Questions: Evaluate the following expression by using the distributive property. 8(3+8)

Evaluate the following expression by using the distributive property.
8(3+8)
Transcript text: Evaluate the following expression by using the distributive property. \[ 8(3+8) \]
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Solution

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Solution Steps

To evaluate the expression \(8(3+8)\) using the distributive property, you need to multiply 8 by each term inside the parentheses separately and then add the results. The distributive property states that \(a(b + c) = ab + ac\).

Step 1: Apply the Distributive Property

To evaluate the expression \(8(3+8)\), we apply the distributive property: \[ 8(3+8) = 8 \cdot 3 + 8 \cdot 8 \]

Step 2: Perform the Multiplications

Now, we calculate each multiplication: \[ 8 \cdot 3 = 24 \] \[ 8 \cdot 8 = 64 \]

Step 3: Add the Results

Next, we add the results of the multiplications: \[ 24 + 64 = 88 \]

Final Answer

The final result of the expression \(8(3+8)\) is \(\boxed{88}\).

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