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

Let's solve it step-by-step:

1. **Evaluate inside the parentheses**:
   \[
   2 + 3 = 5
   \]

2. **Perform the division**:
   \[
   \frac{100}{4} = 25
   \]

3. **Perform the multiplication**:
   \[
   25 \times 5 = 125
   \]

So, the result of the expression \( \frac{100}{4}(2+3) \) is **125**.

Would you like further details, or do you have any questions?

### Related Questions:

1. What is the order of operations in mathematics, and why is it important?
2. How would the result change if the expression were written as \( 100/(4(2+3)) \)?
3. Can you explain how to solve expressions with nested parentheses?
4. How does the distributive property apply in expressions like \( a(b + c) \)?
5. What are some common mistakes when applying the order of operations?

**Tip:** Always use parentheses to clarify expressions, especially when dealing with both multiplication and division, to avoid ambiguity.

Learn how to solve the arithmetic expression 100/4(2+3) step-by-step using the PEMDAS rule. This problem covers key concepts in arithmetic and the order of operations, suitable for students in Grades 5-7.

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