Express 0.99999 ..... in the form p/q .U will be surprised by your answer?
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2
99999..... / 100000.....
as may digits in the numerator those many zeroes
as may digits in the numerator those many zeroes
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Let x = 0.99999..... (1)
Multiply 10 both sides
10x = 9.9999...(2)
Subtracting equation 1 from 2
10x-x = 9.99999...... -0.99999
9x = 9
x= 9/9
x= 1
Multiply 10 both sides
10x = 9.9999...(2)
Subtracting equation 1 from 2
10x-x = 9.99999...... -0.99999
9x = 9
x= 9/9
x= 1
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