I am having trouble to convert 1.8768686868... or 0.95287928792879... If there is a quick simple technique for this?

Lindsey Ibarra

Lindsey Ibarra

Answered question

2022-09-25

I am having trouble to convert 1.8768686868... or 0.95287928792879...
If there is a quick simple technique for this?

Answer & Explanation

ti1k1le2l

ti1k1le2l

Beginner2022-09-26Added 9 answers

Step 1
Let x = 1.8768686868... . eqn (1)
The repetition starts from 2 decimal places. This means we need to multiply (1) by 10 2 and get
100 x = 187.686868 eqn (2)
To cancel the .686868 we need another supporting equation:-
10000 x = 18768.686868 . eqn(3)
Do (3) – (2) and solve for x.
Ivan Buckley

Ivan Buckley

Beginner2022-09-27Added 4 answers

Step 1
 Repetition part starts in the thousandths spot and ends in the 10 thousandths spot. Let  x = 1.876868686868....  then  10 , 000 x = 18768.686868686868....  Now find the difference  10 , 000 x x = 18768.68686868... 1.8768686868.... = 18768.68 1.87 9 , 999 x = 18766.81  Now multiply both sides by 100:  999900 x = 1876681  now you can solve for  x

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