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The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.

What is a rational number?

A rational number is one that has the form p/q, where p and q are integers and q is greater than zero. Some rational number examples are 1/3, 2/4, 1/5, 9/3, and so on.

The complete question is, Let x = 0.147 and let y = [tex]0.\overline{147}[/tex].  Is x a rational number? Is ya rational number? Which is larger, x or y?

Given the value of x is 0.147. As it can be written in the form of a fraction,

[tex]0.147 = \dfrac{147}{1000}[/tex], we can conclude that x is a rational number.

The value of y = [tex]0.\overline{147}[/tex] can also be written in the form of a fraction,

[tex]0.\overline{147} = \dfrac{147}{999}[/tex], therefore, we can conclude that y is also a rational number.

The value of y will be more as the number is repetitive, and both x and y initial three digits after the decimal are the same.

Learn more about Rational Numbers:

https://brainly.com/question/17450097

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