Question

Insert two rational and irrational number between 2.357 amd 3.121

Answer 1

Two rational numbers are2.4, 2.5
Two irrational numbers are 2.4010010001.....,
2.51010110111....

Answer 2

Answer:

Two rational number between 2.357 and 3.121 are 2.555 and 2.587.      

Two irrational number between 2.357 and 3.121 are 2.5679364548.... and 2.9865376353...          

Step-by-step explanation:

Given : Numbers 2.357 and 3.121.

To find : Two rational number and irrational; number between given numbers?

Solution :

Rational number is defined as the number which can be written in the form of p/q where p and q are the integers and q is non-zero.

Rational numbers are terminating and repeating.

Irrational number is defined as the number which cannot be written in the form of p/q where p and q are the integers and q is non-zero.

Irrational numbers are non-terminating and non-repeating.

Rational Numbers between 2.357 and 3.121.

$2.375=\frac{2375}{1000}$

$3.121=\frac{3121}{1000}$

Two number between 2375 and 3121 are 2555 and 2587.

So, Two rational number between 2.357 and 3.121 are 2.555 and 2.587.

Irrational Numbers between 2.357 and 3.121.

1) 2.5679364548....

2) 2.9865376353...

So, Two irrational number between 2.357 and 3.121 are 2.5679364548.... and 2.9865376353...