anubhav99
Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

SOLVE IT WITH EXPLANATION :)​

SOLVE IT WITH EXPLANATION class=

Sagot :

[tex][Hello,BrainlyUser][/tex]

Answer:

13/100 ,  131/1000 , 33/250

Step-by-step explanation:

Question to Answer:

Two rational numbers between in the form p/q, where p and q are integers and q ≠ 0

Solve:

0.121221222122221 and 0.141441444144441

Thus, Number starting with 0.13  will be in between 0.121221222122221... and 0.141441444144441

Few Number Are:

0.13  , 0.131  , 0.132

= 13/100  ,  131/1000 ,  132/1000  

132/100   = 33/250

13/100 ,  131/1000 , 33/250 are few  rational numbers between   0.121221222122221... and 0.141441444144441  

Therefore, There always exist infinite rational number between any two distinct real number .

[CloudBreeze]

Step-by-step explanation:

Basically provided with two number 0.121221222122221 and 0.141441444144441 and asked to find the rational number between them in the form p/q where p and q are integers. (q ≠ 0).

First let's try to understand what rational number is! A rational number is a number which can be written in the form of fraction and denominator can't be zero. As already said in question; in the form p/q where q ≠ 0.

For instance:

→ 13/100 = 0.13 or 0.1313131313....

[ x = 0.131313...

[ 100x = 13.13131...

[ On subtracting we get 99x = 13, x = 13/99 ]

→ 131/1000 = 0.131

[ x = 0.1313131...

[ 1000x = 131.13131...

[ On subtracting we get 999x = 131, x = 131/999 ]

→ 132/1000 = 0.132

[ x = 0.132132...

[ 1000x = 132.132132...

[ On subtracting we get 999x = 132, x = 132/999 ]

Hence, 0.13, 0.131, 0.132 are some of the rational numbers between 0.121221222122221 and 0.141441444144441.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.