



 
Yes, it does. A nonterminating decimal has the value that its sequence of truncations converges to; thus pi is the limit of 3, 3.1, 3.14, 3.141, 3.1415, .... and 0.9999... is the limit of 0.9, 0.99, 0.999,... which is 1. Decimal fractions (numbers of the form A/10^n) can be expressed in all the following ways as decimals (for simplicity I will use the example 123/100 = 1.23: terminating, without trailing zeros: 1.23 All other real numbers, rational or not, have a unique decimal expansion, which never terminates. Good Hunting!  


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