Home
Class 10
MATHS
Write the denominator of the rational nu...

Write the denominator of the rational number `257/5000` in the form `2^m xx 5^n`, where m, n and non-negative integers. Hence, write its decimal expansion without actual division.

Text Solution

Verified by Experts

The correct Answer is:
`2^(3) xx 5^(4), 0.0514`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Proficiency Exercise (Long Answer Questions)|9 Videos
  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Self -Assessment Test|11 Videos
  • REAL NUMBERS

    VK GLOBAL PUBLICATION|Exercise Proficiency Exercise (Short Answer Questions-I)|8 Videos
  • QUADRATIC EQUATIONS

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|11 Videos
  • TRIANGLES

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|10 Videos

Similar Questions

Explore conceptually related problems

Write the denominator of the rational number (257)/(5000) in the form 2^(m)xx5^(n), where m,n and non-negative integers.Hence,write its decimal expansion without actual division.

Write the denominator of the rational number ( 771)/( 3000) in the form 2 ^(p) 5 ^(q) , where p and q are non - negative integers

Assertion : 29/9261 will have a non-terminating repeating decimal expansion. Reason : Let a = p/q be a rational number such that p and q are co-prime and the prime factorisation of q is of the form 2^(n)xx5^(m) where n and m are non-negative integers (whole numbers). Then a has a decimal expansion, which is non-terminating repeating.

Write twhether the rational number (51)/(1500) will have a terminating decimal expansion ora non- terminating repeating decimal expansion.

Write whether the rational number (7)/(75) will have a terminating decimal expansion or non-terminating repeating decimal expansion .

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^(m)xx5^(n)xx5^(n) ,where m,n are non-negative integers.(3)/(8) (ii) (13)/(125) (iii) (7)/(80)

If (241)/(4000)=(241)/(2^mxx5^n) then find the value of m + n, where m and n are non-negative integers.

If (241)/(400)=(241)/(2^(m)xx5^(n)) then then find the value of m + n, where m and n are non-negative integers.

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^(m)xx5^(n)xx5^(n) ,where m,n are non-negative integers.(14588)/(625) (ii) (129)/(2^(2)xx5^(7))

VK GLOBAL PUBLICATION-REAL NUMBERS-Proficiency Exercise (Short Answer Questions-II)
  1. Show that 12^n cannot end with the digits 0 or 5 for any natural numbe...

    Text Solution

    |

  2. If n is an odd integer then show that n ^(2) -1 is divisible by 8.

    Text Solution

    |

  3. Find the HCF (210, 55) by Euclid's Division algorithm

    Text Solution

    |

  4. Find the greatest number that will divide 445, 572 and 699 leaving ...

    Text Solution

    |

  5. Write the denominator of the rational number 257/5000 in the form 2^m ...

    Text Solution

    |

  6. Using prime factorisation method, find the LCM or 21, 28, 36, 45.

    Text Solution

    |

  7. Prove that 1/ sqrt3 is irrational.

    Text Solution

    |

  8. Use Euclid's division algorithm to find the HCF of: (i) 4052 and 12576...

    Text Solution

    |

  9. Find the greatest number of 6 digits exactly divisible by 24, 15 an...

    Text Solution

    |

  10. express the given decimal expansion in the form of p/q 0.2bar26

    Text Solution

    |

  11. Show that 9^n cannot end with the digit 2 for any n in N.

    Text Solution

    |

  12. Express 3825 as product of its prime factors using factor tree.

    Text Solution

    |

  13. Find the HCF of 306 and 657 by the prime factorisation method. Hence f...

    Text Solution

    |

  14. Show that the square of any odd integer is of the form 4m+1, for some ...

    Text Solution

    |

  15. Show that 2sqrt3 is an irrational number.

    Text Solution

    |

  16. The length, breadth and height of a room are 8m and 25cm, 6m and 75m ...

    Text Solution

    |

  17. In a morning walk, three persons step off together and their steps mea...

    Text Solution

    |

  18. Find the LCM and HCF of the following pairs of integers and verify th...

    Text Solution

    |

  19. Find the largest number which divides 318 and 739 leaving remainder 3 ...

    Text Solution

    |