Math Problem Statement

solve

|8 - 14| - | -2 |

Solution

Let's solve the expression step by step.

The given expression is:

8142|8 - 14| - | -2 |

Step 1: Solve inside the absolute values

  • 814=68 - 14 = -6, and taking the absolute value, we get 814=6=6|8 - 14| = |-6| = 6.
  • 2=2| -2 | = 2.

Step 2: Substitute the results into the expression:

626 - 2

Step 3: Perform the subtraction:

62=46 - 2 = 4

The value of the expression is 4.

Would you like further clarification or details?

Here are some related questions you might find helpful:

  1. What is the general rule for absolute values?
  2. How do you handle absolute values in more complex expressions?
  3. How would the result change if the numbers inside the absolute values were different?
  4. What are some real-world applications of absolute values?
  5. How can you use absolute values to measure distances?

Tip: Always solve inside absolute value symbols first before proceeding with other operations!

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Subtraction

Formulas

|a| where a is any real number
Basic Subtraction

Theorems

Absolute Value Properties

Suitable Grade Level

Grades 6-8