Let's break down the expression step by step:

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

### Step 1: Simplify inside the parentheses
\[
2 + 3 = 5
\]

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

### Step 2: Simplify the division
\[
\frac{100}{4} = 25
\]

Now, the expression is:
\[
25 \times 5
\]

### Step 3: Perform the multiplication
\[
25 \times 5 = 125
\]

Thus, the final result is:
\[
\boxed{125}
\]

Would you like further details on any part of the solution?

Here are five related questions:
1. How does the order of operations (PEMDAS) affect calculations like this one?
2. What is the distributive property in algebra, and how does it relate to parentheses?
3. How would the answer change if the expression were written as \(100 / (4(2+3))\)?
4. Can you explain how to handle expressions with multiple sets of parentheses?
5. What happens if variables are introduced in similar expressions?

**Tip:** Always remember to handle parentheses first, as they take precedence in order of operations!

Learn how to simplify the expression 100/4(2+3) step by step using the order of operations (PEMDAS). This solution includes concepts such as parentheses, division, and multiplication. Suitable for middle school students in Grades 6-8.

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