Math, asked by siddeshwari, 9 months ago

A rational number between 5 and 6 is​

Answers

Answered by Anonymous
24

Answer:

Five rational numbers between 5 and 6 are 5.1 , 5.2 , 5.3 , 5.4 and 5.5 . Note : It's answer can be different also.As there are infinite numbers of rational or irrational numbers between two numbers.

Answered by SejalMaisheri
5

Answer:

A rational number between 5 and 6 is 11/2 = 5.5

Step-by-step explanation:

1) What is a rational number?

A number of the form

 \frac{p}{q}

where p belongs to the set of integers

and q belongs to the set of natural numbers

is called a rational number. The set of rational numbers is represented by Q.

2) 5 and 6 are natural numbers, we have to find a rational number between them. There are infinite number of rational numbers between any two consecutive natural numbers.

3) To find one of them, we will just add a rational number less than 1 say x to 5 i.e. x + 5

Let

x  =  \frac{1}{2}

x + 5 =  \frac{1}{2}  + 5 =  \frac{1 + 10}{2}  =  \frac{11}{2}

So 11/2 is a rational number between 5 and 6

11/2 = 5.5

11/2 lies exactly in the middle of 5 and 6 in the number line.

Therefore one Rational number between 5 and 6 is 11/2

Similar questions