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

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

Why did Major League Baseball owners support segregation by 1890? They feared that African Americans would not pay to watch white players. They wanted to pay th

Compare 5.7145... and √29.

What physical activities/ lessons/health/ wellness topics would you like to learn about this year in PE? If there are already PE activities you are passionate a

Why did cities develop along goergias fall line

The perimeter of a square field is 400 meters. How long is each side of the field?

why do artists make memeorials

What is the central idea of Edna St. Vincent Millay’s poem "The Courage That My Mother Had"? The narrator admires her mother’s beauty and courage. The narrator

A location to which you compare other locations is a

If an object is traveling 30 m/s for 5 seconds, how far has the object traveled?

PLZZZZZ HELP 1. The worst case of desertification occurs in the Sahel region. Why? 2. Most deforestation is caused by...? 3.What three major rivers in Africa a