Math Problem Statement

Evaluate the absolute values | -9 | and | 7 |.

Solution

The image shows two absolute value expressions that need to be evaluated:

  1. 9| -9 |
  2. 7| 7 |

Let's solve them:

  1. 9=9| -9 | = 9
    The absolute value of a negative number removes the negative sign, so 9=9| -9 | = 9.

  2. 7=7| 7 | = 7
    The absolute value of a positive number is the number itself, so 7=7| 7 | = 7.

Thus, the correct answers are:

  • 9=9| -9 | = 9
  • 7=7| 7 | = 7

Would you like more details or have any questions about this? Here are 5 related questions to practice further:

  1. What is 15| -15 |?
  2. What is the absolute value of 0?
  3. Evaluate 100| -100 |.
  4. What is 23| 23 |?
  5. How does the absolute value of a number affect a negative value?

Tip: The absolute value of any number is always non-negative—it represents the distance from zero on the number line.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Number Line

Formulas

| x | = x if x >= 0
| x | = -x if x < 0

Theorems

The absolute value of a number is its distance from zero on the number line.

Suitable Grade Level

Grades 6-8