Math, asked by Mrayush9130, 9 months ago

Which one of the following is a correct statement?
A. Decimal expansion of a rational number is terminating.
B. Decimal expansion of a rational number is non-terminating.
C. Decimal expansion of an irrational number is terminating.
D. Decimal expansion of an irrational number is non-terminating and non-repeating.

Answers

Answered by nikitasingh79
24

Decimal expansion of an irrational number is non-terminating and non-repeating is a correct statement .

 

Extra information :  

For rational numbers in the form of p/q where q ≠ 0,  on dividing p/q, two main cases occur either the remainder becomes zero after a certain stage or never becomes zero and we get a repeating string of remainders.  

A number is an irrational number if it has a non terminating and non-repeating decimal representation.

 

 Among the given options option (D) Decimal expansion of an irrational number is non-terminating and non-repeating is correct.

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Answered by Anonymous
12

Answer:

Decimal expansion of an irrational number is non-terminating and non-repeating is a correct statement .

Step-by-step explanation:

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