Question
Identify the class of number given as 0.8888..., then write the given number as the quotient of two integers in it's simplest form
Answers
GPT 3.5
The given number 0.8888... is a repeating decimal, which is a rational number.
To write it as a quotient of two integers in simplest form, we can let x = 0.8888...
Multiplying both sides by 10, we get 10x = 8.8888...
Subtracting x from 10x, we get 9x = 8
Dividing by 9, x = 8/9
Therefore, 0.8888... = 8/9.
To write it as a quotient of two integers in simplest form, we can let x = 0.8888...
Multiplying both sides by 10, we get 10x = 8.8888...
Subtracting x from 10x, we get 9x = 8
Dividing by 9, x = 8/9
Therefore, 0.8888... = 8/9.