Here is one way Malena proved that 2 (s+2) is equivalent to 4s+4

(1). 2 (s+2) + 2s=2s+4+2s

(2). = 2s+2s+4

(3). = (2+2) s+4

(4). = 4s+4

What properties of numbers and operations justify each step?

The properties of numbers and operations are justified for each step of Malena's is shown below

Step (1) 2 (s+2) + 2s (for our convenient we are adding 2s here)

=2 (s) + 2 (2) + 2s (by using the distributive property a (x+y) = ax+ay)

=2s+4+2s

Step (2) = 2s+2s+4 (by commutative property a+b=b+a)

Step (3) = (2+2) s+4 (by taking common term s)

Step (4) = 4s+4 (adding the like terms)

Therefore the given expression 2 (s+2) is equivalent to 4s+4

Step-by-step explanation:

Given that one way Malena proved that 2 (s+2) is equivalent to 4s+4.

To find properties of numbers and operations justify each step:

Malena's steps are

From the given expression 2 (s+2)

Malena added 2s on the given expression.

Step (1) 2 (s+2) + 2s (for our convenient we are adding 2s here)

=2 (s) + 2 (2) + 2s (by using the distributive property a (x+y) = ax+ay)

=2s+4+2s

Step (2) = 2s+2s+4 (by commutative property a+b=b+a)

Step (3) = (2+2) s+4 (by taking common term s)

Step (4) = 4s+4 (adding the like terms)

Finally we get the given expression 2 (s+2) is equivalent to 4s+4