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How many zeros are in the product of any non-zero whole number less than 10 and 5p0? Explain.

A) Infinite
B) 10
C) 5
D) 1

1 Answer

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Final answer:

The product of a non-zero whole number less than 10 and 5p0 will have a minimum of 'p' zeros, which corresponds to the power of ten in the original number. The exact number of zeros cannot be determined without knowing the value of 'p'. Therefore, we cannot select an answer from the given options as 'p' is not specified.

Step-by-step explanation:

The question asks about the number of zeros in the product of any non-zero whole number less than 10 and 5p0, where the character 'p' seems to stand for an unknown power of 10. The notation 5p0 seems to suggest a number that is 5 followed by 'p' zeros. Multiplying any single-digit non-zero number by 5 will result in a number ending in either 0 or 5. When this result is then multiplied by 10p, the decimal point will move 'p' places to the right, adding exactly 'p' zeros to the product.

If we assume 'p' to be a positive integer, the product would then contain 'p' zeros from the power of 10 being multiplied, plus one additional zero if the single-digit number multiplied by 5 ends in 0 (in cases where the single-digit number is 5). However, since we are asked for the number of zeros in the product and we consider any non-zero whole number less than 10, we also have to consider that a number like 1, 2, 3, or 4 (which are less than 5) when multiplied by 5 doesn't end in a zero. Therefore, the product will have 'p' zeros from the power of 10 and possibly one more if the non-zero whole number is 5, resulting in a minimum of 'p' zeros. As the question does not specify the value of 'p', the exact number of zeros cannot be determined from the given options (A) Infinite (B) 10 (C) 5 (D) 1, thereby not providing a sufficient answer to the question. However, if 'p' was specified, we could select the answer that indicates 'p' zeros, and possibly one additional zero if the whole number is 5.

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