Q: If a number contains decimal places is it always an irrational number?

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When a decimal can't be expressed as a fraction then it is an irrational number.

Pi is an irrational number

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

An irrational number has a decimal representation that is non-terminating and non-repeating.

No.

Related questions

A decimal number can be rational or irrational.

Yes.

When a decimal can't be expressed as a fraction then it is an irrational number.

Pi is an irrational number

A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.

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

If it is a terminating or recurring decimal then it is not irrational. If it is an infinite, non-recurring decimal, it is irrational.

If the number of digits after the decimal point is finite, then the number will always be RATIONAL.

An irrational number has a decimal representation that is non-terminating and non-repeating.

An irrational number is a number that has no definite end and a terminating number is a number that has a definite end. So this means that a decimal that is terminating cannot be irrational.

No. If you write an irrational number as a decimal, it will have an infinite number of decimal digits that don't repeat periodically.

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.)