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

= 2^{4} × 5^{4} (law of exponent (ab)^{m} = a^{m} 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 Expertsview 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.

KC Sinha - Mathematics

Has the rational number a terminating or a non terminating decimal representation?

RD Sharma - MathematicsIf 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.

RS Aggarwal - Mathematics