I Armaan Barak help face difficulty in learning all the properties of whole numbers. can any of the expert teacher of math help me?it's a type of test for expert teacher and please don't think that its not a problem. answer me fast.

sorry but i m not a math expert
Closure property
Whole numbers are closed under addition and multiplication. Whole numbers are not closed under subtraction and division. If a and b are any two whole numbers, then a+b, axb are also whole numbers.

Commutative property
The sum of two whole numbers is the same, no matter in which order they are added. This is called the commutative property of addition. The product of two whole numbers is the same, no matter in which order they are multiplied. This is called the commutative property of multiplication. Subtraction and division are not commutative in whole numbers. If a and b are any two whole numbers, then a+b = b+a and a×b = b×a.

Additive Identity
A whole number added to '0' remains unchanged. Thus, '0' is called the additive identity in whole numbers. If a is any whole number, then a + 0 = a = 0 + a.

Multiplicative Identity
A whole number multiplied by 1 remains unchanged. Thus, 1 is called the multiplicative identity in whole numbers. If a is any whole number, then a × 1 = a = 1 × a.

Associative property
While adding whole numbers, we can group the numbers in any order. This is called the associative property of addition. While multiplying whole numbers, we can group them in any order. This is called the associative property of multiplication. If a, b and c are any two whole numbers, then (a+b)+c = a+(b+c) and (a×b)×c = a×(b×c).

Distributive property
The product of a whole number with the sum of the two other whole numbers is equal to the sum of the products of the whole number with other two whole numbers. This is called the distributive property of multiplication over addition. If a, b and c are any two whole numbers, then a(b+c) = a×b + a×c.

The product of a whole number with the difference of the two other whole numbers is equal to the difference of the products of the whole number with other two whole numbers. This is called the distributive property of multiplication over subtraction. If a, b and c are any two whole numbers, then a(b–c) = a×b – a×c.

Multiplication by zero
Product of a whole number by zero is equal to zero. If a is any whole number, then a × 0 = 0 = 0 × a.

Division by zero
Division of a whole number by 0 is not defined. If a is any whole number, then a ÷ 0 is not defined.

If a is any whole number, then a ÷ 1 = a.
If a is any non-zero whole number, then a ÷ a = 1.
If a is any non-zero whole number, then 0 ÷ a = 0.

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i may not be an expert but i will still answer u
closure property
addition and multiplication are closed
ex: 7*5=35  
5+7= 12
sum or product of any number is a whole no.

commutative property
we can switch the order of two numbers
it does not matter which no. comes first 
addition and multiplication are commutative
for ex: 100+8= 8+100
          100*8=  8*100
associative property
addition and multiplication are associative 
they are grouped in addition and multiplication and it does not affect the result

ex(2+10)+16 =  2+(10+16)
(2*10)*16 =     2* (10*16)


 
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distributive property

this property is called distributive property over addition

example =  (10*24)
             = (10*20+4)
            =   10*20
            =   200
           = 10*4
           =  40
           =200+40
       =  240
 
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ADDITIVE IDENTITY 
WE USE 0 IN THIS IDENTITY BECAUSE ANY  NUMBER WE ADD WITH 0 WE GET THE SAME NUMBER ITSELF
EX: 448675648+0=448675648

MULTIPLICATIVE IDENTITY
WE USE THE NUMBER 1 IN THIS IDENTITY BECAUSE ANY NUMBER MULTIPLIED BY 1 GIVES THE SAME NUMBE
EX: 566*1=566

HOPE THIS WAS USEFUL

 
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thanks for helping me friends and also you sir
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UR MOST WELCOME
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