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-1 is not the reciprocal of any rationa...

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

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Nine times the reciprocal of a rational number equals 6 times the reciprocal of 17. Find the rational number.

Fill in the blanks.(i) Zero has reciprocal.(ii) The numbers and are their own reciprocals (iii) The reciprocal of (5) is.(iv) Reciprocal of (1)/(x), where x!=0 is.(v) The product of two rational numbers is always a.(vi) The reciprocal of a positive rational number is.

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NCERT EXEMPLAR-RATIONAL NUMBERS -Exercise (true(T) or false (F))
  1. For all rational numbers a, b and c, a (b + c) = ab + bc.

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  2. 1 is the only number which is its own reciprocal.

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  3. -1 is not the reciprocal of any rational number.

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

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

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

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

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

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

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  10. -(3)/(4) is smaller than -2.

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  11. 0 is a rational number.

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

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

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

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

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

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

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  18. The rational number (-8)/(-3) lies neither to the right nor to the lef...

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  19. The rational numbers (1)/(2) and -1 are on the opposite sides of zero...

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  20. Every fraction is a rational number.

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