Home
Class 10
MATHS
Has the rational number 441/(2^2 5^7 7^2...

Has the rational number `441/(2^2 5^7 7^2)` a terminating or a non-terminating decimal representation ?

Text Solution

AI Generated Solution

To determine whether the rational number \( \frac{441}{2^2 \cdot 5^7 \cdot 7^2} \) has a terminating or non-terminating decimal representation, we need to analyze the prime factorization of the denominator. ### Step-by-Step Solution: 1. **Identify the denominator**: The denominator is \( 2^2 \cdot 5^7 \cdot 7^2 \). 2. **Check the prime factors**: ...
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARDS|Exercise SECTION-D 39 (b)|1 Videos

Similar Questions

Explore conceptually related problems

Has the rational number (441)/(2^(2)xx5^(7)xx7^(2))a terminating or a non-terminating decimal representation?

The decimal form of the rational number (31)/(125) will be terminating or non-terminating recurring type ?

Terminating and Non-terminating recurring decimal

Terminating and Non-Terminating recurring decimal expansion

Without actually performing the long division. State whether the rational number 84/455 will have terminating decimal expansion on a 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 twhether the rational number (51)/(1500) will have a terminating decimal expansion ora non- terminating repeating decimal expansion.

Is the decimal form of (1)/(3125) terminating or non-terminating recurring?

State whether (6)/(200) has terminating or non-terminating repeating decimal expansion.

Which of the following numbers has the terminating decimal representation ?

X BOARDS-X Boards-All Questions
  1. Which term of the A.P. 3,15,27, 39, ... will be 120 more than its 21st...

    Text Solution

    |

  2. Delta ABD is a right triangle, right-angled at A and AC | BD. Prove th...

    Text Solution

    |

  3. Has the rational number 441/(2^2 5^7 7^2) a terminating or a non-termi...

    Text Solution

    |

  4. If the points A(4,3)a n dB(x ,5) are on the circle with centre O(2,3),...

    Text Solution

    |

  5. Prove that 2sqrt3 is an irrational number

    Text Solution

    |

  6. (ax)/b-(by)/a=a+b, ax-by=2ab

    Text Solution

    |

  7. If alpha,beta are the zeroes of a polynomial, such that alpha+beta=6 a...

    Text Solution

    |

  8. The sum of first six terms of an arithmetic progression is 42. The ...

    Text Solution

    |

  9. If the sum of first p terms of an AP is ap^2+bp find the common differ...

    Text Solution

    |

  10. S and T are points on the sides PQ and PR, respectively of Delta PQR,...

    Text Solution

    |

  11. In Figure 3, AD |BC and BD=1/3CD. Prove that 2 CA^2 = 2 AB^2 + BC^2.

    Text Solution

    |

  12. Find the ratio in which the point (2, y) divides the line segment join...

    Text Solution

    |

  13. Find the ratio in which the point (2, y) divides the line segment join...

    Text Solution

    |

  14. In Fig. 2, Delta AHK is similar to Delta ABC. If AK = 10 cm, BC = 3.5 ...

    Text Solution

    |

  15. Find the area of the quadrilateral whose vertices, taken in order, ...

    Text Solution

    |

  16. The area of an equilateral triangle is 49sqrt(3)c m^2 . Taking each an...

    Text Solution

    |

  17. A die is thrown twice. What is the probability that (i)   5 will no...

    Text Solution

    |

  18. Solve the following equation for x: 9x^2 - 9 (p+q)x + (2 p^2 + 5pq + 2...

    Text Solution

    |

  19. If P(2,p) is the mid-point of the line segment joining the points A(6,...

    Text Solution

    |

  20. Prove that the length of the tangents drawn from an external point to ...

    Text Solution

    |