To solve the expression $100 \div 4(2 + 3)$, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses first:
   $2 + 3 = 5$
   Now the expression becomes:
   $100 \div 4(5)$

2. Multiplication and division from left to right:
   $100 \div 4 = 25$
   Then multiply by 5:
   $25 \times 5 = 125$

So, the final result is 125.

Would you like more details on this?
Here are 5 questions to explore related concepts:

1. What is the importance of the order of operations in math?
2. How would the expression change if parentheses were placed differently?
3. How do you handle more complex expressions with multiple operations?
4. How does division interact with multiplication when solving?
5. What happens if there are exponents or roots in the expression?

Tip: Always solve expressions inside parentheses first to avoid confusion.