Q: What is the definition of repeating patterns?

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That's an irrational number.

Yes repeating decimals are real numbers. They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction. Nonreal numbers are imaginary numbers which are expressed with i, or sqrt(-1).

Because repeating decimals can be written as simple fractions.0.22222 repeating = 2/9The formal definition of a rational number is a number that can be in the form p/qwhere p and q are integers and q is not equal to zero.

Oh, what a happy little question! When we take the square root of 0.1111111111 repeating, we get 0.3333333333 repeating. It's like painting a lovely pattern of threes dancing together on our canvas of numbers. Just remember, math is all about finding beauty in the patterns and shapes it creates.

0.4 repeating = 44.44... repeating %.

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