Without actual division, show that each of the following rational numbers is a non-terminating repeating decimal.
i. 
ii. 
iii. 
iv. 
v. 
vi. 
vii. 
viii. 
(i) Denominator is 23 × 3 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(ii) Denominator is 22 × 33 × 5 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(iii) Denominator is 22 × 53 × 72 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(iv) Denominator is 35 = 5 × 7 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(v) Denominator is 210 = 2 × 3 × 5 × 7 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(vi) Denominator is 147 = 3 × 7 × 7 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(vii) Denominator is 343 = 7 × 7 × 7 which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.
(viii) Denominator is 455 = 5 × 91, which is not in the form 2n × 5m
∴ the fraction will not be a terminating decimal.