Question 30
The reciprocal of a negative rational number is ___

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Solution

Negative rational number
The negative rational number is of the form $\frac{p}{q}$ , where $p ϵ I^{+}, q ϵ I^{-}$ or $p ϵ I^{-}, q ϵ I^{+}$
Hence, the reciprocal is of the form $\frac{q}{p}$ , where p and q belongs to $I^{+}$ or $I^{+} -$

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Q. Question 30
The reciprocal of a negative rational number is ___

Q. The reciprocal of a negative rational number is

Q. Fill in the blanks:
(i) The product of two positive rational numbers is always .....
(ii) The product of a positive rational number and a negative rational number 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 0

is .....
(xii) (17 × 12)⁻¹ = 17⁻¹ × .....

Q. Tick (✓) the correct answer
The reciprocal of a negative rational number
(a) is a positive rational number
(b) is a negative rational number
(c) can be either a positive or a negative rational number
(d) does not exist

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

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Inverse Properties of Mathematical Operations

Standard VIII Mathematics

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Question 30 The reciprocal of a negative rational number is ___

Negative rational number The negative rational number is of the form pq, where pϵI+,qϵI− or pϵI−,qϵI+ Hence, the reciprocal is of the form qp, where p and q belongs to I+ or I+−

Question 30
The reciprocal of a negative rational number is ___

Negative rational number
The negative rational number is of the form $\frac{p}{q}$ , where $p ϵ I^{+}, q ϵ I^{-}$ or $p ϵ I^{-}, q ϵ I^{+}$
Hence, the reciprocal is of the form $\frac{q}{p}$ , where p and q belongs to $I^{+}$ or $I^{+} -$