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A "rational number" is one that can be written as a fraction, with integers in the numerator and the denominator. When written as a decimal number, you'll get either a terminating decimal (e.g., 8 / 5 = 1.6), or a periodic decimal - one that repeats eventually, over and over again (e.g., 1 / 7 = 0.142857 142857 142857 ...).

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Q: How are decimal that are rational number described?

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Any decimal number that can be expressed as a fraction is a rational number

Yes. Any terminating decimal is a rational number. Any repeating decimal also.

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.

No. It is a rational number. Any repeating decimal or terminating decimal is rational.

It is a rational number.

Irrationals differ from Rationals by definition. If a real number is not a Rational Number then it is Irrational. One way to find out if a number is either Rational or Irrational is to look at its decimal value. If the digits past the decimal point terminate then it is a Rational number. If the digits past the decimal point repeat the same digit forever, of if it repeats a sequence of digits over and over, then it is a Rational Number. If the digits past the decimal point do not repeat in any pattern, and do not stop, then it is an Irrational number. Another way to find out if a number is Rational or Irrational is if it can be exactly described by a fraction (ratio). If it is the same as some fraction, then it is a Rational Number. Irrationals cannot be exactly described as a fraction.

It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.

Since 2.33333... is a repeating decimal (or recurring decimal), it is a rational number.

Decimals are real. They can be rational or irrational.

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)

A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction

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