Home
Class 10
MATHS
A rational number in its decimal expansi...

A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the from `(p)/(q)` ? Give reason

Text Solution

AI Generated Solution

To express the rational number 327.7081 in the form \( \frac{p}{q} \) and analyze the prime factors of \( q \), we can follow these steps: ### Step 1: Convert the decimal to a fraction The decimal number 327.7081 can be expressed as: \[ 327.7081 = \frac{3277081}{10000} \] This is because there are four decimal places, which means we divide by \( 10^4 \) or 10000. ...
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|11 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise1 A|28 Videos
  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos
  • QUADRATIC EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|6 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

What can you say about the prime factorisations of the denominators of the following rationals:

What can you say about the prime factors of their denominators ? (i) 12.123456789 (ii) 12.bar(123456789)

A point is in the XZ–plane. What can you say about its y–coordinate?

Write the smallest 5-digit number and express it in the form of its prime factors.

What can you say about the pH of a solution that liberates carbon dioxide from sodium carbonate?

What can you say about the pH of a solution, that liberates carbon dioxide from sodium carbonate?

Find the number of terms in the expansion of (3p+4q)^(14)

When red litmus is added to a solution of borax, it turns blue. What can you say about the pH of borax solution?

One of the angles forming a linear pair is a right angle. What can you say about its other angle?

Write the greatest 4-digit number and express it in terms of its prime factors.