Select the correct reason for statement 3.

Prove: (9m) ∙ 4 + m = 37m

Statements Reasons
1. (9m) ∙ 4 + m 1. Given
2. 4 ∙ (9m) + m 2. Commutative Property
3. (4 ∙ 9) ∙ m + m 3.
4. 36m + m 4. Commutative Property
5. 37m 5. Addition

Question

Select the correct reason for statement 3.



 Prove: (9m) ∙ 4 + m =  37m
 

Statements Reasons 
1.   (9m) ∙ 4 + m 1.  Given 
2.   4 ∙ (9m)  + m 2.  Commutative Property 
3.   (4 ∙ 9) ∙ m  + m 3. 
4.   36m + m 4.  Commutative Property 
5.   37m 5.  Addition

aum · Answer

#3 Associative Property.
"associate" is "grouping".  4 * (9 * m) can be grouped as (4 * 9) * m  (Associative Property).