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For every rational numbers x, y and z, x...

For every rational numbers x, y and z, `x+(y xx z)=(x+y) xx (x+z)`.

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NCERT EXEMPLAR-RATIONAL NUMBERS -Exercise (true(T) or false (F))
  1. For all rational numbers x and y, x xx y = y xx x.

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  2. For every rational number x, x xx 0=x.

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  3. For every rational numbers x, y and z, x+(y xx z)=(x+y) xx (x+z).

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  4. For all rational numbers a, b and c, a (b + c) = ab + bc.

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  5. 1 is the only number which is its own reciprocal.

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  6. -1 is not the reciprocal of any rational number.

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  7. For any rational number x, x + (-1) = -x.

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  8. For rational numbers x and y, if x lt y then x - y is a positive ratio...

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  9. If x and y are negative rational numbers, then so is x + y.

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  10. Between any two rational numbers there are exactly ten rational number...

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  11. State True or False Rational numbers are closed under addition and mu...

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  12. state true of false Subtraction of rational number is commutative.

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  13. -(3)/(4) is smaller than -2.

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  14. 0 is a rational number.

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  15. All positive rational numbers lie between 0 and 1000.

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  16. The population of India in 2004 - 05 is a rational number.

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  17. There are countless rational numbers between (5)/(6) and (8)/(9).

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  18. The reciprocal of x^(-1) is (1)/(x).

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  19. The rational number (57)/(23) lies to the left of zero on the number l...

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  20. The rational number (7)/(-4) lies to the right of zero on the number l...

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