examples of non recurring /non termination decimals . existence of non - rational number (irrigation number) such as √2√3and their representation on the number explaining that every real number is the represented by a unique point on the number line and conversely viz every point on the number line represents a unique real number
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Definition
A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.
Decimals of this type cannot be represented as fractions, and as a result are irrational numbers.
Examples
Pi is a non-terminating, non-repeating decimal. π = 3.141 592 653 589 793 238 462 643 383 279 ...
e is a non-terminating, non-repeating decimal. e = 2.718 281 828 459 045 235 360 287 471 352 ...
Non-terminating, non-repeating decimals can be easily created by using a pattern. Some examples are listed below:
0.10100100010000100000100000010000000 ...
28.121122111222111122221111122222111111222222 ...
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