Math Problem Statement

Find the value of the expression: 6 - | -4 |

Solution

The expression given in the image is:

646 - | -4 |

Step-by-step solution:

  1. First, calculate the absolute value of 4-4. The absolute value of a number is its distance from zero on the number line, regardless of direction. So, 4=4| -4 | = 4.

  2. Now substitute 4| -4 | with 44 in the expression: 646 - 4

  3. Perform the subtraction: 64=26 - 4 = 2

The value of the expression is:

2\boxed{2}

Would you like further explanation or details on this?

Here are 5 related questions:

  1. What is the absolute value of a positive number, such as 5|5|?
  2. How would you handle subtraction involving negative numbers, like 6(4)6 - (-4)?
  3. Can you explain how absolute values affect subtraction in other cases?
  4. What is the result of the expression 868 - | -6 |?
  5. How do you apply the order of operations in expressions involving absolute values?

Tip: Always simplify absolute value terms first before performing other operations in an expression.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Subtraction
Basic Arithmetic

Formulas

| x | = x if x >= 0, | x | = -x if x < 0

Theorems

Absolute Value Theorem

Suitable Grade Level

Grades 6-8