State the name of the property illustrated: (6 • 3) • 9 = 6 • (3 • 9)

Key Concepts

Associative Property of Multiplication

The Associative Property of Multiplication states that the way in which numbers are grouped in a multiplication problem does not affect the product. This means that for any numbers a, b, and c, the equation (a • b) • c = a • (b • c) holds true. In the given example, (6 • 3) • 9 = 6 • (3 • 9) demonstrates this property by showing that regardless of how the numbers are grouped, the result remains the same.

Multiplication

Multiplication is one of the four basic arithmetic operations, representing the repeated addition of a number. It involves two numbers, called factors, and produces a product. In the context of the question, the numbers 6, 3, and 9 are being multiplied together, and understanding how multiplication works is essential to grasp the implications of the associative property.

Order of Operations

The Order of Operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), it emphasizes that multiplication should be performed before addition and subtraction. While the associative property allows for regrouping, following the order of operations is crucial for solving more complex expressions.