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

1. Parentheses: First, simplify inside the parentheses: $2 + 3 = 5$

2. Division: Next, divide: $\frac{100}{4} = 25$

3. Multiplication: Finally, multiply the result by what was inside the parentheses: $25 \times 5 = 125$

The final answer is $125$.

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Here are 5 related questions:

1. How would you solve $\frac{50}{2}(3+4)$?
2. What happens if you replace the parentheses with a different operation, such as subtraction?
3. How does the order of operations affect solving expressions like this?
4. What if the expression was written as $\frac{100}{4} \times (2+3)$, would it change the result?
5. How can parentheses change the outcome of a mathematical expression?

Tip: Always resolve parentheses first in an expression; it simplifies further operations.