question_answer 9)

                Is 0.3 the multiplicative inverse of \[3\frac{1}{3}\]? Why or why not?

Answer:

                \[0.3=\frac{3}{10}\] \[3\frac{1}{3}=\frac{10}{3}\] Yes, 0.3 is the multiplicative inverse of \[\frac{10}{3}\] because \[\frac{3}{10}\,\times \frac{10}{3}\,=\frac{3\times 10}{10\times 3}\,=\frac{30}{30}\,=1\].