Math Problem Statement
-│-│3 - 5│ - 5│ =
Solution
The expression you provided is:
Let's break it down step by step.
-
Absolute value inside the innermost operation:
The first thing we evaluate is . The absolute value of is: -
Replacing ( │3 - 5│ with 2:
The expression now becomes: -
Evaluate the inner subtraction:
Now we subtract 5 from 2: -
Absolute value of the result:
Next, we take the absolute value of : -
Final step:
Now we evaluate the negative sign outside:
So, the final result is:
Would you like more details, or do you have any questions?
5 Related Questions:
- What are the properties of absolute value functions?
- How do negative signs interact with absolute values in expressions?
- Can you explain the difference between magnitude and direction in absolute values?
- How does the order of operations apply when using absolute values?
- 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