1. Which one of the following is point
a correct statement?
1
Decimal expansion of a rational
number is terminating
Decimal expansion of a rational
number is non-terminating
Decimal expansion of an irrational
number is terminating
O
Decimal expansion of an irrational
number is non-terminating and non
repeating
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1
Answer:
Decimal expansion of an irrational number is non-terminating and non-repeating is a correct statement .
Step-by-step explanation:
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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