Question

Write 5 rational numbers which are less than $\dfrac{5}{6}$ .

Answer 1

Hint: The numbers which lie to the left of a given number in the number line are said to be smaller than the given number. For example, 1 lies to the left of 2, so 1 is smaller than 2.

Complete step-by-step answer:

We have to find 5 rational numbers which lie to the left of $\dfrac{5}{6}$ on the number line. They can be easily found. The five numbers less than $\dfrac{5}{6}$ are-
$ - 3.\; - 2,\; - 1,\;0,\dfrac{{\;1}}{2}$
The first three numbers are negative and the fourth is zero, so they are clearly less than $\dfrac{5}{6}$ , also, $\dfrac{1}{2}$ is equivalent to 0.5 and $\dfrac{5}{6}$ is equivalent to 0.833.. Hence, it is also less than $\dfrac{5}{6}$ .

This is the required answer.

Note: Infinite rational numbers are possible that are less than any given number. So we can write any number of our choice, but on the condition that it is a rational number. An easier way to find 5 rational numbers is that we know that it is a positive number, so we can directly write any 5 negative numbers irrespective of their value.