Mastering Absolute Values

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Questions and Answers

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?

  • 5 (correct)
  • 0
  • -5
  • 25

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?

<p>0 (A)</p> Signup and view all the answers

What did Jean-Robert Argand introduce in 1806?

<p>The term 'module' (A)</p> Signup and view all the answers

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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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