00:01
Every whole number is a real number.
00:02
Is that true or is that false? in order to understand how to answer this question, we've got to know everything about the real number system and how the numbers we use are categorized and how they relate to one of numbers.
00:17
So really we'll be looking for whole numbers and real numbers and how they relate to each other.
00:24
One way to answer this question is to create a visual that kind of categorizes in groups each kind of number.
00:32
The smallest group of numbers in our number system is what we call natural numbers.
00:40
Natural numbers are also referred to as counting numbers.
00:47
So when we count, we start with one.
00:49
Natural numbers also start with one, two, three, and they go on and on and on until you're done counting, or really just infinity.
00:59
So natural numbers do not include negatives and they do not include zero.
01:06
And that is just one group of numbers, a very, very small group.
01:12
One step above natural numbers is what we call whole numbers.
01:19
Whole numbers are natural numbers in addition to one other number.
01:27
Zero.
01:28
One, two, three, on and on and on.
01:32
So, as you can see, natural numbers is almost like a smaller group of whole numbers.
01:39
The only whole number that is not a natural number is zero.
01:45
That guy right there.
01:46
Every other number, one, two, all the way into infinity, is a natural number.
01:51
That being said, every whole number, because they belong inside of whole numbers.
01:58
So every natural number is a whole number...