Question

What are reasons A,B,and C in the proof?

A.(4*3)/+(2*4)/=(4*3)/+(4*2)/
B.=4(3/+2/)
C.=(4*5)/

Answers:

A.commutative property of addition
B.distributive property
C.Associative property of multiplication

A.commutative property of multiplication
B.associative property of multiplication
C.distributive property


A.distributive property
B.commutative property of multiplication
C.associative property of multiplication

A.commutative property of multiplication
B.distributive property
C.associative property of multiplication

Answer 1

Option D is correct.

Step-by-step explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e
`a* b =b * a`

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.

`a * (b+c) = a* b+ a* c`

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A =
`( 4* 3) + (2 * 4 )= ( 4* 3) + (4 * 2 )`

B =
`4 * ( 3+2)`

C =
`4 * 5`

then;

`( 4* 3) + (2 * 4 )`

Using Commutative property of Multiplication we can write
`2 * 4 = 4 * 2` then we have;

`( 4* 3) + (2 * 4 ) = ( 4* 3) + (4 * 2 )`

Using Distributive property of multiplication;

`( 4* 3) + (4 * 2 ) = 4 * ( 3+2)`

by using associative property of multiplication ,

`4 * (3+2) = 4 * 5`

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