Natural numbers extend from 1 to positive infinity.
Real numbers are all numbers between negative infinity and positive infinity.
ALL natural numbers are real numbers, but NOT ALLreal numbers are natural numbers.
Chat with our AI personalities
Countably infinite means you can set up a one-to-one correspondence between the set in question and the set of natural numbers. It can be shown that no such relationship can be established between the set of real numbers and the natural numbers, thus the set of real numbers is not "countable", but it is infinite.
irrational numbers
It is the fact that real numbers are infinitely dense.
natural numbers are used in real life for counting, adding, subtracting and even for calculting money purposes
Rational numbers are numbers that can be written as a fraction. Real numbers are any number, including irrationals.