The expression you provided is:

$100 \div 4(2 + 3)$

We will follow the correct order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

1. First, solve inside the parentheses: $2 + 3 = 5$ The expression becomes: $100 \div 4(5)$

2. Next, interpret the multiplication and division from left to right. $100 \div 4 = 25$ Now we have: $25 \times 5 = 125$

So, the final result is:

$\boxed{125}$

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. How would the result change if we had $100 \div (4(2 + 3))$?
2. What is the importance of following the order of operations?
3. How does multiplication behave with parentheses in algebraic expressions?
4. Can this expression be solved differently based on how division and multiplication are grouped?
5. How does this problem compare to expressions like $100 \div 4 \times 5$?

Tip: Always work through parentheses first and follow the left-to-right rule for multiplication and division!