Which number is a irrational number 0.12 0.1257486 0.12121212 0.111111

none that I can see

0.1257486

= 1257486/10000000 , which is rational

An irrational number cannot be expressed as a fraction or a decimal and its decimal representation goes on forever without repeating. Out of the given options, the number 0.1257486 is rational because its decimal representation terminates. The numbers 0.12, 0.12121212, and 0.111111 are rational too as they have repeating patterns. Therefore, none of the given options are irrational numbers.

To identify which of the given numbers are irrational numbers, let's first understand what an irrational number is. An irrational number is a real number that cannot be expressed as a fraction of two integers. It cannot be written as a terminating or repeating decimal.

Now, let's look at the given numbers:
1. 0.12: This is a rational number since it can be expressed as a fraction of two integers (12/100 = 6/50 = 3/25).
2. 0.1257486: This is also a rational number since it can be expressed as a fraction of two integers.
3. 0.12121212: This is a repeating decimal, but it is a rational number because it can be expressed as a fraction.
4. 0.111111: This is a repeating decimal as well, but it is also a rational number since it can be expressed as a fraction.

Based on the given numbers, none of them are irrational numbers. All the numbers can be expressed as fractions or repeating decimals, which means they are rational numbers.

0.1257486