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Real Numbers

Maths: Edexcel A Level Pure Maths, topic 1.1.6

Real Numbers

Real numbers are the set of any number you can think of.

Real numbers

Real numbers

  • Real numbers include:
  • Integers (whole numbers) like 0, 1, 2, 3, etc.
  • Rational numbers like 12\large \frac{1}{2}, 0.75, 1.2, etc.
  • Irrational numbers like π, 3\sqrt{3}, 17\sqrt{17}, etc.
What is an unreal number?

What is an unreal number?

  • Numbers that are not real numbers are called imaginary numbers.
  • Imaginary numbers are a made up idea that mathematicians use when they're doing really complex maths.
  • E.g. −1\sqrt{-1} and ∞\Large \infty are examples of imaginary numbers.
Real numbers and number lines

Real numbers and number lines

  • All the numbers you can point to on a number line are real numbers.
  • Real numbers are used to show the value of something in the real world.

Test yourself on Real Numbers

  • What do you call a number that is NOT a real number?

  • What numbers can you locate on a number line?

  • Which of these is an example of an imaginary number?

  • Which of these is an example of an imaginary number?

  • Which of these is an example of a real number?

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