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

Type a number for the types of journals that will be available to you in the new lma

Suggest why glucose is converted to glycogen rather than kept as glucose inside the cells

6root27+root243 simplify

Is the area of social psychology that explores how people select, interpret, remember, and use social information.

Technology is defined as human ________________ in action that involves the generation of knowledge and processes to develop systems that solve problems and ext

The two right-angled triangles below are similar, which means that they have the same angles. a) Write down the value of sin as a fraction in its simplest form.

The image of ΔABC after a reflection across Line E G is ΔA'B'C'. 2 triangles are shown. Line E G is the line of reflection. Line segment D D prime has a midpoin

why can't amylase digest other substances?

p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r= 2.

the equation of the line in the graph is y = (blank) x+ (blank)