Convert 0.3 into a rational number form.
Let x = 0.3
This means x = 0.3333........ I
There is one digit in the recurring decimal part. Hence multiplying both sides by 10.
10x = 03.33.......II
Subtract I from II, we get
9x = 3
x = 3/9 = 1/3
0.3 = 1/3
Directions: Prove the procedure described above. Convert the given recurring decimal into rational form. Also write at least ten examples of your own.