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Q: Consider the decimal do you think this decimal represents a rational number why or why not?

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Every rational number can be expressed as a fraction

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.

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.)

The decimal representation of a rational number.

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

A decimal number can be rational or irrational.

That is the definition of a rational number.

If its a rational number then its decimal equivalent can be expressed as a fraction

It is still a rational number.

A decimal need not be a rational. A non-terminating, non recurring decimal is an irrational number. Only a terminating decimal or a recurring decimal is rational and that is because such a number can be expressed as a ratio of two integers.

The answer depends on what the ellipsis represents. I suspect that the number is not rational.

The answer depends on what the ellipsis represents. I suspect that the number is not rational.

Yes, it is. Any terminating or a non-terminating recurring decimal is a rational number. In this case, the decimal is terminated. And so, this number is a rational number.

A rational number is a number that can eb expressed as a ratio of two numbers. 1/3 is a rational number, with a decimal representation of 0.333333 ... .

Yes.

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

It is a rational number because it is a terminating decimal