Math Problem Statement

Simplify: a) |10| b) |-4|

Solution

Let's simplify the given absolute values.

a) 10=10|10| = 10

The absolute value of 10 is 10 because it's already a positive number.

b) 4=4|-4| = 4

The absolute value of 4-4 is 4 because the absolute value turns negative numbers into their positive counterparts.

Do you have any further questions on this? Here are some related questions for practice:

  1. What is 15|-15|?
  2. Simplify 25|25|.
  3. What is the absolute value of 9-9?
  4. Calculate 100|-100|.
  5. Simplify 0|0|.

Tip: Absolute values always return the non-negative version of the number inside.

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Math Problem Analysis

Mathematical Concepts

Absolute Value
Number Line

Formulas

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

Theorems

Absolute Value Theorem: The absolute value of a number is its distance from zero on the number line, always positive or zero.

Suitable Grade Level

Grade 6-8