Convert 0.09¯¯¯¯¯ to a rational number in simplest form.(1 point)

Answer 1

0.09¯¯¯¯¯ can be written as 0.0¯¯¯¯9.

Let x = 0.09¯¯¯¯¯.

Then, 10x = 0.9¯¯¯¯¯

Subtracting the equation x = 0.09¯¯¯¯¯ from the equation 10x = 0.9¯¯¯¯¯, we get:

10x - x = 0.9¯¯¯¯¯ - 0.09¯¯¯¯¯

9x = 0.81

Dividing both sides of the equation by 9 gives:

x = 0.09 = 9/100

Therefore, 0.09¯¯¯¯¯ can be rationalized as the fraction 9/100 in simplest form.

Answer 2

no, 9/100 = 0.09

.09999999... = 1/10

Answer 3

You are correct, my apologies for the mistake.

The repeating decimal 0.09¯¯¯¯¯ can be written as a fraction in simplest form as 1/10.