express the following as vulgar digits (i) 0.17777..............
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Answer:
0.1777.... = 16/9
Step-by-step explanation:
It is given that a non terminating number 0.1777....
It is also non terminating and rec-curing number, which can be expressed as p/q form.
Let x= 0.1777....
100x = 17.7777
100x - x = 17.777... - x
99x = 17.6
Therefore x = 17.6/99 =176/99 = 16/9
0.17777 can be written as vulgar digits is 16/9 which is p/q form.
therefore 0.1777.... is a rational number
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