Let's solve the expression step by step:

We are given:

\[
100 \div 4(2 + 3)
\]

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

Now the expression becomes:
\[
100 \div 4(5)
\]

### Step 2: Resolve the multiplication
Next, perform the multiplication \(4 \times 5\):
\[
4 \times 5 = 20
\]

Now the expression is:
\[
100 \div 20
\]

### Step 3: Perform the division
Finally, divide \(100\) by \(20\):
\[
100 \div 20 = 5
\]

Thus, the value of the expression is:
\[
\boxed{5}
\]

Would you like more details on any step or have any questions?

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Here are 5 related questions to explore:

1. What is the order of operations (PEMDAS/BODMAS) and how does it affect solving expressions?
2. How do you handle expressions involving multiple operations without parentheses?
3. What is the difference between dividing first versus multiplying first in ambiguous expressions?
4. How does the distributive property work in algebraic expressions?
5. What are common pitfalls in interpreting expressions without clear parentheses?

**Tip:** Always be cautious with the order of operations to avoid mistakes, especially when parentheses or division signs are involved.

Learn how to solve the expression 100 ÷ 4(2 + 3) step-by-step by applying the order of operations (PEMDAS). This problem demonstrates simplifying parentheses, multiplication, and division, making it suitable for students in Grades 6-8.

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