To solve the expression \( \frac{100}{4(2+3)} \), we follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. First, solve inside the parentheses:
   \[
   2 + 3 = 5
   \]
   
2. Then, the expression becomes:
   \[
   \frac{100}{4 \times 5}
   \]

3. Now, perform the multiplication:
   \[
   4 \times 5 = 20
   \]

4. Finally, divide:
   \[
   \frac{100}{20} = 5
   \]

Thus, the result is **5**.

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

Here are 5 questions related to this:

1. How do you handle more complex expressions using PEMDAS?
2. What if there are nested parentheses in the expression?
3. How would the answer change if we used subtraction instead of addition in the parentheses?
4. Can you apply this process to a fraction involving exponents?
5. How does the order of operations affect larger equations?

**Tip:** Always evaluate expressions inside parentheses first before applying multiplication or division to avoid mistakes.

Discover how to solve the expression 100 divided by 4(2+3) by applying the order of operations (PEMDAS). This step-by-step solution breaks down the arithmetic, helping students in Grades 6-8 understand parentheses and basic multiplication and division.

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