Chemical Kinetics79
- Ch.15 - Chemical Equilibrium107
- Ch.16 - Aqueous Equilibria: Acids & Bases94
- Ch.17 - Applications of Aqueous Equilibria125
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium66
- Ch.19 - Electrochemistry130
- Ch.20 - Nuclear Chemistry73
- Ch.21 - Transition Elements and Coordination Chemistry122
- Ch.22 - The Main Group Elements155
- Ch.23 - Organic and Biological Chemistry43
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.
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.
Recommended video:
Guided course
01:09
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.
Recommended video:
Guided course
04:40Significant Figures Rules
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.
Recommended video:
Guided course
02:50Standard Notation to Scientific Notation
Related Practice
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How many significant figures are in each of the following measurements? (f) 3.8200⨉103 L
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Textbook Question
How many significant figures are in each of the following measurements? (b) 2000.003 g
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Textbook Question
How many significant figures are in each of the following measurements? (c) 0.030 03 kg
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Textbook Question
How many significant figures are in each of the following measurements? (c) 5 ft 3 in.
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Textbook Question
How many significant figures are in each of the following measurements? (d) 0.004 50 m
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