Home
Class 12
MATHS
Find the value of 0.32bar58...

Find the value of `0.32bar58`

Text Solution

Verified by Experts

Let `R=0.3258`
`implies R= 0.32585858585"....." " " "......(i)"`
Here, number of figures which are not recurring is 2 and number of figures which are recurring is also 2.
Then, `100R= 32.585858585"....." " " "......(ii)"`
and `10000R= 3258.585858585"....." " " "......(iii)"`
On subtracting Eq.(ii) from Eq.(iii), we get
`9900R= 3226`
`therefore " " R= (3226)/(9900)`
Hence, `" " R= (1613)/(4950)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 2|11 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the value of : 60 + (-58)-(-4)

Find the value of: (-13)+32-8-1

Find the value of beta , if the value of alpha is 0.95.

Find the values of 'a' and 'b' for which the following hold: {:[(3,2),(7,a)][(5,-2),(-7,b)] = [(1,0),(0,1)] .

Find the values of x, y and z from the equations [(x+y,2),(-5+z,xy)]=[(6,2),(-5,8)]

Find the values of x,y and z from the following matrix equations: {:[(x+y,6),(5+z,xy)]=[(6,6),(5,8)]

Find the values of x, y and z from the following equation: [[x+y,2],[5+z,xy]]=[[6,2],[5,8]]

Find the value of x for which |(3,x),(x,1)| = |(3,2),(4,1)|

ARIHANT MATHS-SEQUENCES AND SERIES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the value of 0.32bar58

    Text Solution

    |

  2. Let a,b,c be in A.P. and |a|lt1,|b|lt1|c|lt1.ifx=1+a+a^(2)+ . . . ."to...

    Text Solution

    |

  3. Evluate int (tan^(-1)x)/(1+x^2) dx

    Text Solution

    |

  4. If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...

    Text Solution

    |

  5. If a1, a2, a3,.....an are in H.P. and a1 a2+a2 a3+a3 a4+.......a(n-1...

    Text Solution

    |

  6. Let V(r ) denotes the sum of the first r terms of an arithmetic progre...

    Text Solution

    |

  7. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  8. Let V(r ) denotes the sum of the first r terms of an arithmetic progre...

    Text Solution

    |

  9. LetA(1),G(1),H(1) denote the arithmetic, geometric and harmonic means ...

    Text Solution

    |

  10. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  11. LetA(1),G(1),H(1) denote the arithmetic, geometric and harmonic means ...

    Text Solution

    |

  12. In a G.P of positive terms if any term is equal to the sum of the next...

    Text Solution

    |

  13. Suppose four distinct positive numbers a(1),a(2),a(3),a(4) are in G.P....

    Text Solution

    |

  14. The first two terms of a geometric progression add up to 12. The sum o...

    Text Solution

    |

  15. If the sum of first n terms of an A.P. is cn^(2) then the sum of squar...

    Text Solution

    |

  16. The sum to infinity of the series 1+2/3+6/3^2+14/3^4+...is

    Text Solution

    |

  17. Let Sk,k=1, 2, …. 100 denote the sum of the infinite geometric series ...

    Text Solution

    |

  18. Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 an...

    Text Solution

    |

  19. Check 2,4,6,8,10 are in A.P or not

    Text Solution

    |

  20. The minimum value of the sum of real numbers a^-5, a^-4, 3a^-3, 1,a^8 ...

    Text Solution

    |

  21. A man saves ₹ 200 in each of the first three months of his servies.In ...

    Text Solution

    |