Write:
a) The rational number that does not have a reciprocal
b) The rational numbers that are equal to their reciprocals.
c) The rational number that is equal to its negative.

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Solution

Solution:

a) 0 is the only number which doesn't have a reciprocal. Because reciprocal of 0 is not defined.

b) The reciprocal of 1 and -1 will always be 1 and -1 respectively. Hence, 1 and -1 are the rational numbers which are equal to their reciprocal.

c) The additive inverse of 0 will always be 0. Hence, 0 is the only rational number which is equal to its negative.

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Q. Write.
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational number that is equal to its negative.

Fill in the blanks :
(i) The product of two positive rational numbers is always___
(ii) The product of two negative rational numbers is always___
(iii) If two rational numbers have opposite signs then their product is always___
(iv) The reciprocal of a positive rational number is ___ and the reciprocal of a negative rational number is___
(v) Rational number 0 has___ reciprocal.
(vi) The product of a rational number and its reciprocal is ___
(vii) The numbers ___and ___are their own reciprocals.
(viii) If M is reciprocal on N,then the reciprocal of N is___

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 $\frac{1}{a}, a \neq$ is __________________.

(xii) $(17 \times 12)^{- 1} = 17^{- 1} \times$ __________________.

Q. Write the rational number that does not have a reciprocal.

Write the rational numbers that are equal to their reciprocals.

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Write: a) The rational number that does not have a reciprocal b) The rational numbers that are equal to their reciprocals. c) The rational number that is equal to its negative.

Write:
a) The rational number that does not have a reciprocal
b) The rational numbers that are equal to their reciprocals.
c) The rational number that is equal to its negative.