Questions: Evaluate the following expression by using the distributive property.
8(3+8)
Transcript text: Evaluate the following expression by using the distributive property.
\[
8(3+8)
\]
Solution
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 \(\boxed{88}\).