Fewpal
+1 vote
2.7k views
in Mathematics by (105k points)

What is the condition for the decimal expansion of a rational number to terminate? Explain with the help of an example.

1 Answer

+2 votes
by (24.0k points)
selected by
 
Best answer

Solution: Let x = p/q be a rational number, such that the prime factorization of q is of the form 2m5n, where n, m are non-negative integers. Then x has a decimal expansion which terminates. 

Example:

Since the denominator is of the form 2m x 5n, the rational number has a terminating decimal expansion.

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

...