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Real Numbers: Difference between revisions

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Each number set contains the number set before it:
Each number set contains the number set before it:


<math>N\subsetZ\subsetD\subsetQ\subsetR</math>
* N: Natural Numbers - ie all whole numbers.
** For example: 0,1,2... onwards
* Z: Integers - ie all N plus negative integers.
** For example -2,-1,0,1,2...
* D: Decimals - ie all Z plus fractions that can be written with a finite number of decimals.
** For example 11/4 = 2.75
* Q: Rationals - ie all D, plus those that do recur (but may never terminate.
** For example 1/3 = 0.333333 or 143/999 = 0.143143143
* R: Reals - ie all Q plus the irrationals, which are decimals that neither terminate nor recur.
** For example pi, square root of 2, etc


* N: Natural Numbers - ie all whole numbers - 0,1,2... onwards
N is a subset of Z is a subset of D is a subset of Q is a subset of R
* Z: Integers - ie all N plus negative integers - -2,-1,0,1,2...
 
* D: Decimals - ie all Z plus fractions that
== Intervals ==
* Q: Rationals - ie
 
* R: Reals - ie all Q plus the irrationals, which are decimals that neither terminate nor recurr
 
== Solving Inequalities ==
 
== Sign Tables ==
 
== Absolute Values ==

Revision as of 09:35, 21 September 2025

Number Sets

Each number set contains the number set before it:

  • N: Natural Numbers - ie all whole numbers.
    • For example: 0,1,2... onwards
  • Z: Integers - ie all N plus negative integers.
    • For example -2,-1,0,1,2...
  • D: Decimals - ie all Z plus fractions that can be written with a finite number of decimals.
    • For example 11/4 = 2.75
  • Q: Rationals - ie all D, plus those that do recur (but may never terminate.
    • For example 1/3 = 0.333333 or 143/999 = 0.143143143
  • R: Reals - ie all Q plus the irrationals, which are decimals that neither terminate nor recur.
    • For example pi, square root of 2, etc

N is a subset of Z is a subset of D is a subset of Q is a subset of R

Intervals

Solving Inequalities

Sign Tables

Absolute Values