What property of addition is used in the equality? $$ 24+(35+.57)==24+(57+35) $$ A. Closure property B. Additive-identity property C. Commutative property D. Associative property

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To determine which property of addition is used in the equality $$ 24+(35+.57)==24+(57+35) $$, let's analyze the expression step by step.

1. **Identify the components of the expression:**
   - The left side is $$ 24 + (35 + 0.57) $$.
   - The right side is $$ 24 + (57 + 35) $$.

2. **Recognize the operations involved:**
   - The expression involves adding three numbers: $$ 24 $$, $$ 35 $$, and $$ 0.57 $$.

3. **Determine the properties of addition:**
   - **Closure property**: This states that the sum of any two real numbers is also a real number. This property does not apply here as we are not just confirming that the result is a real number.
   - **Additive-identity property**: This states that adding zero to a number does not change the number. This property is not relevant to the given expression.
   - **Commutative property**: This states that the order of addition does not affect the sum, i.e., $$ a + b = b + a $$. This property is not what is being demonstrated in the expression.
   - **Associative property**: This states that the way in which numbers are grouped in addition does not affect the sum, i.e., $$ (a + b) + c = a + (b + c) $$.

4. **Apply the associative property:**
   - In the expression $$ 24 + (35 + 0.57) $$, the grouping of $$ 35 + 0.57 $$ can be rearranged to $$ 24 + (0.57 + 35) $$ or $$ 24 + (57 + 35) $$ without changing the result.

Thus, the property of addition used in the equality $$ 24+(35+.57)==24+(57+35) $$ is the **Associative property**.

The correct answer is:
**D. Associative property**.
The property used is the **Associative property**.

What property of addition is used in the equality? \( 24+(35+.57)==24+(57+35) \) A. Closure property B. Additive-identity property C. Commutative property D. Associative property

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