Let's solve the expression step by step:

We have:

\[
\frac{100}{4} \times (2 + 3)
\]

1. First, simplify inside the parentheses:
\[
2 + 3 = 5
\]

2. Now the expression becomes:
\[
\frac{100}{4} \times 5
\]

3. Simplify \( \frac{100}{4} \):
\[
100 \div 4 = 25
\]

4. Finally, multiply by 5:
\[
25 \times 5 = 125
\]

The value of the expression is \( \boxed{125} \).

Would you like more details, or do you have any questions?

Here are five related questions:
1. How would the result change if the denominator was 5 instead of 4?
2. What is the result of \( 100 \div 2 \times (4 + 6) \)?
3. How do parentheses affect the order of operations in expressions like this?
4. How does changing the order of operations affect the final result?
5. Can you solve \( \frac{120}{6}(3+2) \) in the same way?

**Tip:** Always remember to follow the order of operations (PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Learn how to solve the mathematical expression 100 ÷ 4 × (2 + 3) step by step, following the order of operations (PEMDAS). This problem covers division, multiplication, and addition, making it perfect for students in Grades 6-8.

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