Question

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

Answer 1

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 2

Option 2nd is correct

Associative Property of Multiplication

Explanation:

Associative property of multiplication :

For a, b and c in R we have;

`a \cdot (b \cdot c) = (a\cdot b) \cdot c`

As per the statement:

Given the expression:

`3x \cdot (7y \cdot 4)`

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

`(3x \cdot 7y) \cdot 4`

⇒
`3x \cdot (7y \cdot 4) = (3x \cdot 7y) \cdot 4`

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