Question

4
Make a chart on properties of Whole Numbers of Addition and Multiplication.
$121 {45 { {510}^{?} }^{?} }^{2}$
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Answer 1

$\green{\bold{\underline{\underline{Whole Numbers:-}}}}$

➡️The whole numbers are the number without fractions and it is a collection of positive integers and zero. It is represented as “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}

$\pink{\bold{\underline{\underline{Properties:-}}}}$

${\huge{\underbrace{\overbrace{\green{Closure Property:-}}}}}$

They can be closed under addition and multiplication, i.e., if x and y are two whole numbers then x. y or x+y is also a whole number.

${\huge{\underbrace{\overbrace{\blue{Commutative Property of Addition and Multiplication}}}}}$

The sum and product of two whole numbers will be the same whatever the order they are added or multiplied in, i.e., if x and y are two whole numbers x+y=y+x and x.y=y.x

${\huge{\underbrace{\overbrace{\white{Additive Indentity:-}}}}}$

When a whole number is added to 0, its value remains unchanged, i.e., if x is a whole number then x+0=0+x=x

${\huge{\underbrace{\overbrace{\red{Multiplicative Indentity :-}}}}}$

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

${\huge{\underbrace{\overbrace{\purple{Associative Property:-}}}}}$

When whole numbers are being added or multiplied as a set, they can be grouped in any order, and the result will be the same, i.e. if x, y and z are whole numbers then x+(y+z)=(x+y)+z and x.(y.z)=(x.y).z

${\huge{\underbrace{\overbrace{\brown{Distributive Property:-}}}}}$

If x,y and z are three whole numbers, the distributive property of multiplication over addition is x. (y+z)=(x.y)+(x.z), similarly, the distributive property of multiplication over subtraction is x. (y-z)=(x.y)-(x.z)

${\huge{\underbrace{\overbrace{\orange{Multiplication By zero:-}}}}}$

Division of a whole number by o is not defined, i.e., if x is a whole number then x/0 is not defined.