Irrational / Rational Numbers and Recurring Decimals Every number is either rational or irrational, whether large or small, negative or positive.

Irrational numbers are real numbers that, when expressed as a decimal, go on forever after the decimal and never repeat. (Image credit: Shutterstock) ...

It’s that the golden ratio, among all irrational numbers, is the most irrational one. What can that mean? Either a number is the ratio of two whole numbers or it isn’t*.

Many people conceptualize irrational numbers by rounding them to fractions or decimals: estimating π as 3.14, which is equivalent to 157/50, leads to widespread celebration of Pi Day on March 14th.

Therefore, all of these rational and irrational numbers, including fractions, are considered real numbers. Real numbers that include decimal points are known as floating point numbers because the ...

A number like 1/7 needs infinitely many decimals to write down - 0.1428571428571… - but the numbers repeat themselves every six places, making it easy to understand.

Is π really irrational? Yes, really really. It is completely, unequivocally and blatantly not a rational number. The interesting question for me, and one I've accepted I'll never know the answer ...