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What property of multiplication is used in the sum eight times zero equals zero?
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In this example, we’re finding the product of the number eight and zero.
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Eight is a rational number.
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And we see that the product of this rational number and zero is zero.
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This has a special name.
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Because we’re finding the product of a rational number and zero, we call this the zero product property.
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And so, this is the property of multiplication used in this problem.
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And it says that the product of any rational number and the number zero is zero.