Math Problem Statement

Simplify the expression 2(2.5 - | -6 |).

Solution

The expression provided in the image is:

2(2.56)2 \left( 2.5 - | -6 | \right)

Step 1: Evaluate the absolute value

The absolute value of 6-6 is 66, so the expression becomes:

2(2.56)2 \left( 2.5 - 6 \right)

Step 2: Simplify inside the parentheses

Now subtract 66 from 2.52.5:

2.56=3.52.5 - 6 = -3.5

Thus, the expression is now:

2×(3.5)2 \times (-3.5)

Step 3: Perform the multiplication

2×(3.5)=72 \times (-3.5) = -7

Final Answer:

The simplified expression is 7-7.

Would you like further details or clarifications? Here are five related questions to deepen your understanding:

  1. How do you simplify expressions with multiple absolute values?
  2. What are the properties of absolute values that can simplify computations?
  3. How do you handle nested parentheses in more complex expressions?
  4. What happens when you multiply two negative numbers?
  5. Can absolute value ever result in a negative number?

Tip: Always resolve the absolute value first when simplifying expressions, as it changes negative numbers to positive.

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Math Problem Analysis

Mathematical Concepts

Algebra
Absolute Value
Multiplication

Formulas

Absolute value |x|
Multiplication

Theorems

Absolute Value Theorem

Suitable Grade Level

Grades 6-8