To solve the expression \( 100 \div 4(2+3) \), let's follow the correct order of operations (PEMDAS/BODMAS):

1. **Parentheses**: 
   First, evaluate the expression inside the parentheses:  
   \( 2 + 3 = 5 \).

2. **Substitute into the expression**:  
   Now, the expression becomes:  
   \( 100 \div 4 \times 5 \).

3. **Division and multiplication**:  
   According to the order of operations, we proceed from left to right with division and multiplication:
   - \( 100 \div 4 = 25 \),
   - \( 25 \times 5 = 125 \).

Thus, the value of \( 100 \div 4(2+3) \) is **125**.

Would you like a more detailed breakdown or have any questions?

Here are some related questions to expand your understanding:

1. What happens if parentheses are placed around the division, like \( (100 \div 4)(2+3) \)?
2. How does the expression change if it's written as \( 100 \div [4(2+3)] \)?
3. How would you simplify \( 100 \div 4 \times 2 + 3 \)?
4. What is the result of \( 100 \div (4 \times (2+3)) \)?
5. Can you create a similar expression that uses exponents?

**Tip**: Always evaluate parentheses first and follow the left-to-right rule for multiplication and division!

Learn how to solve the expression 100 ÷ 4(2+3) by applying the order of operations (PEMDAS). This problem breaks down arithmetic steps such as solving within parentheses, division, and multiplication. Suitable for students in Grades 5-7.

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