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

Which of the following people is most likely to be suffering from depression ? violet is very talented and very competitive tennis player. she loses her temper
what is the chance of rollin a 4 with a single die three in a row
how did changes in the Soviet Union affect people in other communist countries?
Dutton and aron had interviewers approach men crossing bridges in a senic state park, ask them to complete questionnaires, and give them their phone numbers in
The poetic interpretation of the twist is written in
What is the volume of a rectangular prism that is 120 centimeters by 2 meters by 1.5 meters in cubic meters? 3.6 3,600,00 360 36
What happens in a Bronsted-Lowry acid-base reaction?
Which statements match Justice Black’s argument? Check all that apply. Citizens are able to represent themselves easily. Even experienced citizens need legal su
La raza Unida was a
Write about a time you learned something new about yourself