I have been searching on internet for the meaning that why real numbers are called real numbers, I found many information on different websites like in https://www.cuemath.com/numbers/real-numbers/ , it is written, "Any number that can be found in the real world is a real number".
On the other hand I found on https://www.mathsisfun.com/numbers/real-numbers.html (bottom of the page), it is written, "Real does not mean they are in the real world. They are not called "Real" because they show the value of something real. In mathematics we like our numbers pure, when we write 0.5 we mean exactly half. But in the real world half may not be exact (try cutting an apple exactly in half)".
So why they are called Real Numbers? What is the reason?