Answer:
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 )
Step-by-step explanation:
Given that one way Malena proved that 2(s+2) is equivalent to 4s+4.
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 )