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

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

lopus · Answer

35= 30 + 5  =$$3*10^{1} + 5*10^{0}$$ because is decimal

remenber that $$10^{0}=1$$

lopus · Answer

$$100=10^{2}=10*10$$

(x+y)*z= (x*z)+(y*z)