# 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 $x.1 = x = 1.x$

Updated on: 10-Oct-2022

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