Jamil says "I can work out 489 divided by 16 by dividing by 8 and then by 2. Is Jamil correct? Explain your answer.

Jamil's approach is correct. Here's the explanation:

### Step-by-Step Explanation:
1. **Original Problem:**  
   Jamil needs to calculate \( \frac{489}{16} \).

2. **Jamil's Approach:**  
   He suggests dividing by 8 first, and then by 2.

3. **Breaking Down the Calculation:**
   - **Step 1:** Divide 489 by 8:  
     \( \frac{489}{8} = 61.125 \)
   - **Step 2:** Divide the result by 2:  
     \( \frac{61.125}{2} = 30.5625 \)

4. **Comparing with Direct Division by 16:**  
   If we divide 489 directly by 16:
   \[
   \frac{489}{16} = 30.5625
   \]
   This is the same result as Jamil's method.

### Conclusion:
Jamil is correct because dividing by 16 is equivalent to dividing by 8 and then by 2. His method is a valid approach to solve the problem.

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

### Further Questions:
1. How would you perform the division by 16 using long division?
2. What happens if you reverse the order and divide by 2 first, then by 8?
3. Can you explain why dividing by 8 and then by 2 is equivalent to dividing by 16?
4. What is the mathematical principle that allows Jamil’s method to work?
5. Could Jamil have used another pair of factors to break down the division by 16?
6. What is the decimal representation of 489 divided by 16?
7. How would Jamil’s method work if the numbers were not as evenly divisible?
8. Can you apply Jamil’s method to divide 960 by 24?

**Tip:** Understanding factorization can simplify many division problems by breaking them into smaller, more manageable parts.

Explore whether Jamil's method of dividing 489 by 16 by first dividing by 8 and then by 2 is correct. Understand the step-by-step calculation and why his approach is valid. Suitable for students in Grades 5-6 learning division strategies.

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