The number which is expressible either as a terminating decimal or as a repeating decimal is a) Rational b) Irrational c) Real d) Integer
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a open
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(a) The number which is expressible either as a terminating decimal or as a repeating decimal is rational.
Explanation:
- Rational number is any real numbers in the form of fraction , where the denominator is not equal to zero.
- The fraction that has 0 in the numerator is a rational number and the fraction that has 0 in the denominator is not rational as it leads to infinite.
- When dividing the numerator by the denominator, if the remainder becomes 0, then it is a terminating decimal.
- If the remainder has some other values other than 0, then the process is repeated and it is a repeating decimal.
- Therefore, option a is correct.
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