Find the value of 1.999... in the form p/q, where p and q are integers and q not equal to 0
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Answered by
301
Hi ,
Let x = 1.9999..... -------( 1 )
Multiply equation ( 1 ) with 10
10x = 19.9999..... ------- ( 2 )
Subtract ( 1 ) from ( 2 ) ,
10x = 19.9999.....
- x = 1. 9999...
_________________
9x = 18
__________________
x = 18 / 9
x = 2
Therefore ,
x = 1.9999... = 2
I hope this helps you.
*****
Let x = 1.9999..... -------( 1 )
Multiply equation ( 1 ) with 10
10x = 19.9999..... ------- ( 2 )
Subtract ( 1 ) from ( 2 ) ,
10x = 19.9999.....
- x = 1. 9999...
_________________
9x = 18
__________________
x = 18 / 9
x = 2
Therefore ,
x = 1.9999... = 2
I hope this helps you.
*****
Answered by
65
Answer:
answer
I hope my answer is correct
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