Question: Choose the property of real numbers that justifies the equation. \[ \begin{array}{|c|c|} \hline…

Choose the property of real numbers that justifies the equation.

\[ \begin{array}{|c|c|} \hline 8 \cdot (n + 4) = 8 \cdot n + 8 \cdot 4 & \text{(Choose one)} \\ \hline 0 + 5 = 5 & \\ \hline 9 \cdot \frac{1}{9} = 1 & \\ \hline d \cdot 2 = 2 \cdot d & \text{(Choose one)} \\ \hline \end{array} \]

(Choose one)

• Commutative Property of Addition
• Associative Property of Addition
• Additive Identity Property
• Additive Inverse Property
• Distributive Property
• Commutative Property of Multiplication
• Associative Property of Multiplication
• Multiplicative Identity Property
• Multiplicative Inverse Property
• Multiplication Property of Zero

Solution

1. Equation: \( s \cdot (n + 4) = s \cdot n + s \cdot 4 \) Property: This is the Distributive Property. 2. Equation: \( 0 + 5 = 5 \) Property: This is the Additive Identity Property. 3. Equation: \( 9 \cdot \frac{1}{9} = 1 \) Property: This is the Multiplicative Inverse Property. 4. Equation: \( d \cdot 2 = 2 \cdot d \) Property: This is the Commutative Property of Multiplication.