Let's solve the expression step by step:

You are asked to calculate:  
\[ 100 \div 4(3 + 2) \]

### Step 1: Simplify inside the parentheses.
\[
3 + 2 = 5
\]
Now the expression becomes:
\[
100 \div 4(5)
\]

### Step 2: Apply the division and multiplication.
By the order of operations (PEMDAS/BODMAS), we first handle the division and multiplication from left to right:
\[
100 \div 4 = 25
\]
Now, the expression becomes:
\[
25 \times 5 = 125
\]

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

Would you like further clarification or details on this solution?

### Related Questions:
1. What is the order of operations, and why is it important?
2. How do parentheses affect the calculation process?
3. Can you explain division and multiplication rules in more detail?
4. How would the expression change if it was written as \( 100 \div (4(3+2)) \)?
5. What is PEMDAS, and how does it apply to more complex equations?

**Tip**: Always work inside parentheses first to avoid mistakes in calculations.

Learn how to solve the expression 100 ÷ 4(3 + 2) step by step using the PEMDAS rule. This problem highlights the order of operations, division, and multiplication. Perfect for students in Grades 6-8.

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