SOLUTION: Round 143.064 to seven decimal places. (The horizontal bar is over the 64)

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Question 1126925: Round 143.064 to seven decimal places. (The horizontal bar is over the 64)
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
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143.064

(overbar over 64) means the 64 repeats without end 143.06464646464….
That number rounded to 7 decimal places is
——————
On a side note, if the digits repeat, then the number is rational (it can be expressed as a ratio of two integers). We can find that fraction as follows:
Let x = 143.064646464….
1. 10x = 1430.646464….
2. 1000x = 143064.64646464….

eq 2 - eq 1 gives:
990x = 143064 - 1430
990x = 141634
x = 141634/990 = <<< exact value




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