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Question

Fill in the blanks :

(i)The product of two positive rational numbers is always_______________.
(iii) The product of two negative rational numbers is always_______________.

(iv) The reciprocal of a positive rational number is _______________.

(v) The reciprocal of a negative rational number is _______________.

(vi) Zero has _______________ reciprocal.

(vii) The product of a rational number and its reciprocal is ____________.

(viii) The numbers_______________and_______________are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is _______________.

(x) The number 0 is __________________ the reciprocal of any number.

(xi) Reciprocal of 1a,a is __________________.

(xii) (17×12)1=171×__________________.

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Solution

(i) The product of two positive rational numbers is always positive.

(ii) The product of a positive rational number and a negative rational number is always negative.

(iii) The product of two negative rational numbers is always positive.

(iv) The reciprocal of a positive rational number is positive.

(v) The reciprocal of a negative rational number is negative.

(vi) Zero has no reciprocal. (vii)

The product of a rational number and its reciprocal is 1.

(viii) The numbers 1 and -1 are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is a.

(x) The number 0 is not the reciprocal of any number.

(xi) Reciprocal of 1a,ais a.

(xii) (17×12)1=171×121


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