Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
i. 
ii. 
iii. 
iv. 
v. 
vi. 
(i) 
∵ denominator is of the form, 2n × 5m,
where n = 3 and m = 2.
∴ it is terminating in nature.
ii. 
∵ denominator is of the form, 2n × 5m,
125 = 5 × 5 × 5.
where n = 0 and m = 3.
∴ it is terminating in nature.
iii. 
∵ denominator is of the form, 2n × 5m,
800 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5
where n = 5 and m = 2.
∴ it is terminating in nature.
iv. 
∵ denominator is of the form, 2n × 5m,
1600 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5
where n = 6 and m = 2.
∴ it is terminating in nature.
v.
∵ denominator is of the form, 2n × 5m,
320 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5
where n = 6 and m = 1.
∴ it is terminating in nature.
vi. 
∵ denominator is of the form, 2n × 5m,
3125 = 5 × 5 × 5 × 5 × 5
where n = 0 and m = 5.
∴ it is terminating in nature.
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