Wednesday, December 4, 2013

Find number of zeroes at the end of product

Rule:
Convert the number in the form of 2m × 5n
  1. Number of zeroes = m, if m < n
  2. Number of zeroes = n, if n < m

Problems:
  1. Find the number of zeroes at the end of 24 × 32 × 17 × 13
    Solution: 24 × 32 × 17 × 13
    = 23 × 3 × 25 × 17 × 13
    As there is no 5 in it, so there will be no 0 in this product.
  2. Find the number of zeroes at the end of 8 × 15 × 25 × 22 × 13 × 19
    Solution: 8 × 15 × 25 × 22 × 13 × 19
    = 23 × 3 × 5 × 52 × 2 × 11 × 13 × 19
    = 24 × 53 × 3  × 11 × 13 × 19
    as there are power of 5 is lesser i.e. 3 so no of zeroes will be 3.


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