Real Numbers: Difference between revisions

Revision as of 16:06, 24 September 2025

Each number set contains the number set before it: $/ a$

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 $π, \sqrt{2}, 3 \sqrt{3}, - \sqrt{2}, - \sqrt{5} / 2$ , etc

@@ Line 9: / Line 9: @@
 ** For example <math>11/4 = 2.75 </math>
 * Q: Rationals - ie all D, plus those that do recur (but may never terminate.
-** For example <math>1/3 = 0.333333</math> or <math>143/999 = 0.143143143</math>
+** For example <math>1/3</math> ( = 0.333333) or <math>143/999</math> ( = 0.143143143)
 * R: Reals - ie all Q plus the irrationals, which are decimals that neither terminate nor recur.
 ** For example <math display="inline">\pi, \sqrt{2}, 3\sqrt{3}, -\sqrt{2}, -\sqrt{5}/2</math>, etc