The number 0.318564318564318564……. is:
A. A natural number
B. An integer
C. A rational number
D. An irrational number
Answers
C
Answer:
Rational number
Step-by-step explanation:
Since its repeating
The number 0.318564318564318564……. is : A rational number
Option (C) A rational number is correct.
Here 318564 is repeating.
Extra information :
A number can have decimal representation in one of the following forms :
(1) Terminating
(2) Non terminating but repeating (recurring)
(3) Non terminating and non repeating
1 and 2 are rational numbers and number 3 are known as irrational numbers.
- For rational number 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.
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Similar questions : Which one of the following statements is true?
A. The sum of two irrational numbers is always an irrational number.
B. The sum of two irrational numbers is always a rational number.
C. The sum of two irrational numbers may be a rational number or an irrational number.
D. The sum of two irrational numbers is always an integer.
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Which of the following is a correct statement?
A. Sum of two irrational numbers is always irrational.
B. Sum of a rational and irrational number is always an irrational number
C. Square of an irrational number is always a rational number
D. Sum of two rational numbers can never be an integer.
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