Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
10.3k views
in Mathematics by (15.6k points)

Give two rational numbers lying between 0.232332333233332 . . . and 0.212112111211112.

Please log in or register to answer this question.

1 Answer

0 votes
by (11.1k points)
edited by
Let, a = 0.212112111211112
And, b = 0.232332333233332...
Clearly, a < b  because in the second decimal place a has digit 1 and b has digit 3 If we consider rational numbers in which the second decimal place has the digit 2, then they will lie between a and b.
Let,
x = 0.22
y = 0.22112211...
Then,
a < x < y < b
Hence, x, and y are required rational numbers.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...