Math Problem Statement
The expression was rewritten using the Associative Property of Multiplication . left parenthesis, 3, dot, 8, right parenthesis, dot, 4(3⋅8)⋅4 equals dot, 4⋅4 which equals . 3, dot, left parenthesis, 8, dot, 4, right parenthesis3⋅(8⋅4) equals 3, dot3⋅ which equals .
Solution
The given expression demonstrates how the Associative Property of Multiplication allows us to group the factors differently without changing the product.
Here’s the step-by-step breakdown:
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Starting with:
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By the Associative Property of Multiplication, we can regroup the factors:
The Associative Property states that the way we group numbers in a multiplication operation does not affect the result.
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Simplify the terms:
- So, we get:
Thus, both expressions evaluate to:
Would you like more details or have any questions?
Here are 5 related questions:
- What is the Commutative Property of Multiplication?
- Can the Associative Property be applied to addition as well?
- How does the Distributive Property differ from the Associative Property?
- What are the other basic properties of multiplication?
- Why do multiplication properties work for both real numbers and integers?
Tip: The Associative Property helps in simplifying complex expressions by regrouping numbers in easier-to-multiply pairs.
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Math Problem Analysis
Mathematical Concepts
Associative Property of Multiplication
Multiplication
Formulas
(a ⋅ b) ⋅ c = a ⋅ (b ⋅ c)
Theorems
Associative Property of Multiplication
Suitable Grade Level
Grades 4-6
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