Question

which is the following is a rational number between 4 and 8 ​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

which is the following is a rational number between 4 and 8

(1) 3

(2) 6

(3) 8

(4) None of these

CONCEPT TO BE IMPLEMENTED

RATIONAL NUMBER

A Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p & q are integers with $q \ne \: 0$

EXAMPLE

$\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers$

CONCEPT TO BE IMPLEMENTED

A rational number between a and b is

$= \displaystyle \sf{ \frac{a + b}{2} \: }$

EVALUATION

Here the given two rational numbers are 4 and 8

Hence a rational number between 4 and 8 is

$= \displaystyle \sf{ \frac{4 + 8}{2} \: }$

$\displaystyle \sf{ = 6 \: }$

FINAL ANSWER

A rational number between 4 and 8 is 6

Therefore the correct option

(2) 6

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Answer 2

Given:

Rational numbers = 4 and 8

To Find:

Rational number between 4 and 8

Solution:

Finding the rational number between 4 and 8

= 4 + 8 /2

= 12/2

= 6

Similarly, finding out the other rational number -

= 4 + 6 /2

= 10/2

= 5

Thus, the numbers are 5 and 6

Answer: The rational numbers between 4 and 8 are 5 and 6.