WillQuance
contestada

Which algebraic property could be used to rewrite 3x ⋅ (7y ⋅ 4) as (3x ⋅ 7y) ⋅ 4? Associative Property of Addition Associative Property of Multiplication Commutative Property of Addition Commutative Property of Multiplication

Respuesta :

bobeld
This is an example of the associative property of multiplication.

The numbers can be associated in any way (as long as it is all multiplication)
 For example (2 x3 ) x 5 could also be expressed as 2 x (3 x 5).  (2 x 5) x3 also gives the same answer.  It doesn't matter how you associate them.

Answer:

Option 2nd is correct

Associative Property of Multiplication

Step-by-step explanation:

Associative property of multiplication :

For a, b and c in R we have;

[tex]a \cdot (b \cdot c) = (a\cdot b) \cdot c[/tex]

As per the statement:

Given the expression:

[tex]3x \cdot (7y \cdot 4)[/tex]

By definition of associative property of multiplication we can rewrite this as:

[tex](3x \cdot 7y) \cdot 4[/tex]

⇒[tex]3x \cdot (7y \cdot 4) = (3x \cdot 7y) \cdot 4[/tex]

Therefore, the Associative Property of Multiplication could be used to rewrite 3x ⋅ (7y ⋅ 4) as (3x ⋅ 7y) ⋅ 4