Question

What is 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

Answer 1

Commutative Property means the order of operations doesn't matter.

The ∙ operator is commutative , meaning that A ∙ B = B ∙ A

Answer 2

does reason 2. make sense?

Answer 3

yes

Answer 4

The Associative properly say that parentheses dont matter,
for an associative operator \(\star\)
\[A\star (B\star C)=(A\star B)\star C\]

Answer 5

The ∙ operator is also an associative operator.

Answer 6

i need to solve number 3

Answer 7

lines 2 & 3 are

2. 4 ∙ (9m) + m
3. (4 ∙ 9) ∙ m + m

the only difference is that
4 ∙ (9 ∙ m) has become (4 ∙ 9) ∙ m