Respuesta :
Answer:
Option D is correct.
Explanation:
Commutative Property of Multiplication define that two numbers can be multiplied in any order.
i.e [tex]a\times b =b \times a[/tex]
Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.
[tex]a \times (b+c) = a\times b+ a\times c[/tex]
Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.
Given:
A = [tex]( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )[/tex]
B = [tex]4 \times ( 3+2)[/tex]
C = [tex] 4 \times 5[/tex]
then;
[tex]( 4\times 3) + (2 \times 4 )[/tex]
Using Commutative property of Multiplication we can write [tex]2 \times 4 = 4 \times 2[/tex] then we have;
[tex]( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )[/tex]
Using Distributive property of multiplication;
[tex]( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)[/tex]
by using associative property of multiplication ,
[tex]4 \times (3+2) = 4 \times 5[/tex]
Therefore, the reasons for A , B and C in this proof are;
A.commutative property of multiplication
B. distributive property
C. associative property of multiplication
