Math Problem Statement

Evaluate the expression by finding the absolute value.

|10| – |‐5| + |‐3|

18

8

2

12

Solution

Let's evaluate the expression step by step by finding the absolute values:

  1. 10=10|10| = 10
  2. 5=5|-5| = 5
  3. 3=3|-3| = 3

Now substitute these values into the expression:

105+3=105+3|10| - |-5| + |-3| = 10 - 5 + 3

Perform the operations:

105+3=810 - 5 + 3 = 8

Final Answer:

The correct option is 8.


Do you want more details or have any questions? Here are 5 related questions to deepen your understanding:

  1. What are absolute values and why are they always non-negative?
  2. How does absolute value affect the signs of numbers?
  3. What would the expression become if we changed 5-5 to 5?
  4. Can the absolute value of a number ever be negative?
  5. How do absolute values relate to distances on the number line?

Tip: Absolute values represent the distance of a number from zero on the number line, regardless of direction.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Arithmetic Operations

Formulas

|a| = a if a ≥ 0, |a| = -a if a < 0

Theorems

Absolute value represents distance from zero on the number line

Suitable Grade Level

Grades 5-7