Which property of addition is shown?

(4 + 5) + 6 = 4 + (5 + 6)

A. Associative Property
B. Commutative Pro...

Question

Which property of addition is shown?

(4 + 5) + 6 = 4 + (5 + 6)

A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property

CramX · Accepted Answer

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. (4 + 5) + 6 &= 9 + 6 \ &= 15 \end{align*}$ Step 3: : Evaluate the right side of the equation: 4 + (5 + 6). 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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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

Step 3:
: Evaluate the right side of the equation: 4 + (5 + 6)

Final Answer

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