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Zero is a rational number....

Zero is a rational number.

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Reciprocal of every rational number is a rational number.

Multiplication of a non-zero rational number with an irrational number is an irrational number.

Knowledge Check

  • State 'T' for true of 'F' for false and select the correct option. (i) Every natural number is a rational number. (ii) Every rational number is a fraction. (iii) Zero is not a retional number. (iv) The reciprocal of 0 is (1)/(0).

    A
    `{:(""(i), (ii), (iii), (iv)),(F, T, T, F):}`
    B
    `{:(""(i), (ii), (iii), (iv)),(T,T,T,F):}`
    C
    `{:(""(i), (ii), (iii), (iv)),(T,F,F,F):}`
    D
    `{:(""(i), (ii), (iii), (iv)),(T,T,F,F):}`

  • If r is a non-zero rational number and x is an irrational number, then the product rx is

    A
    a rational number
    B
    an integer
    C
    an irrational number
    D
    None of these

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