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

A liter bottle of water has a mass of about how many kilograms?

The "second front" on the beaches at Normandy in France allowed the Allies to what?

what action by president lincoln most angered the radical reoublicans in congress

Which statement correctly describes an endothermic chemical reaction? (1) The products have higher potential energy than the reactants,and the ΔH is negative.(2

In any redox reaction, the substance that undergoes reduction will (1) lose electrons and have a decrease in oxidation number (2) lose electrons and have an inc

Compared to a 26-gram sample of NaCl(s) at STP, a 52-gram sample of NaCl(s) at STP has(1) a different density(2) a different gram-formula mass(3) the same chem

The molecular formula of glucose is C6H12O6. What is the empirical formula of glucose? (1) CHO (3) C6H12O6 (2) CH2O (4) C12H24O12

According to one acid-base theory, a water molecule acts as an acid when the water molecule (1) accepts an H+ (3) donates an H+ (2) accepts an OH– (4) donates a

Find the greatest common factor of the pair of numbers. 198 and 330

Which is bigger 20% of 300 or 1/4 of 200