Math Problem Statement
Evaluate the absolute values |−3| and |14|.
Solution
To evaluate the expressions in the image, let's break down each absolute value calculation:
-
:
- The absolute value of is the distance from zero on a number line, which is .
- Therefore, .
-
:
- The absolute value of is the distance from zero, which is .
- Therefore, .
So the answers are:
Would you like further details or explanations on absolute values?
Here are some related questions to explore further:
- What is the definition of absolute value and how does it apply to positive and negative numbers?
- How does the absolute value function handle zero?
- Can absolute values be negative, and why or why not?
- What are some practical applications of absolute values in real-world scenarios?
- How do absolute values relate to distances on the number line?
Tip: When taking the absolute value, think of it as removing any negative sign, leaving only the "magnitude" or "distance" from zero.
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Math Problem Analysis
Mathematical Concepts
Absolute Value
Integers
Formulas
|x| = x if x >= 0; |x| = -x if x < 0
Theorems
Absolute Value Definition
Suitable Grade Level
Grades 5-7