It looks like you have an expression that needs to be evaluated using 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)).

Here’s how we solve the expression \(100 \div 4(2 + 3)\):

1. **Evaluate inside the parentheses**:  
   \(2 + 3 = 5\).

2. **Rewrite the expression**:  
   \(100 \div 4 \times 5\).

3. **Perform division and multiplication from left to right**:  
   First, \(100 \div 4 = 25\),  
   Then, \(25 \times 5 = 125\).

So, the answer is:

\[
\boxed{125}
\]

Would you like more details, or do you have any other questions?

### Related Questions:
1. How would you solve \(200 \div 5(3 + 7)\)?
2. What happens if the order of operations is not followed correctly?
3. Can parentheses be replaced by brackets or other symbols, and does it change the operation?
4. How do you handle expressions with nested parentheses?
5. How would the expression change if it were written as \(100 \div (4(2 + 3))\)?

### Tip:
Always be mindful of implicit multiplication when parentheses are involved, especially when there is no symbol between a number and the parentheses; it’s easy to misinterpret the intended order of operations.

Learn how to solve the expression 100 ÷ 4(2 + 3) using the order of operations (PEMDAS). This step-by-step guide explains the process of simplifying the expression, performing division and multiplication, and evaluating parentheses. Perfect for students in Grades 5-7.

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