Textbook Question
Round off the following quantities to the number of significant figures indicated in parentheses. (a) 35,670.06 m (4, 6)
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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 91a
Round off the following quantities to the number of signifi-cant figures indicated in parentheses. (a) 7.0001 kg (4)
Verified step by step guidance1
Identify the number of significant figures required: 4.
Look at the given number: 7.0001 kg.
Determine the current number of significant figures in 7.0001 kg, which is 5.
Round the number to 4 significant figures by removing the least significant digit.
The rounded number should maintain the same value up to the fourth 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 ensuring that calculations reflect the precision of the data.
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Significant Figures Example
Rounding Rules
Rounding rules dictate how to adjust numbers to the desired level of precision. When rounding, if the digit to the right of the last significant figure is less than 5, the last significant figure remains unchanged. If it is 5 or greater, the last significant figure is increased by one. These rules help maintain the integrity of the data while conforming to the specified number of significant figures.
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Measurement Precision
Measurement precision refers to the degree of reproducibility or consistency of a measurement. It is influenced by the measuring instrument and the method used. In chemistry, reporting measurements with the correct number of significant figures reflects the precision of the measurement and is essential for effective communication of scientific data.
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Related Practice
Textbook Question
Round off the following quantities to the number of significant figures indicated in parentheses. (c) 4.995⨉103 cm (3)
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Textbook Question
Express the results of the following calculations with the correct number of significant figures. (b) 94.61 / 3.7
454
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Textbook Question
Round off the following quantities to the number of signifi-cant figures indicated in parentheses. (b) 68.507 g (2, 3)
350
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Textbook Question
Express the results of the following calculations with the correct number of significant figures. (c) 3.7 / 94.61
558
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Textbook Question
Express the results of the following calculations with the correct number of significant figures. (d) 5502.3 + 24 + 0.01
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