Choose all properties that were used to simplify the following problem: [38 + 677] + (-38) [677 + 38] + (-38) 677 + [38 + (-38)] 677 + 0 677 additive identity additive inverse commutative property of addition associative property of addition distributive property

We have to determine the properties used in the simplification of the given expression:

= (Commutative property of addition)

"Commutative property of addition states that for any real numbers say 'a' and 'b', a+b = b+a"

Now,  

= (Associative property of addition)

"Associative property of addition states that for any real numbers say 'a', 'b' and 'c',

a+(b+c) = (a+b)+c

Now,

= 677 + 0    (Additive inverse property)

A number 'a' is said to have an additive inverse '-a' if "a+(-a) = 0".

677 + 0

= 677 (Additive identity)

'0' is said to be additive identity if "a+0 = 0+a = a".