parthsarthi748 parthsarthi748
  • 04-03-2021
  • Mathematics
contestada

Find the value of 1.999.... in the form of p
q
where p and q are integers.

Respuesta :

LammettHash
LammettHash LammettHash
  • 04-03-2021

1.999… is exactly the number 2.

Let x = 1.999… . Then 1000x = 1999.999… . Subtract x from this to eliminate the fractional part, and you get

1000x - x = 1999.999… - 1.999…

1000x - x = 1999 - 1

999x = 1998

x = 1998/999 = 2/1 = 2

So p = 2 and q = 1.

Answer Link

Otras preguntas

If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
what other areas beside egypt did the new kingdom pharoahs conquer
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
which city was located nearest the nile river delta
what other areas beside egypt did the new kingdom pharoahs conquer
which city was located nearest the nile river delta
write words to match the expression. 24- ( 6+3)
Which two numbers have a difference of 5 and a product of 3.36???
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?