Math Problem Statement

Evaluate the following absolute values: |-11| and |7|.

Solution

In the given image, you are asked to evaluate the absolute values of two numbers: 11-11 and 77.

  1. 11\left| -11 \right|: The absolute value of a number is its distance from zero on the number line, disregarding the sign. So: 11=11\left| -11 \right| = 11

  2. 7\left| 7 \right|: Similarly, the absolute value of 77 is simply: 7=7\left| 7 \right| = 7

Thus, the answers are:

  • 11=11\left| -11 \right| = 11
  • 7=7\left| 7 \right| = 7

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the absolute value of 25-25?
  2. How does the absolute value function behave for negative numbers versus positive numbers?
  3. Can absolute values ever be negative?
  4. What is the geometric interpretation of absolute values on a number line?
  5. How would you apply the absolute value function to a complex number?

Tip: Remember that the absolute value of a number is always non-negative!

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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

Absolute Value Theorem

Suitable Grade Level

Grades 6-8