Question

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
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Answer 1

ANSWER

The reciprocal of a negative rational number is a negative rational number.

Answer 2

Answer :

Option (B) is correct

• The reciprocal of a negative rational number is a negative rational number. Since, the reciprocal of a number only interchanges the numerator to the denominator and vice versa. So, there is no change in the sign of the number.

✓ Option (A) is incorrect

• The reciprocal of a negative rational number is a negative rational number. Since, the reciprocal of a number only interchanges the numerator to the denominator and vice versa. So, there is no change in the sign of the number. Therefore, it is not a positive rational number.

✓ Option (C) is incorrect

• The reciprocal of a negative rational number is a negative rational number. Since, the reciprocal of a number only interchanges the numerator to the denominator and vice versa. So, there is no change in the sign of the number. Therefore, it is only a negative number not a positive rational number.

✓ Option (D) is incorrect

• The reciprocal of a negative rational number is a negative rational number. Since, the reciprocal of a number only interchanges the numerator to the denominator and vice versa. So, there is no change in the sign of the number. Therefore, the reciprocal of a negative rational number do exist.

$–-»Option ( b ) is correct.$