Certainly! Let's break down the problem step-by-step and solve it.
### Step 1: Understanding the Problem
You are asked to write a numerical expression and calculate the result for the statement:
"Sixty-five times the sum of eighteen plus thirty-eight."
### Step 2: Representing the Problem in Mathematical Terms
1. Identify the components:
- The numbers involved are sixty-five (65), eighteen (18), and thirty-eight (38).
- We need to calculate the sum of eighteen and thirty-eight.
- Then, we need to multiply this sum by sixty-five.
2. Write the expression:
[tex]\[
65 \times (18 + 38)
\][/tex]
### Step 3: Calculating the Sum Inside the Parentheses
First, find the sum of eighteen and thirty-eight:
[tex]\[
18 + 38 = 56
\][/tex]
### Step 4: Multiplying by Sixty-Five
Next, multiply this sum by sixty-five:
[tex]\[
65 \times 56 = 3640
\][/tex]
### Step 5: Conclusion
Thus, the result of "Sixty-five times the sum of eighteen plus thirty-eight" is:
[tex]\[
\boxed{3640}
\][/tex]
To summarize, the numerical expression [tex]\(65 \times (18 + 38)\)[/tex] evaluates to 3640.
