Textbook Question
Write each of the following in scientific notation:
a. 0.024
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Ch.1 Chemistry in Our Lives
Timberlake14thChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249
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Table of contents
- Ch.1 Chemistry in Our Lives19
- Ch.2 Chemistry and Measurements80
- Ch.3 Matter and Energy53
- Ch.4 Atoms and Elements58
- Ch.5 Nuclear Chemistry42
- Ch.6 Ionic and Molecular Compounds57
- Ch.7 Chemical Quantities and Reactions38
- Ch.8 Gases30
- Ch.9 Solutions50
- Ch.10 Acids and Bases and Equilibrium64
- Ch.11 Introduction to Organic Chemistry: Hydrocarbons77
- Ch.12 Alcohols, Thiols, Ethers, Aldehydes, and Ketones82
- Ch.13 Carbohydrates54
- Ch.14 Carboxylic Acids, Esters, Amines, and Amides91
- Ch.15 Lipids61
- Ch.16 Amino Acids, Proteins, and Enzymes84
- Ch.17 Nucleic Acids and Protein Synthesis86
- Ch.18 Metabolic Pathways and ATP Production73
Timberlake14thChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9781292472249Not the one you use?Change textbook
Chapter 1, Problem 30d
Write each of the following in scientific notation:
d. 360 000
Verified step by step guidance1
Identify the significant digits in the number. For 360,000, the significant digits are '36'.
Determine the power of 10 needed to express the number in scientific notation. Count the number of places the decimal point would need to move to the left to position it after the first significant digit. In this case, the decimal point moves 5 places.
Write the number in the form , where is a number between 1 and 10, and is the power of 10. For 360,000, is 3.6 and is 5.
Combine the significant digits and the power of 10 to express the number in scientific notation. The result is .
Verify the result by converting the scientific notation back to standard form to ensure it matches the original number, 360,000.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Scientific Notation
Scientific notation is a method of expressing numbers that are too large or too small in a compact form. It is typically written as a product of a number between 1 and 10 and a power of ten. For example, the number 360,000 can be expressed as 3.6 x 10^5 in scientific notation.
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Scientific Notation
Significant Figures
Significant figures are the digits in a number that contribute to its precision. In scientific notation, the significant figures are represented in the coefficient (the number between 1 and 10). For 360,000, if we consider it to have three significant figures, it would be written as 3.60 x 10^5.
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Powers of Ten
Powers of ten are used in scientific notation to indicate the scale of the number. Each power of ten represents a factor of ten multiplied by itself. For instance, 10^5 means 10 multiplied by itself five times, which equals 100,000, helping to place the decimal point correctly in scientific notation.
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