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Let's work through the questions based on the image you uploaded:

**6. \(-7.25\) is between which two numbers on the number line?**
- \(-7.25\) lies between \(-7\) and \(-8\).
- Correct Answer: **D) \(-7\) and \(-8\)**

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**7. What happens when you start at any number on a number line and add its additive inverse?**
- Adding the additive inverse of any number results in zero.
- Correct Answer: **C) The sum is zero.**

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**8. Which set of numbers would be found to the left of 4 on the number line?**
- Numbers to the left of 4 would be less than 4, so the set must have negative or smaller positive numbers.
- Correct Answer: **A) \{-1, 4, -5\}**. Note: In the options, set A has numbers smaller than 4.

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**9. On a number line, Bill places a marble on 12. He rolls the marble to the left and it moves 21 spaces and then rolls back to the right 3 spaces. What number does the marble end up on?**
- Start at 12.
- Moving 21 spaces to the left: \(12 - 21 = -9\).
- Rolling 3 spaces to the right: \(-9 + 3 = -6\).
- Correct Answer: **D) \(-6\)**

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**10. Which number would be found on the number line between 0 and \(-1\)?**
- Numbers between 0 and \(-1\) are negative decimals closer to 0, so \(-0.8\) fits.
- Correct Answer: **C) \(-0.8\)**

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**11. Circle the number with the highest value.**
- The highest value among \(-17\), \(-28\), and \(-36\) is \(-17\), since it is closer to 0.
- Correct Answer: **A) \(-17\)**

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Would you like more detailed explanations on any of these questions?

Here are some related questions to explore further:
1. What is an additive inverse, and how do you find it for any number?
2. How do we calculate the position of a point on a number line when we move it left or right?
3. What defines the relative position of negative decimals on the number line?
4. How do you compare values of negative numbers to determine which is larger?
5. How do operations like addition or subtraction affect numbers on the number line?

**Tip:** Remember, when comparing negative numbers, the one closer to zero is larger!

Math problems based on number line operations, additive inverses, and comparing negative numbers.

This page explains how to solve problems involving number lines, additive inverses, and negative number comparisons. Learn how to determine positions on a number line, move left or right, and find which negative numbers have the highest value. Suitable for Grades 6-8.

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