Question

1. Are terminating numbers only decimal ?
2. What is recurring decimal?
3. What are the conditions of an decimal to be terminating and non-terminating?
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Answer 1

Answer:

1) Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

2) A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating

3) A terminating decimal is a decimal, that has an end digit. It is a decimal, which has a finite number of digits(or terms). Example: 0.15, 0.86, etc. Non-terminating decimals are the one that does not have an end term

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Answer 2

Answer:

1. No not necessarily.

2. Recurring decimals are another kind of rational numbers under which when converted to decimals it won't terminate and a set of digits gets repeat, recurring means repeating.

3. Conditions of a decimal to be terminating or not terminating repeating can be defined with its denominator, if the denominator is only in the form of 2^m or 5^n or 2^m x 5^n then we say such rational numbers are terminating.

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