Q. 474.3( 6 Votes )
A rational number in its decimal expansion is 327.7081. what can you say about the prime factors of q when this is number is expressed in the form P/q? give reasons
Answer :
The decimal number 327.7081 can be written in the form of a fraction
⇒
Here, q = 10000
The prime factors of 10000 are 2 and 5.
∵ 10000 = 10⁴
= (2 × 5)⁴
= 24 × 54 (law of exponent (ab)m = am b m)
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Fundamental Theorem of Arithmetic-238 mins
Interactive Quiz:Euclid's Division Lemma44 mins
NCERT | Imp. Qs. on Rational and Irrational Numbers44 mins
Champ Quiz | Fundamental Principle Of Arithmetic41 mins
Fundamental Theorem of Arithmetic- 143 mins
Quiz | Imp Qs on Real Numbers37 mins
Euclids Division Lemma49 mins
Application of Euclids Division Lemma50 mins
Relation Between LCM , HCF and Numbers46 mins
Quiz | Fun with Fundamental Theorem of Arithmetic51 mins




















Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Write down the decimal expansions of the following numbers which have terminating decimal expansions.
Has the rational number a terminating or a non terminating decimal representation?
If the rational number a/b has a terminating decimal expansion, what is the condition to be satisfied by b?
RS Aggarwal - MathematicsShow that there is no value of n for which (2” × 5”) ends in 5.
RS Aggarwal - MathematicsExpress as a rational number in simplest form.