Advertisement Remove all ads

If the Rational Number `A/B`Has a Terminating Decimal Expansion, What is the Condition to Be Satisfied by B? - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

If the rational number `a/b`has a terminating decimal expansion, what is the condition to be satisfied by b?

Advertisement Remove all ads

Solution

Let x be a rational number whose decimal expansion terminates.
Then, we can express x in the form `a/b`, where a and b are coprime, and prime factorization
of b is of the form (2m × 5n), where m and n are non-negative integers. 

Concept: Revisiting Rational Numbers and Their Decimal Expansions
  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×