Since irrational numbers are all those real numbers that aren't rational, the irrationals vastly outweigh the rationals; they make up all the remaining, uncountable real numbers.

Real numbers are, in fact, pretty much any number that you can think of. This can include whole numbers or integers, fractions, rational numbers and irrational numbers.

Decimal representations help identify them. Pi and Euler's number are irrational. Recognizing these numbers aids problem-solving. This distinction is vital for advanced mathematics.

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational ...

But irrational constants such as π and √2—numbers that cannot be reduced to a simple fraction—frequently crop up in science and engineering.