QQuestionMathematics
QuestionMathematics
Which property of addition is shown?
(4 + 5) + 6 = 4 + (5 + 6)
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
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Answer
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Step 1:I'll solve this step by step with precise LaTeX formatting:
Step 2:: Evaluate the left side of the equation: (4 + 5) + 6
\begin{align*}
(4 + 5) + 6 &= 9 + 6 \ &= 15 \end{align*}
Step 3:: Evaluate the right side of the equation: 4 + (5 + 6)
\begin{align*}
4 + (5 + 6) &= 4 + 11 \ &= 15 \end{align*}
Step 4:: Compare the results
Both sides of the equation equal 15, and the equation demonstrates that the grouping of numbers can be changed without affecting the final result.
Step 5:: Identify the property
This shows that the parentheses can be regrouped while maintaining the same sum. This is the definition of the Associative Property of Addition.
Final Answer
Associative Property The Associative Property states that for any numbers a, b, and c, (a + b) + c = a + (b + c), which is exactly what this problem demonstrates.
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