Domanda del libro di testo
Carry out the following operations and express the answers with the appropriate number of significant numbers. (c) (3.29×104)(0.2501)
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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement146
- Ch.2 - Atoms, Molecules, and Ions200
- Ch.3 - Chemical Reactions and Reaction Stoichiometry176
- Ch.4 - Reactions in Aqueous Solution155
- Ch.5 - Thermochemistry126
- Ch.6 - Electronic Structure of Atoms131
- Ch.7 - Periodic Properties of the Elements126
- Ch.8 - Basic Concepts of Chemical Bonding123
- Ch.9 - Molecular Geometry and Bonding Theories143
- Ch.10 - Gases147
- Ch.11 - Liquids and Intermolecular Forces91
- Ch.12 - Solids and Modern Materials122
- Ch.13 - Properties of Solutions126
- Ch.14 - Chemical Kinetics174
- Ch.15 - Chemical Equilibrium101
- Ch.16 - Acid-Base Equilibria139
- Ch.17 - Additional Aspects of Aqueous Equilibria146
- Ch.18 - Chemistry of the Environment72
- Ch.19 - Chemical Thermodynamics129
- Ch.20 - Electrochemistry142
- Ch.21 - Nuclear Chemistry101
- Ch.22 - Chemistry of the Nonmetals68
- Ch.23 - Transition Metals and Coordination Chemistry66
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry10
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
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Brown 15th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 51
Brown 15th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 51Capitolo 1, Problema 51
Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.
a. 2.791×104 + 8.76×103
b. 4.67×102 − 5.4437×104
c. (2.481×10−2 + 7.33×10−4) × (1.924×10−2 + 6.70)
d. (1.3×10−4 − 3.746×10−2)/(1.3×102 − 3.746×104)
Guida verificata passo dopo passo1
a. Align the exponents for the addition: Convert 8.76×10^3 to 0.876×10^4.
a. Add the coefficients: 2.791 + 0.876 = 3.667.
a. Express the result in exponential notation: 3.667×10^4.
a. Determine the number of significant figures: The result should have 3 significant figures, so round to 3.67×10^4.
b. Align the exponents for the subtraction: Convert 4.67×10^2 to 0.0467×10^4.
b. Subtract the coefficients: 0.0467 - 5.4437 = -5.397.
b. Express the result in exponential notation: -5.397×10^4.
b. Determine the number of significant figures: The result should have 3 significant figures, so round to -5.40×10^4.
c. Perform the addition inside the parentheses: 2.481×10^−2 + 7.33×10^−4 = 2.5543×10^−2.
c. Perform the addition inside the parentheses: 1.924×10^−2 + 6.70 = 6.71924.
c. Multiply the results: 2.5543×10^−2 × 6.71924.
c. Express the result in exponential notation with the appropriate significant figures.
d. Perform the subtraction in the numerator: 1.3×10^−4 - 3.746×10^−2.
d. Perform the subtraction in the denominator: 1.3×10^2 - 3.746×10^4.
d. Divide the results from the numerator and denominator.
d. Express the result in exponential notation with the appropriate significant figures.
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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. When performing calculations, the result should be reported with the same number of significant figures as the measurement with the least number of significant figures to ensure accuracy.
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Percorso guidato
01:09
Significant Figures Example
Exponential Notation
Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is represented as a product of a number (the coefficient) and a power of ten. For example, 2.5 × 10^3 represents 2500. This notation simplifies calculations, especially when dealing with very large or very small quantities.
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Percorso guidato
02:50Standard Notation to Scientific Notation
Order of Operations
The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. Following these rules is crucial when performing multiple operations in a single expression, especially in scientific calculations.
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Percorso guidato
03:10Scientific Notation Mixed Operations
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Domanda del libro di testo
Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.
a. 2.791×104 + 8.76×103
b. 4.67×102 − 5.4437×104
c. (2.481×10−2 + 7.33×10−4) × (1.924×10−2 + 6.70)
d. (1.3×10−4 − 3.746×10−2)/(1.3×102 − 3.746×104)
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You have a graduated cylinder that contains a liquid (see photograph). Write the volume of the liquid, in milliliters, using the proper number of significant figures.
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