Question

help for my holiday home wark

Answer 1

The property under multiplication are ↓


Commutative property ⇒ Ex. = a × b = b × a
( After replacing the digits the value remain same )  
Proof = 2 × 3 = 3 × 2 = 6 = 6 

Associative property ⇒ It doesn't matter how we group the numbers the product remains same 
Ex. = a × ( b + c ) = ( a × b ) × c 
Ex. = 21 × ( 1 × 3 ) = ( 21 × 1 ) × 3 = 63 = 63 


 Distributivity of multiplication over addition property 
⇒ a × (b + c) =a × b + a × c 

When we distribute value of one number the product remains same. 
Ex. = (-4) × {(-2) + (-3)) = (-4) × (-5) = 4 × 5 = 20 = 20 

 
Identity property ⇒ The integer 1 is called the multiplicative identity for integers. 
Ex. =  -3 × 1 = -3 


Hope it helps !