Home
Class 9
MATHS
Look at several examples of rational num...

Look at several examples of rational numbers in the form `P/q(q ne 0)`, where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy ?

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The numbers 1.bar27 in the form p/q , where p and q are integers and qne0 is

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

The value of 1.999 in thr form p/q, where p and q are integers and qne0 is

Express the following in the form p/q , where p and q are integers and q ne0 . 0.2

Express the following in the form p/q , where p and q are integers and q ne 0 :- 0.bar 6

MBD-Number Systems-Exercise
  1. Express 0.99999....... in the form P/q. Are you surprised by your answ...

    Text Solution

    |

  2. What is the maximum number of digits in the repeating block of digits ...

    Text Solution

    |

  3. Look at several examples of rational numbers in the form P/q(q ne 0), ...

    Text Solution

    |

  4. Write three numbers whose decimal expansions are nonterminating nonrec...

    Text Solution

    |

  5. Find three different irrational numbers between the rational numbers 5...

    Text Solution

    |

  6. Classify the following number as rational or irrational : sqrt23

    Text Solution

    |

  7. Classify the following numbers as rational or irrational : sqrt225.

    Text Solution

    |

  8. Classify the following number as rational or irrational : 0.3796

    Text Solution

    |

  9. Classify the following number as rational or irrational : 7.478478...

    Text Solution

    |

  10. Classify the following numbers as rational or irrational : 1.101001000...

    Text Solution

    |

  11. Find the decimal expansions of 10/3,7/8 and 1/7 .

    Text Solution

    |

  12. Find the decimal expansion of : 1/7.

    Text Solution

    |

  13. Show that 3.142678 is a rational number. In other words, express 3.142...

    Text Solution

    |

  14. Show that 0.3333... =0.bar3 can be expressed in the form p/q, where p ...

    Text Solution

    |

  15. Show that 1.272727... =1.bar27 can be expressed in the form p/q , wher...

    Text Solution

    |

  16. Show that 0.2353535... = 0.2bar35 can be expressed in the form p/q, w...

    Text Solution

    |

  17. Find an irrational number between 1/7 and 2/7.

    Text Solution

    |

  18. Visualize the representation of the number 2.668 on the number line.

    Text Solution

    |

  19. Visualize the representation of the number 5.3overline7 on the number ...

    Text Solution

    |

  20. Classify the following numbers as rational or irrational : 2-sqrt5

    Text Solution

    |