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Explain the properties of whole numbers.
Properties of whole numbers :
There are five properties of Whole Numbers, they are :
i. Closure property for addition and multiplication :
When we add or multiply two whole numbers we get a whole number.
For example,
$2+3=5 , 2\times3=6$ (Here, 2,3,5,6 are whole numbers)
ii. Commutative property for addition and multiplication :
We can add or multiply whole numbers in any order.
For example,
$2+3=3+2=5, 2\times3=3\times2=6$
iii. Associative property for addition and multiplication :
When we add or multiply two or more whole numbers grouped in any order we get the same result.
For example,
$( 2+3 )+5 = 2+( 3+5 ) =10 , ( 2\times3 )\times5 = 2\times( 3\times5 ) = 30$
iv. Distributive property for multiplication over addition and subtraction :
When multiplying a number by sum or difference of two numbers then the result is equal to the sum or difference of each number multiplied by the third number.
For example,
$2(3+5)=2\times3+2\times5=16$
v. Identity property for addition and multiplication:
When you add a zero to any whole number we get the same number.
For example,
$2+0=2+0=2$ When a whole number is multiplied by 1, its value remains unchanged, i.e., if x is a whole number then $x.1 = x = 1.x$
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