Write the following in decimal form and say what kind of decimal expansion each has : (i) `(36)/(100)` (ii) `1/(11)` (iii) `4 1/(11)` (iv) `3/(13)` (v) `2/(11)` (vi) `(329)/(400)`

Explanation

(i) `36/100`
`=0.36`
It is terminating decimal expansion.

(ii) `1/11`
`=0.909090909090`
`0.bar(09)`
It is non-terminating recurring decimal number.

(iii) `4 1/11`
`=45/11`
`=4.090909090909`
`=4.bar09`
It non-terminating decimal number.

(iv) `3/13`
`=0.230769230769230769230769`
`=0.bar230769`
It is a non-terminating recurring decimal number.

(v) `2/11`
`=0.18181818181818181818`
`=bar0.18`
It is no-terminating recurring decimal number.

(vi) `329/400`
`=0.8225`
It is terminating decimal number.