Select all that justify the following statement. 3 + (y + 5) = y + 8
a)commutative - addition
b)distributive
c)associative - multiplication
d)symmetric
e)commutative - multiplication
f)associative - addition
g)identity - addition

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Select all that justify the following statement.

3 + (y + 5) = y + 8

commutative - addition

associative - addition


and it cant be identify because that uses the number 1


The statement is justified by these following properties:

a) commutative - addition

f) associative - addition

The addition operation has a few properties, such as:

  • It is commutative, that is, [tex]a + b = b + a[/tex].
  • It is associative, as [tex](a + b) + c = a + (b + c)[/tex].
  • The identity is: [tex]a + 0 = a[/tex]

In this problem:

  • No matter the order in which the factors are added, the result is y + 8, thus it is commutative.
  • Also, since it has three terms, the associative property is applied.

Thus, the properties used are:

a) commutative - addition

f) associative - addition

A similar problem is given at https://brainly.com/question/20683823