Answer
Verified
423.9k+ views
Hint: In this question two integers are given and we have to find the three rational numbers between them. Since the numbers given are integers and also between these two numbers there are more than three integers. So simply we can write any of three integers which are lying between these two given numbers.
Complete step-by-step solution -
In the question, it is given that there are two integers -3 and 5 and we have to find three rational numbers between them.
-3 is a negative integer. Total integers lying between 0 and -3 are: -2,-1.
And 5 is a positive integer. Total integers lying between 0 and five are: 1,2,3,4.
We know that the definition of rational number is given as:
A rational number is a number which can be written in form of $\dfrac{{\text{p}}}{{\text{q}}}$, where p and q are integers and ${\text{q}} \ne {\text{0}}$ .
Therefore, we can say that all integers are rational numbers.
$\therefore $ Total integers lying between -3 and 5 are: -2,-1, 0, 1, 2, 3 and 4.
So the three rational numbers between -3 and 5 are -1, 0 , 1.
Note: In this type of question where two rational numbers are given and we have to find given numbers of rational numbers between them then if the two numbers are integers then simply the numbers lying between them will give the answer but if there are less numbers of integers between the two given integers than required. Then in such a case first make the denominator of two numbers same and then multiply both denominator and numerator by the same number and then find the required rational number between them.
Complete step-by-step solution -
In the question, it is given that there are two integers -3 and 5 and we have to find three rational numbers between them.
-3 is a negative integer. Total integers lying between 0 and -3 are: -2,-1.
And 5 is a positive integer. Total integers lying between 0 and five are: 1,2,3,4.
We know that the definition of rational number is given as:
A rational number is a number which can be written in form of $\dfrac{{\text{p}}}{{\text{q}}}$, where p and q are integers and ${\text{q}} \ne {\text{0}}$ .
Therefore, we can say that all integers are rational numbers.
$\therefore $ Total integers lying between -3 and 5 are: -2,-1, 0, 1, 2, 3 and 4.
So the three rational numbers between -3 and 5 are -1, 0 , 1.
Note: In this type of question where two rational numbers are given and we have to find given numbers of rational numbers between them then if the two numbers are integers then simply the numbers lying between them will give the answer but if there are less numbers of integers between the two given integers than required. Then in such a case first make the denominator of two numbers same and then multiply both denominator and numerator by the same number and then find the required rational number between them.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
What organs are located on the left side of your body class 11 biology CBSE
Write an application to the principal requesting five class 10 english CBSE
What is the type of food and mode of feeding of the class 11 biology CBSE
Name 10 Living and Non living things class 9 biology CBSE