Question

The reciprocal of a negative rational number is _______

(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

give answer with solved​

Answer 1

Answer:

b) is a negative rational number

Step-by-step explanation:

take -4/3 reciprocal is -3/4

Answer 2

To find:

The reciprocal of a negative rational number

Options:

1. a. a positive rational number
2. b. a negative rational number
3. c. can be either a positive or a negative rational number
4. d. does not exist

Step-by-step explanation:

Let us take a negative rational number $(-\dfrac{a}{b})$, where $a,b$ are positive integers with $b\neq 0$.

Then the reciprocal of $(-\dfrac{a}{b})$

$=\dfrac{1}{-\dfrac{a}{b}}$

$=-\dfrac{b}{a}$

This is also a negative rational number.

Final Answer: (b) a negative rational number

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