Curriculum
Course: Mathematics — Second Preparatory
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Curriculum

Mathematics — Second Preparatory

Unit 1: Real Numbers

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Unit 2: Algebra

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Unit 3: Geometry

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Unit 4: Statistics

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Text lesson

Real Numbers

Mathematics — Second Preparatory

Real Numbers

The set of real numbers

The set of real numbers

  • The set of real numbers, written R, is the union of the set of rational numbers Q and the set of irrational numbers.
  • Every real number is either rational or irrational, and no number is both.
Comparison aspectMain ideaKeywords
Rational number
  • a number that can be written as a fraction whose numerator and denominator are integers
  • with a non-zero denominator. Examples: 3/4
  • −5 and 0.25
writtenfractionwhosenumerator
Irrational number
  • a number that cannot be written as a fraction. Its decimal form neither ends nor repeats. Examples: √2
  • √3 and π
cannotwrittenfractiondecimal
•
  • Every integer is rational
  • because an integer can be written over 1. For example
  • 7 = 7/1
Everyintegerrationalbecause
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