Math Problem Statement

State the name of the property illustrated: 3 + [8 + (2)] = 3 + [(2) + 8]. The expression is an example of which property?

Solution

The question is asking about the property of addition shown in the equation:

[ 3 + [8 + (2)] = 3 + [(2) + 8] ]

This equation represents the Associative Property of Addition, which states that the way numbers are grouped in parentheses does not affect their sum. In this case:

  • Left-hand side: 8+(2)8 + (2)
  • Right-hand side: (2)+8(2) + 8

The grouping has changed, but the total remains the same. Therefore, the correct answer is:

B. Associative Property of Addition

Would you like further clarification or a deeper dive into addition properties? Here are some related questions to expand your understanding:


Related Questions:

  1. What is the difference between the Associative and Commutative Properties?
  2. Can the Associative Property apply to subtraction or multiplication?
  3. How is the Identity Property of Addition different from the Associative Property?
  4. Can you provide examples of equations illustrating the Commutative Property?
  5. How do properties of addition help simplify solving complex problems?

Tip:

When working with properties of operations, always pay attention to the grouping (parentheses) and the order of terms. This will help you correctly identify the property being used!

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Math Problem Analysis

Mathematical Concepts

Properties of Addition
Associative Property

Formulas

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Theorems

Associative Property of Addition

Suitable Grade Level

Grades 6-8