Real Numbers Quiz

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Questions and Answers

What type of number is used to calculate the square root of a number?

  • Whole number
  • Irrational number (correct)
  • Natural number
  • Rational number

Which of the following is an example of a real number?

  • $\pi$
  • $\frac{3}{4}$
  • $\sqrt{-9}$
  • 5 (correct)

Which of the following is not a real number?

  • 3.14
  • $\sqrt{2}$
  • 0
  • $\frac{5}{0}$ (correct)

What is the fundamental theorem of arithmetic related to?

<p>Multiplication of real numbers (C)</p> Signup and view all the answers

What type of number is used to represent fractions?

<p>Rational number (B)</p> Signup and view all the answers

Which of the following is an example of a real number?

<p>3 (A)</p> Signup and view all the answers

What type of number is used to calculate the square root of a number?

<p>Irrational number (D)</p> Signup and view all the answers

What type of number is excluded from the category of real numbers?

<p>Complex numbers (B)</p> Signup and view all the answers

Which type of number is used to measure temperature?

<p>Rational number (B)</p> Signup and view all the answers

Which theorem deals with the uniqueness of prime factorization of a natural number?

<p>Fundamental theorem of arithmetic (C)</p> Signup and view all the answers

Flashcards

Irrational Number

A number that cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal representation.

Real Number

A number that can be found on the number line, including both rational and irrational numbers.

Rational Number

Numbers that can be expressed in the form p/q, where p and q are integers and q is not zero.

Fundamental Theorem of Arithmetic

Every integer greater than 1 can be represented uniquely as a product of prime numbers.

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Complex Numbers

Numbers involving the imaginary unit 'i', which is defined as the square root of -1; they cannot be plotted on a standard number line.

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Study Notes

Number Systems

  • An imaginary number is used to calculate the square root of a negative number.
  • A rational number is an example of a real number.
  • An imaginary number is not a real number.
  • The fundamental theorem of arithmetic is related to the uniqueness of prime factorization of a natural number.
  • A rational number is used to represent fractions.
  • A rational number, such as 3/4, is an example of a real number.
  • An imaginary number is used to calculate the square root of a negative number.
  • An imaginary number is excluded from the category of real numbers.
  • An integer, such as -20 or 30, is used to measure temperature.
  • The fundamental theorem of arithmetic deals with the uniqueness of prime factorization of a natural number.

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