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10 September, 18:44

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

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  1. 10 September, 19:40
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    If the non-zero whole number is even, then there are 3 zeroes

    If the non-zero whole number is odd, then there are 2 zeroes

    Step-by-step explanation:

    * Lets explain the information in the problem

    - Whole numbers are positive numbers, including zero, without

    any decimal or fractional

    - Nonzero whole numbers are positive numbers, not including zero

    - The non-zero whole numbers less then 10 are:

    1, 2, 3, 4, 5, 6, 7, 8, 9

    - The product of any nonzero whole number less than 10 and 500

    means multiply any of nonzero number above by 500

    - The number of zeros in the product is equal to the sum of the

    number of zeros at the end of each of the factors.

    # 1 * 500 = 5 * 100 ⇒ 2 zeros

    # 2 * 500 = 2 * 5 * 100 = 10 * 100 ⇒ 3 zeros

    # 3 * 500 = 3 * 5 * 100 = 15 * 100 ⇒ 2 zeros

    # 4 * 500 = 2 * 2 * 5 * 100 = 2 * 10 * 100 ⇒ 3 zeros

    # 5 * 500 = 5 * 5 * 100 = 25 * 100 ⇒ 2 zeroes

    # 6 * 500 = 2 * 3 * 5 * 100 = 3 * 10 * 100 ⇒ 3 zeros

    # 7 * 500 = 7 * 5 * 100 = 35 * 100 ⇒ 2 zeroes

    # 8 * 500 = 2 * 2 * 2 * 5 * 100 = 4 * 10 * 100 ⇒ 3 zeros

    # 9 * 500 = 3 * 3 * 5 * 100 = 45 * 100 ⇒ 2 zeros

    - From all answers above:

    # If the non-zero whole number is even (2, 4, 6, 8), then there are

    3 zeros in the product

    # If the non-zero whole number is odd (1, 3, 5, 7, 9), then there are

    2 zeros in the product
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