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Flashcards

Number Systems

Ms. S. Sweeny Mathematics Leaving Certificate English 13 cards

Number Systems

Cards in this deck (13)

  1. 1What are the Natural numbers?The natural numbers are the positive whole numbers.
    {1, 2, 3, ...}
  2. 2What are the Integers?The integers are positive and negative whole numbers including zero.
    {... -3, -2, -1, 0, 1, 2, 3, ...}
  3. 3What are the Rational numbers?The rational numbers are numbers that can be written in the form \[\frac{p}{q}\;\;where\;\;p,q \in Z\;\;and\;q \ne 0.\]
    [Basically fractions but they include recurring decimals like 0.33333...... etc]
  4. 4What are the Irrational numbers?The irrational numbers are numbers that cannot be written in the form \[\frac{p}{q}\;\;where\;\;p,q \in Z\;\;and\;q \ne 0.\]
    \[E.g.\quad \pi \;and\;\sqrt 3 \;etc.\]
  5. 5What are the Real numbers?The real numbers are all rational and irrational numbers together.
  6. 6What are Complex numbers?Numbers in the form \[a + bi\] where \[a,b \in R\quad and\quad i = \sqrt { - 1} .\]
    \[E.g.\quad - 3 + 4i,\quad 8 + 0i,\quad 2 - 5i,\quad etc.\]
  7. 7What is the symbol for the Natural numbers?N
  8. 8What is the symbol for the Integers?Z
  9. 9What is the symbol for the Rational numbers?Q
  10. 10What is the symbol for the Irrational numbers?R\Q
  11. 11What is the symbol for the Real numbers?R
  12. 12What is the symbol for the Complex numbers?C
  13. 13Draw a Venn Diagram to show: Naturals Integers Rationals Irrationals Reals Complex NumbersDraw a Venn Diagram to show: Naturals Integers Rationals Irrationals Reals Complex Numbers

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Leaving Certificate Mathematics Flashcards on Number Systems, created by Ms. S. Sweeny on 29/12/2020.
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Ms. S. Sweeny
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