To solve the expression $\frac{100}{4}(3+2)$, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)):

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

2. Next, perform the division: $\frac{100}{4} = 25$

3. Finally, multiply the result by 5: $25 \times 5 = 125$

Thus, $\frac{100}{4}(3+2) = 125$.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. What is the order of operations and why is it important?
2. How does parentheses grouping affect the result of an expression?
3. What happens if we change the operation order in this expression?
4. How would you solve more complex expressions using PEMDAS?
5. Can expressions with multiple parentheses be solved similarly?

Tip: Always perform operations inside parentheses first when simplifying expressions!