The problem presented in the image asks which of the provided options shows a greater change in weight compared to a change of $-8$ oz.

Let's analyze:

1. Change of $-8$ oz (original): The magnitude of this change is $8$ oz (since $|-8| = 8$).
2. Option A: Loss of 9 oz: The magnitude is $9$ oz.
3. Option B: Loss of 6 oz: The magnitude is $6$ oz.
4. Option C: Gain of 5 oz: The magnitude is $5$ oz.
5. Option D: Gain of 3 oz: The magnitude is $3$ oz.

To find the greatest change in weight, we compare the magnitudes:

• Option A (Loss of 9 oz) has a magnitude of 9 oz, which is greater than 8 oz.
• The other options have magnitudes less than or equal to 8 oz.

Conclusion: The answer is A. Loss of 9 oz, as it represents the greatest change in weight.

Would you like more details or have any questions?

Here are 5 related questions you might find useful:

1. How do you calculate the absolute value of a number, and why is it important in comparing changes?
2. What is the difference between a loss and a gain in terms of weight change?
3. How would the problem change if the options included a gain of 10 oz?
4. Can the concept of absolute value be applied to other real-life scenarios besides weight?
5. How would you represent these changes on a number line?

Tip: When comparing changes, always consider the absolute value to measure the magnitude of change regardless of direction (gain or loss).