What is a real number?
Q: What is a real number?
A: A real number is any rational or irrational number which can be expressed using decimal expansion. It is the most common type of number referred to when people say "number".
Q: What symbol represents real numbers?
A: The official symbol for real numbers is a bold R, or a blackboard bold R train {\displaystyle \mathbb {R} } .
Q: How are positive and negative numbers different?
A: Positive numbers are "bigger than zero", while negative numbers are "smaller than zero" and have minus signs (–) attached to them so that they can be labeled differently from the positive numbers.
Q: Are there more real numbers than integers?
A: Yes, there are infinitely many real numbers, whereas the integers are countable. This means that even though there are infinitely many of both types of number, there are still more real numbers than integers.
Q: Are all complex numbers also real numbers?
A: No, every real number is a complex number but not every complex number is a real number. Similarly, 3/7 is a rational number but not an integer.
Q: Is it possible to put all the real numbers into sequence?
A: No, because the set of all real numbers is uncountable which means that no matter how long the sequence may be it will always miss out at least one of them.
