To solve the expression \(100 \div 4(2+3)\), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-Step Solution

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

2. **Rewrite the Expression**: Substitute the evaluated parentheses back into the expression.
   \[
   100 \div 4(5)
   \]

3. **Multiplication and Division**: Perform division and multiplication from left to right.
   \[
   100 \div 4 = 25
   \]

4. **Continue with Multiplication**: Multiply the result by 5.
   \[
   25 \times 5 = 125
   \]

### Final Answer
\[
100 \div 4(2+3) = 125
\]

Would you like more details or have any questions?

### Related Questions

1. How do you solve expressions with both multiplication and division?
2. What is the order of operations, and why is it important?
3. How do parentheses affect the outcome of mathematical expressions?
4. How would the result change if the expression was written as \(100 \div (4(2+3))\)?
5. Can you provide more examples of expressions that require following the order of operations?

**Tip:** Always remember to follow the order of operations to avoid mistakes when solving mathematical expressions.

Learn how to solve the expression 100 ÷ 4(2+3) using the order of operations (PEMDAS). Follow a detailed step-by-step solution to understand how parentheses affect arithmetic outcomes. Suitable for students in Grades 7-9.

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