Question

Write five rational numbers greater than -2?

Answer 1

Hint:Here in the given question to find five rational numbers greater than -2, we need to know about the rational numbers. Rational numbers are the set of numbers, which is of the form $p/q$ where $p$ and $q$ can be any integers such that q is not equal to 0. On knowing the characteristics of rational numbers, it is easy to find them.

Complete step by step answer:
In the given question to find the rational numbers firstly, we need to know the characteristics of rational numbers. As we know that rational numbers should be of the form $p/q$ but in the question we are asked to find the rational numbers greater than -2, here we should know that in rational numbers the numerator and denominator are formed by integers.

Thus -2 is a rational number with numerator is -2 and denominator is 1 which can be represented as \[\dfrac{{ - 2}}{1}\]. This confirms us that integers are also considered as rational numbers. As integers include whole numbers and natural numbers, even they are considered to be rational numbers. Now as we know that integer numbers are positive and negative numbers, as we move on to the right side we get the greater number.

Therefore the five rational numbers greater than -2 will be -1, 0, 1, 2, 3.

Note:Remember there are different types in rational numbers like integers, fractions, terminating decimals and non-terminating repeating decimals. By this we get to know that rational numbers can be expressed as decimals because they are in the fraction form and all the properties of fraction can be applied to rational numbers.