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Q: Does every repeating decimal correspond to a point on a real number line?

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No. A rational number is any terminating numeral. A repeating decimal is irrational.

Any rational number is either a repeating decimal, or a terminating decimal.

Yes. Every irrational number has a non-terminating, non-repeating decimal representation.

That is the definition of a rational number.

no cuz i said no

Yes- every terminating or repeating decimal number is rational.

Every rational number can be expressed as a fraction

Yes- every terminating or repeating decimal number is rational.

No, a rational number, expressed as decimal, is either a terminating decimal, such as 1/4 = 0.25, or a repeating decimal, such as 1/7 = 0.142857 142857 142857 ...

Yes, it may be a repeating decimal, such as 1/3 = 0.33333.... or 1/11 = 0.090909.... or something longer such as 1/7 = 0.142857142857142857.... where the '142857' is the repeating part. But every rational number (eg. fraction) can be mapped to a corresponding decimal equivalent.

All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.

Yes, but most of them (the irrational numbers) will have infinitely long, non-repeating representations.

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