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Recall that the multiplicative inverse of a number a is the number b such that ab = 1. For example, the multiplicative inverse of 3 is . Also recall that division is multiplication by a number’s multiplicative inverse. For example, to divide by 3, just multiply by . With these definitions, use complete sentences to explain why we can’t divide by zero.

User Littlebyte
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So, the multiplicative inverse of a number is a number that nullifies the impact of the number to identity 1. Thus the multiplicative inverse of a number is a number by which the multiplication results in 1. That is, number b is the multiplicative inverse of the number a, if a × b = 1.
User Dave Plug
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