#### Write the decimal expansion of each of the following numbers and say what kind of decimal expansion each has:

(i) 36/100

(ii) 4 1/8

(iii) 2/9

(iv) 2/11

(v) 3/13

(vi) 329/400

**Solution:**

**(i) 36/100**

36/100 = 0.36

It is a terminating decimal.

**(ii) **4 1/8

4 1/8 = (4×8 + 1)/8 = 33/8

33/8 = 4.125

It is a terminating decimal.

**(iii) **2/9

2/9 = 0.222

It is a non-terminating recurring decimal.

**(iv) 2/11**

2/11 = 0.181

It is a non-terminating recurring decimal.

**(v) 3/13**

3/13 = 0.2317692307

It is a non-terminating recurring decimal.

**(vi) 329/400**

329/400 = 0.8225

It is a terminating decimal.

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