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

$\dfrac{0}{4} = 0$ because $4(0) = 0$ $\dfrac{4}{0}$ is undefined because there is no real number that when multiplied by $0$ will give 4 as the product.
RECALL: If $\dfrac{a}{b} = c$, then $a = bc$ Thus, (i) $\dfrac{0}{4} = 0$ because $4(0) = 0$ (ii) $\dfrac{4}{0}$ is undefined because there is no real number that when multiplied by $0$ will give 4 as the product.