To solve the expression $\frac{100}{4}(2 + 3)$, let's follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Here's the step-by-step solution:

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

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

3. Multiplication: Finally, multiply the result of the division by the result from the parentheses: $25 \times 5 = 125$

Thus, the value of the expression $\frac{100}{4}(2 + 3)$ is 125.

Would you like more details or have any questions?

Here are some related questions to explore:

1. How would the expression change if parentheses were placed differently, such as $\frac{100}{(4 \times (2 + 3))}$?
2. What happens if we change the order of operations by adding or subtracting other terms?
3. How does the expression change if variables are introduced, for example, $\frac{100}{4}(x + 3)$?
4. How would this expression be solved if it included an exponent, like $\frac{100}{4}(2 + 3)^2$?
5. Can you explore other operations (like factoring) on the number 100 and how it would impact the results?

Tip: Always be mindful of parentheses, as they directly influence the order of operations and the final result.