Domanda del libro di testo
State the name of the property illustrated: (6 • 3) • 9 = 6 • (3 • 9)
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Ch. P - Fundamental Concepts of Algebra
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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TOC.tableOfContents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
Capitolo 1, Problema 13
State the name of the property illustrated: 3+17 = 17+3
Guida verificata passo dopo passo1
Observe the equation given: \(3 + 17 = 17 + 3\).
Notice that the numbers on both sides are the same but their order is switched.
Recall that the property which allows you to change the order of addition without changing the result is called the Commutative Property of Addition.
State that this property means: for any numbers \(a\) and \(b\), \(a + b = b + a\).
Conclude that the equation \(3 + 17 = 17 + 3\) illustrates the Commutative Property of Addition.
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Commutative Property of Addition
This property states that changing the order of the numbers in an addition operation does not change the sum. For example, 3 + 17 equals 17 + 3, demonstrating that addition is commutative.
Video consigliato:
5:36
Change of Base Property
Addition Operation
Addition is a basic arithmetic operation that combines two numbers to get their total or sum. Understanding how addition works is essential to recognize properties like commutativity.
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8:38Performing Row Operations on Matrices
Equality in Equations
Equality means that two expressions represent the same value. In the equation 3 + 17 = 17 + 3, both sides have the same sum, illustrating the concept of equality in algebra.
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06:00Categorizing Linear Equations
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