Real Numbers: Difference between revisions
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** For example -2,-1,0,1,2... | ** For example -2,-1,0,1,2... | ||
* D: Decimals - ie all Z plus fractions that can be written with a finite number of decimals. | * D: Decimals - ie all Z plus fractions that can be written with a finite number of decimals. | ||
** For example 11/4 = 2.75 | ** For example 11/4 = 2.75<math>11/4 = 2.75 </math> | ||
* Q: Rationals - ie all D, plus those that do recur (but may never terminate. | * 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 | ** For example 1/3 = 0.333333 or 143/999 = 0.143143143 | ||
Revision as of 15:54, 24 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