Textbook Question
Use the following graph for problems 1.23 and 1.24:
How many minutes were needed to reach a temperature of 45 °C?
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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 30b
Write each of the following in scientific notation:
b. 1500
Verified step by step guidance1
Identify the number to be converted into scientific notation: 1500.
Determine the position of the decimal point in the number. For 1500, the decimal point is implicitly at the end: 1500.0.
Move the decimal point to create a number between 1 and 10. In this case, move the decimal point three places to the left, resulting in 1.5.
Count the number of places the decimal point was moved. Since it was moved three places, the exponent for the power of 10 will be 3.
Express the number in scientific notation using the format \( a \times 10^n \), where \( a \) is the number between 1 and 10 and \( n \) is the exponent. For this problem, the scientific notation is \( 1.5 \times 10^3 \).
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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 written as the product of a number between 1 and 10 and a power of ten. For example, the number 1500 can be expressed as 1.5 x 10^3, where 1.5 is the coefficient and 3 is the exponent indicating the number of places the decimal point has moved.
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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. For instance, in the number 1.5 x 10^3, the '1.5' has two significant figures, which indicates the precision of the measurement being represented.
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Exponent Rules
Exponent rules govern how to manipulate numbers expressed in exponential form. When converting numbers to scientific notation, understanding how to apply these rules is essential, especially when multiplying or dividing numbers with the same base. For example, when multiplying two numbers in scientific notation, you add their exponents, which is crucial for accurate calculations.
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Related Practice
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Write each of the following in scientific notation:
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