91Ó°ÊÓ

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) \(\frac{13}{3125}\) (ii) \(\frac{17}{8}\) (iii) \(\frac{64}{455}\) (iv) \(\frac{15}{1600}\) (v) \(\frac{29}{343}\) (vi) \(\frac{23}{2^{3} 5^{2}}\) (vii) \(\frac{129}{2^{2} 5^{7} 7^{5}}\) (viii) \(\frac{6}{15}\) (ix) \(\frac{35}{50}\) (x) \(\frac{77}{210}\)

Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

Find the \(L C M\) and HCF of the following pairs of integers and verify that \(L C M \times H C F=\) product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54

Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12,15 and 21 (ii) 17,23 and 29 (iii) 8,9 and 25

Check whether \(6^{n}\) can end with the digit 0 for any natural number \(n\).

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?