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Questions and Answers
Which of the following is the correct definition of the absolute value of a real number?
Which of the following is the correct definition of the absolute value of a real number?
- The absolute value of a real number is the sum of its digits.
- The absolute value of a real number is always positive.
- The absolute value of a real number is always negative.
- The absolute value of a real number is its distance from zero. (correct)
What is the absolute value of -5?
What is the absolute value of -5?
- 5 (correct)
- 0
- -5
- 25
Which of the following is a generalization of the absolute value for real numbers?
Which of the following is a generalization of the absolute value for real numbers?
- Quaternions
- Complex numbers (correct)
- Ordered rings
- Vector spaces
What is the absolute value of 0?
What is the absolute value of 0?
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What did Jean-Robert Argand introduce in 1806?
What did Jean-Robert Argand introduce in 1806?
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Study Notes
Absolute Value
- The absolute value of a real number is the distance from zero to that number on the number line, without considering whether the number is positive or negative.
- The absolute value of -5 is 5.
- The absolute value of 0 is 0.
Generalization of Absolute Value
- The modulus or complex modulus is a generalization of the absolute value for real numbers to complex numbers.
History of Absolute Value
- Jean-Robert Argand introduced the concept of the modulus or complex modulus in 1806.
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Description
Test your knowledge of absolute values in mathematics with this quiz! Explore the concept of absolute value and learn how to calculate it for different real numbers. Challenge yourself with various examples and see how well you understand this fundamental concept.
