Math
What Is Numbers? Type of Numbers & Integer
Table of Contents
List of types of numbers
 Natural Number
 Whole Number
 Rational Number
 Real Number
 Irrational Number
 Imaginary Number
 Complex Number
 Hyper complex Number
 Integers
Numbers are classified based on its types. It could be a natural number, whole, signed number, rational numbers etc. The example of natural numbers is given below –
1, 2, 3, 4, 5, 6, …
The next popular category is the whole number starting with zero as shown below –
0, 1, 2, 3, 4, 5, 6, …
The number zero was discovered in India and used everywhere today in mathematical calculations. A number could be rational or irrational too. Here is an example of negative numbers below –
…, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, …
Rational numbers are technically written as the division or fraction of numbers or integers. In simple words, fractions are formed by dividing one integer by another integer.
Number representations
You must be confused about how to express or represent numbers in mathematics. For this purpose, we use the number system with special mathematical notations given by digits or symbols in a consistent manner.
There is one unique way to present every number and special arithmetic or algebraic structure is used for the same. It can also be given by arithmetic operations like addition, subtraction, division etc. Different type of number system in mathematics or computer world too are given below –
 Decimal number system (Base 10)
 Binary number system (Base 2)
 Octal number system (Base8)
 Hexadecimal number system (Base 16)
 Computer numeral system
 Fraction
 Scientific Notation
Every time you type a number or alphabet, it is translated to special binary numbers that are quickly understood by the computer. A computer can hold only a few symbols depending on the position and the value of the digit is calculated by –
 The digit
 It’s position in the number
 The base of the number system
Signed numbers
In mathematics, numbers are represented bya sign as well that are named as the signed numbers. Here, we have given the example of numbers with positive and the negative sign.
 Positive Number Signe
 Negative Number Signe
…, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, …
Sign and magnitude are frequently used together and they have its special meaning too. Instead of giving any special symbol, just add minus sign that is popular with the name negative binary.
Types of integer
Taking a step ahead in numbers, let us read out what is an integer and its different types too. Again, not every integer could be a whole number or a natural number. But all whole numbers and natural numbers could not be integers. The integers are also given in the form of negatives like 1, 2, 3 etc. and so on. This is easy to present the integers on graphs too either it is positive or negative.
 Even and Old Number
 Prime Number
 Composite Number
 Polygonal Number
 Square Numbers
 Pentagonal numbers
 Hexagonal numbers
 Heptagonal numbers
 Octagonal numbers
 Nonagonal numbers
 Decagonal numbers
 Dodecagonal numbers.
Nonstandard numbers
As we have discussed earlier, standard numbers are written simply in the mathematics world like 0, 1, 2 …. etc. For nonstandard numbers in mathematics, there are some additional elements available outside the initial segment.
 Transfinite numbers
 Ordinal numbers
 Cardinal numbers
 Infinitesimals
 Hyperreal numbers
 Surreal numbers

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