Question

How many zeros are in the product of any nonzero whole number less than 10 and 500?Explain your answer

Answers

  1. The number of zeroes in the product of any nonzero whole number less than 10 and 500 is at least 2, and hence, may be 3 in some cases.

    What is the number of zeroes in the product of any nonzero whole number less than 10 and 500?

    The non-zero whole numbers which are less than 10 ranges over the integers; 1, 2, 3, 4, 5, 6, 7, 8, 9.
    Hence, the numbers as indicated above when multiplied by 500 in a bid to determine the required products have varying number of zeroes from 500 to 4500 at 500 intervals.
    It therefore follows that for the odd numbers, their products and 500, yield a number with 2 zeroes while that of even numbers and 500, yields 3 zeroes.
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