The expression \( \frac{100}{4}(2+3) \) should be solved step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. First, calculate inside the parentheses:
   \[
   2 + 3 = 5
   \]

2. Now, the expression becomes:
   \[
   \frac{100}{4} \times 5
   \]

3. Next, perform the division:
   \[
   \frac{100}{4} = 25
   \]

4. Finally, multiply:
   \[
   25 \times 5 = 125
   \]

The result is:
\[
\boxed{125}
\]

Do you want more details or have any questions?

Here are some related questions you might find useful:
1. What is the importance of following the order of operations?
2. How does the distribution property apply in algebraic expressions?
3. Can parentheses be nested, and how does it affect solving?
4. How would the result change if there were exponents involved?
5. What is the difference between dividing first versus multiplying first?

**Tip:** Always be careful with parentheses in expressions, as they dictate which operations to prioritize.

This step-by-step solution breaks down how to solve the expression 100/4(2+3) using the order of operations (PEMDAS). Learn the importance of parentheses and proper sequencing of arithmetic operations. Ideal for students in Grades 6-8.

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