To solve the expression \( 100 \div 4 (2 + 3) \), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step solution:
1. **Parentheses**: 
   - First, solve the expression inside the parentheses \( (2 + 3) = 5 \).

2. **Division** and **Multiplication**: 
   - The expression becomes \( 100 \div 4 \times 5 \). 
   - According to the order of operations, division and multiplication are performed from left to right.
   - First, perform \( 100 \div 4 = 25 \).
   - Next, multiply \( 25 \times 5 = 125 \).

So, the answer is:
\[
\boxed{125}
\]

Do you want more details or have any other questions?

Here are 5 related questions to expand on this:
1. What is the difference between PEMDAS and BODMAS?
2. How would the expression change if it was written as \( \frac{100}{4(2+3)} \)?
3. What happens if we change the parentheses to \( 100 \div (4(2+3)) \)?
4. How would the order of operations change if exponents were involved?
5. Can you think of other expressions where division and multiplication cause confusion?

**Tip:** Always solve parentheses first to simplify the expression before handling division or multiplication!

Learn how to solve the expression 100 ÷ 4 (2+3) step by step using the order of operations (PEMDAS). This arithmetic problem covers division, multiplication, and addition, ideal for students in Grades 5-7.

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