The natural numbers are the basis for many other number
combinations, such as the prime numbers And natural numbers we
see every day as we use them to drive calculations, measure
temperatures, and many other uses In this article we will learn about
what the natural numbers are, what is their definition, do they have
significance in our life, the most important observations for natural
numbers, is zero a natural number or not, is the number 2.5 a natural
number or not. We will learn all of that and more on the mathematics page in English
? What is the natural number
Natural numbers are part of the number system that includes
all positive integers and natural numbers It is a part of real
numbers that does not include only positive integers except
for decimal fractions, negative numbers and the number Natural is any positive integer, such as 1, 2, 3, 4, and
5, except for the infinite, and some scholars have added the
number zero or in another form. About it that it contains a
group of counting numbers, and some scholars added zero
? What are the count numbers
They are the positive numbers that start with the number one
and end with the infinite and are
drawn to the right of the number line from 1 to infinite
Examples of numbers counting 1, 2, 3, 4, 5, 6, and 7 to infinity
Intersection, union and difference between groups
- Natural numbers The union of numbers by count equals natural numbers
- Natural numbers The difference in count numbers equals group zero
- The number of count difference of natural numbers equals phi
- Count setting Difference count count equals phi
- Natural numbers The difference of natural numbers is equal to phi
- Zero natural number difference equals phi
- Zero difference count numbers remain zero
? What are the natural numbers less than 10
Solve the problem with numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9
? What are the individual natural numbers less than 8
Solve the problem with numbers 1, 3, 5, and 7
? What are the marital natural numbers less than 13
Solve the problem The numbers are 2, 4, 6, 8, 10, and 12
? What are the count numbers less than 6
Solve the problem The numbers are 1, 2, 3, 4, and 5
? What are the natural numbers confined between 14 and 20
Solve the next problem: The numbers are 15, 16, 17, 18, and 19
? What are the marital natural numbers confined between 100 and 110
Solve the next problem: The numbers are 102, 104, 106, and 108
? What are the individual normal numbers between 50 and 60
Solve the next problem: The numbers are 51, 53, 55, 57, and 59
? Is the number 0 a natural number
A natural number is any positive number, and some scholars have added zero
? Is 2.5 a natural number
The number 2.5 is not a natural number because natural numbers do not have decimal numbers
Operations on natural numbers in addition and multiplication
Addition and multiplication there are great similarities between them
Commutative property
Addition is a commutative process where 4 + 5 = 9 and 5 + 4 = 9 We conclude that addition is
a commutative process and that any natural number + natural number = natural number
Multiplication is an exchange process where 3 x 5 = 15 and 5 x 3 = 15 We conclude that
multiplication is a commutative operation i.e. a natural number x a natural number = a natural
number
Locking property
Addition is a closed process where (4 + 5) + 2 = 11 and (2 + 5) + 4 = 11 We conclude that
addition is a commutative process.
Multiplication is a closed process where (2 x 3) x 4 = 24 and (3 x 4) x 2 = 24 We conclude that
multiplication is a commutative operation
Collective neutral
The additive neutral in mathematics is 0
The multiplicative neutral
The multiplicative neutral in mathematics is 1
Merge property
Inclusion is possible in addition and multiplication since addition and multiplication are both
commutative operations
Operations on natural numbers in subtraction and division
The subtraction and the division there are great similarities between them
The commutative property
Subtraction is not a commutative process like 5 - 2 = 3 and 2 - 5 = -3 We conclude that
subtraction is not a commutative process and any natural number - natural number = natural
number
Division is not an exchange process where 15/3 = 5 and 3/15 = 1/5 we conclude that division
is not a commutative process and any natural number / natural number = natural number
Locking property
Subtraction is not a closed process since (4 - 2) - 1 = 1 and (1-2) - 4 = -5. We conclude that
subtraction is not a closed process.
The division is not a closed process as (4/2) / 3 = 2/3 and (3/2) / 4 = 3/8 We conclude that the
division is not a closed operation
Forgiveness property
Merging is a property that is not possible in division and subtraction because subtraction and
division are not a commutative process
Important notes
- The smallest natural number is one
- The smallest whole number is zero
- Every integer is a natural number except zero
- All natural numbers are whole numbers, but all integers are not natural numbers
- Negative numbers, fractions, and decimals are neither natural nor whole numbers
- The natural numbers are divided into even and odd numbers
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