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
+1 vote
4.1k views
in Mathematics by (63.2k points)
edited by

Decide whether the real numbers are rational or not. If they are rational ,then write its p/q form.What can you say about the prime factors of q?

i)24.1352436789

ii).12346783940564543……

iii)41.2¯

1 Answer

+1 vote
by (130k points)
selected by
 
Best answer

Solution:

(i) 43.123456789 

Since this number has a terminating decimal expansion, it is a rational number of the form /
and q is of the form 2×5 i.e., the prime factors of q will be either 2 or 5 or both. 

(ii) 0.120120012000120000 … 

The decimal expansion is neither terminating nor recurring. Therefore, the given number is an irrational number.

iii) 41.2¯

Since, it has non-terminating but repeating decimal expansion, it is a rational number and q has factors other than 2 and 5 .

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

...