Question

Give reasons for each of the following steps:
35*100 = (3*10+5)100
= (3*10+5)10^2
= (3*10)10^2 + 5*10^2
= 3(10*10^2)+5*10^2
= 3*10^3 +5*10^2+
= 3*10^3+5*10^2+0*10+0*1
= 3500

Answer 1

35= 30 + 5 =\[3*10^{1} + 5*10^{0}\] because is decimal

remenber that \[10^{0}=1\]

Answer 2

\[100=10^{2}=10*10\]

(x+y)*z= (x*z)+(y*z)