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!