Home
Class 10
MATHS
The following real numbers have decimal ...

The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form `(p)/(q)` what can you say about the prime factors of q ?
(1) 43.123456789
(2) 0.120120012000120000
(3) `43.bar123456789`

Text Solution

Verified by Experts

The correct Answer is:
2 and 5
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise PRACTICE THOROUGHLY|11 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise OBJECTIVE QUESTIONS|28 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.3|3 Videos
  • QUESTION PAPER-2

    KUMAR PRAKASHAN|Exercise Section C|14 Videos
  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions|24 Videos

Similar Questions

Explore conceptually related problems

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 4.123

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 0.1201201...

Is zero a rational number ? Can you write it in the form (p)/(q) , where p and q are integers and q ne 0 ?

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 43.bar(12)

Express the following decimals in the form of p/ q , and write the prime factors of q. What do you observe? 0.bar(63)

If p ,q , in {1,2,3,4}, then find the number of equations of the form p x^2+q x+1=0 having real roots.

Without performing division, state whether the following rational numbers will have a terminating decimal form or a non-terminating, repeating decimal form. 23/(2^(3).5^2)

Kurthi said sqrt2 can be written (sqrt2)/(1) which is in (p)/(q) form. So sqrt2 is a rational number. Do you agree with her argument?

Find the number of distinct rational numbers x such that 0 lt x lt1 and x=p//q , where p ,q in {1,2,3,4,5,6} .