rational numbers
#S || Saprophobe²
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wise mossBOT
rational numbers
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@turbid cave
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can you post your problem here
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@turbid cave I know you mentioned rationals
But a number system is a system we use to write down and represent numbers
We typically use digits as notation to represent different numbers
Other examples include roman numerals or tallying scores
But lets stick to digits
Numbers represented with digits have values. 1 carries a specific value which is different from 2
And stringing together multiple digits gives different values too. For example, in the decimal number system we use ten digits to represent different numbers
0123456789
When we use multiple digits to represent a value, the order they are written in is important. The position of digits carries meaning
So 12 is not the same as 21
Anyways, we classify different sets of numbers into what is also called a number system
We call all positive whole numbers the set of natural numbers
0 is sometimes included and sometimes isnt. It depends on the literature
So numbers {1,2,3,4,...,etc} are called natural
We use the following letter to label the set of natural numbers:
proven rivetBOT
Ephesians 2:8-9
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We can further expand that set to also include negative whole numbers
This gives us the set of whole numbers or integers
So {...,-3,-2,-1,0,1,2,3,...}
And we use the following letter to represent that set:
proven rivetBOT
Ephesians 2:8-9
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Next we move on to numbers in between those already listed. So we know that in between any two numbers we can divide the number line further into smaller parts
We use fractions to represent subdivisions in between
Which are in the folliwing format:
$\frac{a}{b}$
proven rivetBOT
Ephesians 2:8-9
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Where a and b are integers, and b cannot be 0
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And after that, we can further divide that into numbers which cannot be represented as fractions. Such as decimals which repeat without patterns
To get the set of real numbers
Which we write as
proven rivetBOT
Ephesians 2:8-9
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An important note is that the naturals are a subset of the integers. Which just means that the set of integers also contains the naturals
Likewise, the integers are a subset of the rationals and so on
Hope that helps
@turbid cave
turbid cave
Tysm
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yw do you have any questions? @turbid cave
turbid cave
Statistics
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statistics?
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+close