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Example of Absolute Value Evaluation
To evaluate the absolute value of a number, assess its distance from zero on the number line. For example, considering that the number is located exactly five units away from , its absolute value evaluates to , which is written mathematically as . Likewise, the positive number is also positioned five units away from , giving it an absolute value of , written as . These examples illustrate that both a number and its opposite evaluate to the exact same absolute value since they share the same distance from zero.
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Intermediate Algebra @ OpenStax
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Related
Non-negative Property of Absolute Value
Simplifying Absolute Value Expressions
Evaluating , , and for Given Values
Defining Magnitude in Technical Reports
Auditing and Financial Deviations
Example of Absolute Value Evaluation
Example: Solving Basic Absolute Value Equations
Example: Solving
Example: Solving
Try It: Solving and
Example: Solving
Absolute Value Function
Evaluating
Introductory Example: Solving
Absolute Value Inequalities with or
Absolute Value Inequality
Absolute Value Equations
Absolute Value Inequalities with or
What does the absolute value of a number represent?
Two numbers are opposites, such as and . What is true about their absolute values?
Match each absolute value expression with its distance from on the number line.
Which of the following defines the absolute value of a number?
Arrange the steps in the correct order to find the absolute value of a number using a number line.
The absolute value of a number represents its _____ from on the number line.
Match each absolute value term or symbol with its meaning.
The absolute value of a number is its distance from on the number line.
Explain what absolute value means on a number line. Why is the absolute value of a number never negative? Finally, explain why opposite numbers like and have the same absolute value.
Learn After
An analyst is reviewing budget variances to determine the magnitude of various financial discrepancies. If a department records a variance of dollars, which mathematical statement correctly evaluates the absolute value of this variance based on its distance from zero?
A quality control technician measures deviations from a target weight. True or False: Both a deviation of grams and a deviation of grams evaluate to the exact same absolute value because they share the same distance from zero on a number line.
Inventory Stock Variance Evaluation
A technician at a logistics hub is monitoring deviations in package weights relative to a target of 0 grams. Two packages show different deviations: one is recorded as grams and the other is 14 grams. Because both values are located exactly 14 units away from 0 on the number line, the absolute value of both and 14 evaluates to ____.
A logistics analyst is tracking the positions of delivery trucks relative to a central distribution center (point 0). Match each absolute value expression representing a truck's coordinate with its correct numerical evaluation of its distance from the center.
An inventory clerk at a fulfillment center is explaining how to evaluate stock variances relative to a target of 0 items. Arrange the steps in the correct order to demonstrate how both a negative variance of and a positive variance of 5 are evaluated to find their absolute values based on their distance from zero on a number line.
Evaluating Temperature Deviations in Cold Storage