## Introductory Algebra for College Students (7th Edition)

By definition, in a division problem, when you divide a number (the dividend) by another number (the divisor), you are actually multiplying the dividend by the multiplicative inverse of the divisor. Because $0$ has no multiplicative inverse, it is impossible to divide by it.
By definition, in a division problem, when you divide a number (the dividend) by another number (the divisor), you are actually multiplying the dividend by the multiplicative inverse of the divisor. Because $0$ has no multiplicative inverse, it is impossible to divide by it.