If 10x=0.3bar-0.2bar find the value of x
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Concept
A bar over the number in a decimal number indicates that the number is repeating indefinitely. Such numbers are called repeating or recurring decimal numbers.
Given
an equation
10x = 0.3bar - 0.2bar
Find
we need to find the value of x as given in the above equation
Solution
We have 10x = 0.3bar - 0.2bar
Here, 0.3bar = 0.333..
and 0.2bar = 0.222...
Thus, the equation can be written as
10x = 0.333... - 0.222...
10x = 0.111
or 10x = 0.1bar
x = (0.111...)/10
x = 0.0111...
or x = 0.01bar
Thus, the value of x in the given expression is 0.0111... or 0.01bar.
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