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Let's break down the problems from the worksheet you've uploaded.

### 1. Inequalities: Use >, <, or = to compare the numbers.
- Compare \( 0 \) and \( | -10 | \):
  - \( | -10 | = 10 \) (the absolute value of -10 is 10).
  - Since \( 0 < 10 \), the answer is \( 0 < | -10 | \).

- Compare \( -100 \) and \( -200 \):
  - \( -100 > -200 \) because -100 is closer to zero than -200.
  - The answer is \( -100 > -200 \).

### 2. Absolute Value & Opposites:
- The opposite of \( 17 \) is \( -17 \).
- The opposite of \( -6 \) is \( 6 \).

### 3. Calculate the absolute value:
- For \( | 1 | \), the absolute value of 1 is \( 1 \).

### 4. What is the key difference between finding the opposite and the absolute value of a number?
- **Opposite**: This means changing the sign of a number. For example, the opposite of 5 is -5, and the opposite of -5 is 5.
- **Absolute value**: This is the distance of a number from zero on the number line, regardless of direction. It’s always positive. For example, the absolute value of both 5 and -5 is 5.

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Would you like more details on any part of this? Here are five related questions to expand your understanding:

1. What is the absolute value of a negative number, and why is it always positive?
2. How do you solve an inequality involving absolute values?
3. Can a number and its opposite ever be the same?
4. How would you graph absolute value on a number line?
5. What are some real-life applications of absolute values?

**Tip**: Absolute value is helpful when you want to know the "magnitude" of something, like distance, without considering direction!

Use >, <, or = to compare the numbers: 0 vs | -10 | and -100 vs -200. Give the opposite of 17 and -6. Calculate the absolute value of 1. What is the key difference between finding the opposite and the absolute value of a number?

Explore how to compare numbers using inequalities, find opposites of integers, and calculate absolute values. This worksheet helps students grasp core concepts like absolute value and opposites, suitable for grades 6-8.

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