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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