Understanding the number systems

Understanding the number systems

Numbers can be categorized more specifically into different number systems, for instances, natural numbers, whole numbers, integers, rational numbers and irrational numbers. In this session, we will learn how to classify numbers into different number systems.
Basic Concepts: Converting among decimals, fractions, and percents, Squares and square roots
Related Concepts: Comparing and ordering rational numbers, Using exponents to describe numbers

Lessons

Natural numbers:
{1, 2, 3, 4…}

Whole numbers:
{0, 1, 2, 3, 4…}

Integers:
{…-2, -1, 0, 1, 2…}

Rational Numbers:
Numbers that CAN be written as "fraction", "repeating decimals" or "terminating decimal" Ex: -5, 0, 4, −25 \frac{-2}{5} ,5.67,-4.5‾ \overline{5}

Irrational Numbers:
Numbers that CANNOT be written as "fraction", "repeating decimals" or "terminating decimal" Ex:5 \sqrt{5} ,π \pi , 24.67934

  • Introduction
    Introduction to number systems
  • 1.
    State the number systems each of the following belongs to
    a)
    4\sqrt{4}
    0
    6.78‾ \overline{78}
    5.76204...
    -0.45454545…
    π \pi


    b)
    -7
    0.5ˉ\bar{5}
    0.403850
    7.898989…
    8 \sqrt{8}
    -0.74867…

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12.
Number Systems
12.1
Understanding the number systems
12.2
Prime factorisation
12.3
Highest common factors (HCF)
12.4
Least Common Multiple (LCM)
12.5
Rational vs. Irrational numbers
12.6
Converting repeating decimals to fractions
GCE N(A)-Level Maths
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