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Q: Why the product of a multiple of ten and a multiple of ten will always have only one zero?

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I am not entirely sure what you mean; a multiple of 10 can have more than one zeros. For example, 20 x 10 = 200.

The product of zero and any number is always 0.

Yes.

A multiple is a product of that number and any other non-zero integer.

No, but the only exception is if the rational number is zero.

Anytime you multiply a number by zero, the product will always be zero. Thus, whenever a number, regardless of its value, is multiplied by zero, there is only one possible solution: zero.

When you divide zero by anything or multiple anything by zero, the answer will always be zero.

0: The product of 0 and any number, including zero itself. is always zero.

A multiple

If one is zero, then the product is always zero.(Think about it ... you take 279 zero times. How much do you have ?)

a multiple

the product will always end in zero

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