To solve the expression \( 100 \div 4(2 + 3) \), follow the order of operations, often remembered by **PEMDAS** (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

1. **Parentheses**: Evaluate the expression inside the parentheses first.
   \[
   2 + 3 = 5
   \]
   Now the expression becomes:
   \[
   100 \div 4(5)
   \]

2. **Multiplication/Division**: From left to right, first divide \( 100 \) by \( 4 \), then multiply by \( 5 \).
   \[
   100 \div 4 = 25
   \]
   Now multiply:
   \[
   25 \times 5 = 125
   \]

Thus, the result is:
\[
\boxed{125}
\]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How does the order of operations change if parentheses are omitted?
2. What happens if we rearrange the expression \( 100 \div (4(2 + 3)) \)?
3. How would the answer differ if we used different operations inside the parentheses?
4. How would you solve this if exponents were involved instead of addition?
5. Can you apply this method to more complex expressions?

**Tip**: Always remember to resolve parentheses first to avoid common calculation errors.

Explore how to solve the expression 100 ÷ 4(2 + 3) step-by-step by applying the order of operations (PEMDAS). Learn how to evaluate parentheses first, then divide and multiply correctly. This is ideal for students in Grades 5-7 looking to improve their understanding of division and multiplication.

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