Do the following arithmetic in base six. Explain your work.

a$)(102)six+(24)$ six

b$)(102)$ six $-(24)$ six

c$)(21)six(24)six$

d$)$ Convert $(102)$ six $,(21)$ six and $(24)$ six from base six to base ten. Explain your work.

e$)$ Check the calculations of parts a$),$ b$),$ and c$)$ by making base ten calculations.