# There are two integers -3 and 5. Find three rational numbers between the two given numbers?

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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.

Last updated date: 27th Sep 2023

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