Question

Write five rational numbers which are greater than $\dfrac{-3}{2}?$

Answer 1

Hint: We know that a number is called a rational number if it can be expressed in the form of a fraction of two integers. That is, $\dfrac{p}{q}$ is a fraction if $p$ and $q$ are integers. There are negative rational numbers and negative rational numbers.

Complete step-by-step answer:
Let us consider the given number $\dfrac{-3}{2}.$ As we can see, this is a negative rational number. We are asked to find five rational numbers that are greater than this number.
We know that the set of rational numbers contains an infinite number of elements. So, we will be able to find a lot of rational numbers that are greater than the given number.
Let us convert the given number to the decimal form so that we can find the position of the given number in the number line.
So, we will get $\dfrac{-3}{2}=-1.5.$
We know that the numbers $-1,-0.5,0,0.5,1,1.5,...$ are rational numbers for they correspond to the fractions $\dfrac{-1}{1},\dfrac{-1}{2},\dfrac{0}{1},\dfrac{1}{2},\dfrac{1}{1},\dfrac{3}{2}...$ respectively.
Also, we know that the numbers are arranged in the descending order in the number line as we go to the left. That clearly means that the numbers are in the ascending order to its right side.
Hence the numbers $\dfrac{-1}{1},\dfrac{-1}{2},\dfrac{0}{1},\dfrac{1}{2},\dfrac{1}{1}$ are five rational numbers greater than $\dfrac{-3}{2}.$

Note: Every integer is a rational number for it can be expressed as a fraction with denominator $1.$ The numbers that are not rational numbers are called irrational numbers. Irrational numbers cannot be expressed as a fraction of two integers.