Terminating decimals: Terminating decimals are those numbers which come to an end

after some repetitions after the decimal point.

Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

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.

Ex: π 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:

0.10100100010000100000100000010000000 ...

28.121122111222111122221111122222111111222222 ...