ما هي مجموعة الأعداد الحقيقيه ( ح ) ؟

 Integer  are numbers that cannot be written as decimal

 numbers such as 3,4 and cannot be written as Fractions such

 as 2/4 In this article, we will know what the correct numbers

 are, what they are  defined, and what is the importance of the

 integers in our daily life and Mathematical operations on

 integers such as addition, subtraction, division and

 multiplication  of whole numbers, intersection, union and

 difference between Collections and important notes all of that

 and more in the Mathematics Genius Blog

?What is the definition of a set of integers

The set of integer numbers  of the number family, such as the

 set of natural numbers, prime numbers, and whole numbers

 are Numbers that have neither fractions nor decimal numbers,

 and are divided into positive and negative integers, the union

 of zero, or we can express them in numbers. The natural

 union of zero is the union of negative integers Classify these

 numbers into whole numbers and incorrect numbers (4, 455,

 4.5, 4/5, 7, and 9/4) Solve the problem The whole numbers

 are (4, 455, and 7). The incorrect numbers are (4.5, 4/5, and 9/4)

Important information

1. The set of integers is denoted by the symbol (r)
2. The group of natural numbers is symbolized by the symbol (i)
3. The set of positive integers is denoted by (y +)
4. The set of negative integers is denoted by the symbol (p-)
5. The group of counting numbers is symbolized by the symbol (p)

Intersection, union, and difference between groups

• Y - y- = i
• Y - i = r-
• Y + p-junction - = phi
• I union p - = p
• I union p + = i
• I - p = phi
• R- - p = phi
• P - p = phi
• P - p = phi
• I - i = phi

?Is there an importance to the whole numbers in our life

Yes, there is importance, as if a person understands the

 correct numbers, he will benefit greatly from them

1. We use the correct numbers in our daily life as we use them to pay bills, measure temperature and many other uses.
2. He will be able to avoid clerical issues
3. He will be able to correctly represent numbers on a number line
4. He will understand the properties of operations on numbers
5. Understand absolute value

Operations on integers

 Addition of whole numbers

 The commutative property is a property that is possible in

 addition where an integer + an integer = an integer such as 4 + -3 = 1 and the one is an integer at  Using the wildcard property, it is as follows -3 + 4 = and the one is an integer. We

 conclude that the addition is a possible operation The closing

 property is a property that is possible in addition where

 (integer) + integer = integer such as (-5) + 3 = -2 and negative

 2 is a number It is true that we conclude that seclusion is a

 possible property in combination Combining in addition is a

 possible operation because commutation is a possible

 operation in addition The additive neutral in mathematics is

 zero The additive inverse means we change the sign of the

 number like the additive inverse of 4 is -4

Important notes in the collection

1. Positive number + positive number = positive number
2. A negative number + a positive number = we judge according to the sign of the great, if the sign of the greater negative number results in a negative number and vice versa
3. Negative number + negative number = negative number

Example 1       4 + 3 = 4

Example 2        5 - 2 = 3

Example 3        4 - 6 = -2

Example 4    - 5 + -4 = -9

Subtracting whole numbers

The commutative property is a property that is not possible in

 subtraction, where when switching any two numbers, another

 number is produced, such as 4 - 5 = -1 and 5 - 4 =

 1. Difficulty, we conclude that the swap is a possible

 operation The closing property is a property enabled in

 subtraction where any two numbers are subtracted an

 integer The merge property is a property that is not enabled in

 subtraction since the substitution is not possible in subtraction

Important notes in the offering

1. Negative number - negative number = negative number
2. If a negative number occurs after subtraction, we convert - to positive

Example 1        4 - 3 = 1

Example 2       2 - 5 = -3

Example 3       4 - (-5) = 4 + 5 = 9

Multiplying whole numbers

The commutative property of multiplication is a possible

 operation as the transposition of the multiplication of any two

 integers produces an integer such as 4 x 3 = 12 When you

 multiply 3 x 4 = 12, we deduce that the substitution is a

 possible operation in multiplication The closed property of

 multiplication is possible, as when multiplying any two

 numbers in the following way results in an integer such as 4 x

 (5) = 20 we deduce from the example Previous that the

 process of closure is possible in beating The merging

 property in multiplication is a possible operation because the

 commutation is a possible operation in multiplication The

 multiplicative neutral is the integer, meaning when multiplying

 any integer x 1 = the same integer as 8 x 1 = 8

Important notes on multiplication

1. Positive integer x positive integer = positive integer
2. Negative integer x positive integer = negative integer
3. Negative integer x negative integer = positive integer

Example 1            5 x 3 = 15

Example 2         - 4 x 3 = - 12

Example 3           -2 x -4 = 8

Example 4              7 x 1 = 7

Dividing whole numbers

The commutative property is a property that is not possible in

 division, where when switching and dividing any two numbers

 results in another number such as 4/2 = 2 and 2/4 = 1/2 The

 two results are different. We conclude that the commutative

 property is not possible in division The closing property is not

 possible in the division, since when dividing 8 / -12 = 2/3 does

 not belong to the set of integers, we conclude that the

 operation Closure is not possible in the division

The merge property is a property that is not possible in the

 division as the substitution is not possible in the division

Important notes on dividing whole numbers

1. Positive integer / positive integer = positive integer
2. Negative integer / positive integer = negative integer
3. Positive integer / negative integer = negative integer
4. Negative integer / negative integer = positive integer

Example 1               20   /  4 = 5

Example 2            - 40   / 10 = -4

Example 3           -10   /  -5 = 2

what are the integers from 1 to 10

answer

( 2,3,4,5,6,7,8,9)= set of integers between 1 and 10