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Rational Numbers in Standard Form

The negative ...

Question

The negative of a negative rational number is always a ___ rational number.

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Solution

Positive
Let x be a positive rational number.
Then, - x is a negative rational number.
Now, negative of a negative rational number = - (- x) = x
= positive rational number.

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The negative of a negative rational number is always a ___ rational number.

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