Question

Which rational number equals 0.2 with a bar over 2? A. 1/10 B. 1/9 C. 2/10 D. 2/9

Answer 1

D

Explanation:

0.2 with a bar over the 2 , means the 2 is repeated, that is

0.222.....

to express as a rational number , we require 2 equations with the repeating 2 placed after the decimal point

let x = 0.222.. → (1)

multiply both sides of (1) by 10

10x = 2.222... → (2)

subtract (1) from (2) , thus eliminating the repeating 2

9x = 2 ( divide both sides by 9 )

x =
`(2)/(9)`