The absolute value of a number is its distance from zero on the number line. Because distance is always positive or zero, the absolute value of a number is never negative. The absolute value of a number $x$ is written as $|x|$. For example, $|3| = 3$ because 3 is 3 units away from zero. Also, $|-3| = 3$ because -3 is also 3 units away from zero.
Match the following terms with their definitions:
| Term | Definition |
|---|---|
| 1. Absolute Value | A. The set of all whole numbers and their opposites, including zero. |
| 2. Number Line | B. A line whose points are associated with numbers. |
| 3. Integers | C. The distance of a number from zero. |
| 4. Negative Number | D. A number less than zero. |
| 5. Positive Number | E. A number greater than zero. |
Fill in the blanks using the words: absolute value, zero, distance, positive, negative.
The ________ of a number is its ________ from ________ on the number line. The absolute value is always ________ or ________.
Explain why the absolute value of a number can never be negative.
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