###### Advertisements

###### Advertisements

Find six rational numbers between 3 and 4.

###### Advertisements

#### Solution

Let us take the 3 and 4 as rational numbers with denominator 6 + 1 = 7

Then the 6 rational numbers between 3 and 4 are

`3=(3xx7)/(1xx7)=21/7` and `4=(4xx7)/(1xx7)=28/7`,

We know that 21<22<23<24<25<26<27<28

`21/7<22/7<23/7<24/7<25/7<26/7<27/7<28/7.`

Hence, six rational numbers between 3=21/7 and 4=28/7 are

`22/7, 23/7, 24/7, 25/7, 26/7 " and " 27/7.`

#### APPEARS IN

#### RELATED QUESTIONS

Find five rational numbers between 3/5 and 4/5.

Find five rational numbers between 1 and 2.

State whether the following statement is true or false. Give reasons for your answers.

Every natural number is a whole number.

Express the following rational number as decimal:

`327/500`

Express the following rational number as decimal:

`15/4`

Express the following rational number as decimal:

`-4/9`

State whether the following statement is true or false. Justify your answer.

Every real number is an irrational number.

Find :-

`32^(1/5)`

Find :-

`32^(2/5)`

Simplify :-

`7^(1/2).8^(1/2)`