Question

The rational number that is equal to its negative.

Answer 1

If we are working with a number which has a long line of different decimals, then the number is irrational. If we are working with an integer or a number with terminal or repeating decimals like 1.333333, then the number is rational.

Complete step by step answer:
We know rational numbers are represented in $\dfrac{p}{q}$ where p and q both are integers and q is not equal to zero. Any fraction with non-zero denominators is a rational number. Hence, we can say that ‘0’ is also a rational number, as we can represent it in many forms such as $\dfrac{0}{1}$, $\dfrac{0}{2}$, $\dfrac{0}{3}$, etc. but, $\dfrac{1}{0}$, $\dfrac{2}{0}$, $\dfrac{3}{0}$, etc. are not rational.
$(i).$0 is a rational number but its reciprocal is not defined.
$(ii).$1 and –1are the rational numbers that are equal to their reciprocals.
$(iii).$0 is the rational number that is equal to its negative.
Hence our answer is, 0 is the rational number that is equal to its negative.

Note:
We must remember the definition of rational numbers and their properties for solving these types of questions. Also, we must remember the property of 0. It will help us to get a better and faster approach for these types of questions.