Let's break down the expression \( 100 \div 4(2 \cdot 3) \):

1. First, calculate the product inside the parentheses:
   \[
   2 \cdot 3 = 6
   \]

2. Now, the expression becomes:
   \[
   100 \div 4(6)
   \]
   which is the same as:
   \[
   100 \div (4 \cdot 6)
   \]

3. Next, calculate \( 4 \cdot 6 \):
   \[
   4 \cdot 6 = 24
   \]

4. Finally, divide 100 by 24:
   \[
   100 \div 24 \approx 4.1667
   \]

So, \( 100 \div 4(2 \cdot 3) \approx 4.1667 \).

Would you like more details on this calculation or have any further questions?

Here are 5 related questions to expand on this topic:
1. What is the result of \( 150 \div 3(5 \cdot 2) \)?
2. How does the order of operations (PEMDAS) affect the result in expressions like this?
3. What happens if you divide a number by zero in a similar expression?
4. Can you explain how to simplify more complex algebraic expressions involving division and multiplication?
5. What is the importance of parentheses in determining the correct order of operations?

**Tip**: Always prioritize operations inside parentheses before moving on to multiplication, division, addition, or subtraction.

Explore the step-by-step solution for the expression 100 ÷ 4(2 × 3). This problem illustrates the importance of the order of operations (PEMDAS) in arithmetic calculations. Learn how to handle expressions involving parentheses, multiplication, and division. Suitable for students in Grades 5-7.

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