`0.8 + 0.88 + 0.888 + …`

Evaluate: (0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5)/(0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx 0.5)

Express the following in the form P/q where p and q are integers and q ne 0. (i) 0.2 , (ii) 0.888…. , (iii) 5.bar2 (iv) 0. bar(001) , ( v) 0.2555…. ,(vi) 0.1bar(34) (vii) 0.00323232….. ,(vii) 0.404040…

Find the sum 8 + 88 + 888 + ….. Upto n term.

Compute the sum of first n terms of the following series : 8 + 88 + 888 + 8888 ____

Copper gives two oxides. On heating 1.0 g of each in hydrogen gas, 0.888 g and 0.799 g of the metal are produced. Show that the results agree with the Law of Multiple Proportions.

8 + 88 + 888 + 8888+ 88888