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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