Write five rational numbers which are smaller than 2.
Last updated date: 17th Mar 2023
•
Total views: 305.4k
•
Views today: 7.84k
Answer
305.4k+ views
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.
Recently Updated Pages
If abc are pthqth and rth terms of a GP then left fraccb class 11 maths JEE_Main

If the pthqth and rth term of a GP are abc respectively class 11 maths JEE_Main

If abcdare any four consecutive coefficients of any class 11 maths JEE_Main

If A1A2 are the two AMs between two numbers a and b class 11 maths JEE_Main

If pthqthrth and sth terms of an AP be in GP then p class 11 maths JEE_Main

One root of the equation cos x x + frac12 0 lies in class 11 maths JEE_Main

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
