Asked by w
Convert 0.09¯¯¯¯¯ to a rational number in simplest form.(1 point)
Answers
Answered by
oobleck
no, 9/100 = 0.09
.09999999... = 1/10
.09999999... = 1/10
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
The repeating decimal 0.09¯¯¯¯¯ can be written as a fraction in simplest form as 1/10.
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