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

The radius of a circle is 2 feet. What is the circle's circumference? r=2 ft
what is the gradiant of the graph
¿Que es la Silvicultura?​
PLEASE HELP ASAP 10. Mike and Pete together have $84.00. If Mike has $24.00, what is the ratio of Pete's amount to Mike's amount?
Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19
What is the function of the tendons?
According to the labor statistics document, which educational level has the highest median income?
Please choose the correct form!! ¿Por qué ______ tú tantas empanadas antes de salir para la cena? A. comerías B. comias C. comerás D. comieras thank you!!
The students in a class collected data on the number of minutes some of them spend brushing their teeth every day. That data is shown in the dot plot below. Wha
How do you write –514 11/12 as a decimal