Question

The negative of a negative rational number is a positive rational number. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is A True

Let y be a positive rational number.

Then,

The negative of y is = – (- y)

= y

Let us consider $\frac{-3}{4}$ is a negative rational number.

Then negative of negative rational number $=–(-\frac{3}{4})$

$=\frac{3}{4}$ (positive rational number)

NOTE: As per the arithmetic operations of integers, we know that

(+) × (+) = +	Plus x Plus = Plus
(+) x (-) = –	Plus x Minus = Minus
(-) × (+) = –	Minus x Plus = Minus
(-) × (-) = +	Minus x Minus = Plus

Hence, the given statement is True