is 0.121212... rational or irrational

5 answers

The number 0.121212... is rational.

To determine whether a number is rational or irrational, we need to check if it can be expressed as a fraction of two integers. The repeating decimal 0.121212... can be written as the fraction 12/99. Since both the numerator and denominator are integers, the number is rational.
is 0.121212... an integer or a natural number
The number 0.121212... is neither an integer nor a natural number.

An integer is a whole number that can be positive, negative, or zero. However, 0.121212... is a decimal number between 0 and 1, so it cannot be an integer.

A natural number, also known as a counting number, is a positive integer greater than zero. Since 0.121212... is not an integer, it cannot be a natural number either.
is 12 irrational?
No, the number 12 is not irrational.

An irrational number is a number that cannot be expressed as a fraction of two integers. However, 12 can be expressed as the fraction 12/1, where the numerator and denominator are both integers. Therefore, 12 is a rational number, not an irrational number.
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