8 squared divided by 4 plus 3.7 (42.3 - 24.6)

Let's break down the expression step by step:

### Expression:
\[
\frac{8^2}{4} + 3.7(42.3 - 24.6)
\]

1. **Calculate \( 8^2 \):**
   \[
   8^2 = 64
   \]

2. **Divide by 4:**
   \[
   \frac{64}{4} = 16
   \]

3. **Subtract inside the parentheses:**
   \[
   42.3 - 24.6 = 17.7
   \]

4. **Multiply 3.7 by 17.7:**
   \[
   3.7 \times 17.7 = 65.49
   \]

5. **Add the results:**
   \[
   16 + 65.49 = 81.49
   \]

### Final Answer:
\[
81.49
\]

Would you like further details or have any questions?

Here are 5 follow-up questions:
1. What is the difference between an exponent and a square root?
2. How do parentheses affect the order of operations?
3. Can you explain why multiplication is done before addition in this problem?
4. What is the importance of simplifying expressions step by step?
5. How does changing the numbers affect the final result?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) to ensure accurate results.

Learn how to solve the arithmetic expression 8 squared divided by 4 plus 3.7 (42.3 - 24.6). This step-by-step breakdown covers key math concepts like exponents, division, multiplication, and the order of operations (PEMDAS). Ideal for students in Grades 6-8.

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