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Real Numbers

Short Answer Type

51. The deciman expansion of the rational number

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will terminate after how many places of decimals?

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52. Write the prime factors of 84.

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53. Write the condition to be satisfied by q so that a rational number p/q has a terminating decimal expansion.

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54. Complete the missing entires in the following factor trees :

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55. Find the HCFF of 960 and 432.

i.e.
960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5
= 26 × 3 × 5
432

i.e.

960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5

= 2⁶ × 3 × 5

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

= 2⁴ × 3³

HCF (960, 432) = 2⁴ × 3

= 16 × 3

= 48

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56. Write the prime factors of 546.

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57. Write whether the rational number

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will have a terminating decimal or a non

terminating repeating decimal expansion.

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58. The HCF and LCM of hvo numbers are 9 and 360 respectively. If one number is 45. Write the other number.

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59. What is the exponent of 3 in the prime factorization of 864 ?

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60. Write the maximum number of factors of a prime number.

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