Which rational number equals 0.1 repeating?

0.1111.... = .

Step-by-step explanation:

Given  : 0.1 repeating

To find : Which rational number equals 0.1111......

Solution : We have given 0. 11111.........

We can see there is only one number is repeating , we will multiply it by 10

Let  x = 0.1111.......

Multiply both sides by 10

10x = 10 * 0.1111.......

10x = 1.1111.......

We can write it in terms of x

10x = 1. 000 + 0.11111....

10 x = 1 + x

On subtracting both sides by x

10 x -x = 1

9 x = 1

On dividing both sides by 9

x = .

0.1111.... = .

Therefore, 0.1111.... = .

Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.

hope i helped !! ;))