Math Problem Statement

-│-│3 - 5│ - 5│ =

Solution

The expression you provided is:

355-│-│3 - 5│ - 5│

Let's break it down step by step.

  1. Absolute value inside the innermost operation:
    The first thing we evaluate is 35│3 - 5│. The absolute value of 353 - 5 is: 35=2=2│3 - 5│ = │-2│ = 2

  2. Replacing ( │3 - 5│ with 2:
    The expression now becomes: 25-│- 2 - 5│

  3. Evaluate the inner subtraction:
    Now we subtract 5 from 2: 25=32 - 5 = -3

  4. Absolute value of the result:
    Next, we take the absolute value of 3-3: 3=3│-3│ = 3

  5. Final step:
    Now we evaluate the negative sign outside: 3-3

So, the final result is: 3-3

Would you like more details, or do you have any questions?

5 Related Questions:

  1. What are the properties of absolute value functions?
  2. How do negative signs interact with absolute values in expressions?
  3. Can you explain the difference between magnitude and direction in absolute values?
  4. How does the order of operations apply when using absolute values?
  5. How do we handle nested absolute values?

Tip:

When working with absolute values, always resolve them before applying any other operations in the expression.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Order of Operations
Arithmetic

Formulas

|a - b| = |result| (absolute value of a difference)

Theorems

Properties of Absolute Value
Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8