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Is the rational number 441/(2^2 5^7 7^2)...

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

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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 can follow these steps: ### Step 1: Factor the numerator First, we need to factor the numerator, which is 441. The prime factorization of 441 can be done as follows: - Divide by 3: \( 441 \div 3 = 147 \) - Divide by 3 again: \( 147 \div 3 = 49 \) ...
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With out actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion : (i) (17)/(8) (ii) (64)/(455) (iii) (29)/(343) (iv) (129)/(2^(2)5^(7)7^(2)) (v) (6)/(15) (vi) (27)/(210)

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:(i) (13)/(3125) (ii) (17)/8 (iii) (64)/(455) (iv) (15)/1600 (v) (29)/(343) (vi) (23)/(2^35^2) (vii) (129)/(2^25^77^5) (viii) (6)/(15) (ix) (35)/(50) (x) (77)/(210)

Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. (23)/8 (ii) (125)/(441) (iii) (35)/(50)

Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. (77)/(210) (ii) (129)/(2^2xx5^7xx7^(17))

Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the number of places of decimals after which the decimal expansion terminates. (15)/(600) (ii) (13)/(3125) (iii) (23)/(2^3 5^2)

Without actually performing the long division, state whether the following rational numbers will have terminating decimal expansion or a non-terminating repeating decimal expansion. Also, find the number of places of decimals after which the decimal expansion terminates. (17)/8 (ii) (64)/(455) (iii) (29)/(343)

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions
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  2. Find the value of tan 60^@ geometrically

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

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  5. Prove that 2sqrt3 is an irrational number

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

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

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

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

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  10. Draw a right triangle in which sides (other than hypotenuse) are of le...

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

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

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

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

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

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

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

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

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

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