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

1. **Parentheses first**: Calculate \(2 + 3\).
   \[
   2 + 3 = 5
   \]
   So, the expression now becomes:
   \[
   \frac{100}{4} \times 5
   \]

2. **Division next**: Divide 100 by 4.
   \[
   \frac{100}{4} = 25
   \]
   Now the expression is:
   \[
   25 \times 5
   \]

3. **Multiplication last**: Multiply 25 by 5.
   \[
   25 \times 5 = 125
   \]

So, the final answer is **125**.

Would you like more details or have any questions?

Here are some related questions:
1. How would you solve \( \frac{200}{8}(3+7) \)?
2. What is the result of \( 50/2(1+4) \)?
3. How does the order of operations affect the outcome of \( 10 + 20 \times 3 \)?
4. Can you evaluate \( 36/(6 \times (2 + 1)) \)?
5. What happens if you change the operation from multiplication to addition in the expression \( \frac{100}{4}(2+3) \)?

**Tip:** Always follow the order of operations to avoid errors in solving expressions.

Discover how to solve the arithmetic expression 100/4(2+3) step-by-step using the order of operations (PEMDAS). This problem demonstrates the importance of following mathematical rules to achieve the correct result. Ideal for students in Grades 5-7.

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