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

1. Parentheses/Brackets: Evaluate any expressions within parentheses first.
2. Exponents/Orders: Solve any exponents.
3. Multiplication and Division: Perform these operations from left to right.
4. Addition and Subtraction: Perform these operations from left to right.

Now let's solve the expression step-by-step:

1. Evaluate inside the parentheses:
   $2 + 3 = 5$

2. Rewrite the expression:
   $100 / 4(5)$

3. Perform the division:
   $100 / 4 = 25$

4. Multiply the result by 5:
   $25 \times 5 = 125$

Therefore, the value of the expression $100/4(2+3)$ is 125.

Would you like further details or have any questions?

Related Questions:

1. What is the order of operations, and why is it important in mathematics?
2. How would the answer change if the expression were written as $100 / (4(2+3))$?
3. Can you explain how to handle expressions with multiple parentheses or nested parentheses?
4. How does the interpretation of division and multiplication affect the calculation in ambiguous expressions?
5. What happens when you introduce exponents or roots to an expression similar to this one?

Tip:

Always be cautious with expressions involving division and multiplication without clear parentheses, as they can lead to ambiguous interpretations.