State the name of the property illustrated: 3+17 = 17+3
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1
Identify the operation involved in the equation: addition.
Observe the order of the numbers on both sides of the equation: and .
Notice that the numbers are the same, but their order is reversed.
Recall the property of addition that states changing the order of the numbers does not change the sum.
This property is known as the Commutative Property of Addition.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Commutative Property of Addition
The Commutative Property of Addition states that the order in which two numbers are added does not affect the sum. In this case, 3 + 17 equals 17 + 3, demonstrating that both expressions yield the same result. This property is fundamental in algebra as it allows for flexibility in rearranging terms in addition.
Addition is one of the basic arithmetic operations, representing the process of combining two or more quantities to obtain a total. It is a foundational concept in mathematics, essential for understanding more complex operations and functions. In the context of the question, addition is the operation being performed on the numbers 3 and 17.
Equality is a fundamental concept in mathematics that indicates two expressions represent the same value. The equation 3 + 17 = 17 + 3 illustrates this principle, as both sides of the equation are equal. Understanding equality is crucial for solving equations and verifying mathematical statements.