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 86d
How many significant figures are in each of the following measurements? (d) 0.004 50 m
Verified step by step guidance1
Identify all non-zero digits in the measurement, as they are always significant.
Recognize that any zeros between non-zero digits are also significant.
Note that leading zeros, which are zeros that precede all non-zero digits, are not significant.
Apply these rules to the given measurement: 0.004 50 m.
Count the significant figures: the non-zero digits and any zeros between them.
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 in scientific contexts.
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Significant Figures Example
Leading Zeros
Leading zeros are the zeros that precede all non-zero digits in a number. They are not considered significant because they do not affect the precision of the measurement. For example, in the number 0.00450, the leading zeros (0.00) do not count towards the significant figures.
Trailing Zeros in Decimal Numbers
Trailing zeros in a decimal number are significant because they indicate the precision of the measurement. For instance, in the measurement 0.00450 m, the two trailing zeros after the 5 are significant, indicating that the measurement is precise to the thousandths place.
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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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How many significant figures are in each of the following measurements? (e) 67,000 m2
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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
What is the difference in mass between a nickel that weighs 4.8 g and a nickel that weighs 4.8673 g?
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