# Write five rational numbers which are smaller than 2.

Last updated date: 17th Mar 2023

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Answer

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Hint: At first define what rational numbers are and then try to tell that all the integers are rational numbers as it can be represented as $\dfrac{p}{q}$ form where q is equal to 1. So you can write any integer less than 2.

Complete step-by-step solution:

Here we have to find five rational numbers which are smaller than 2.

So before that first we will explain what rational numbers are.

In mathematics, a rational is a number that can be expressed as the quotient or fraction $\dfrac{p}{q}$ of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers often referred as “the rationals”, the field of rational numbers is usually denoted by a bold face Q; for example: $\dfrac{7}{3},2,1,\dfrac{5}{7}$,etc.

The decimal expansion of a rational number either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number.

For example: 0.25, 0.5, 0.83333…etc.

So now we were asked to find the five rational numbers less than 2 then it can be said that -3,-2,-1,0,1 are the five rational numbers less than 2 as we know that integers are all rational numbers.

Hence the five rational numbers less than 2 are -3,-2,-1, 0, 1.

Note: Students while solving questions on rational numbers from books they generally confuse themselves when their and the book's answer does not match. Actually this is because between any two numbers on a number line, there are infinite numbers of rational numbers. So they can choose any of them.

Complete step-by-step solution:

Here we have to find five rational numbers which are smaller than 2.

So before that first we will explain what rational numbers are.

In mathematics, a rational is a number that can be expressed as the quotient or fraction $\dfrac{p}{q}$ of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers often referred as “the rationals”, the field of rational numbers is usually denoted by a bold face Q; for example: $\dfrac{7}{3},2,1,\dfrac{5}{7}$,etc.

The decimal expansion of a rational number either terminates after a finite number of digits or begins to repeat the same finite sequence of digits over and over. Moreover, any repeating or terminating decimal represents a rational number.

For example: 0.25, 0.5, 0.83333…etc.

So now we were asked to find the five rational numbers less than 2 then it can be said that -3,-2,-1,0,1 are the five rational numbers less than 2 as we know that integers are all rational numbers.

Hence the five rational numbers less than 2 are -3,-2,-1, 0, 1.

Note: Students while solving questions on rational numbers from books they generally confuse themselves when their and the book's answer does not match. Actually this is because between any two numbers on a number line, there are infinite numbers of rational numbers. So they can choose any of them.

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