Question

What is the reason for statement 3 in the proof?. Prove –d + (d + e) = e. StatementReason. 1–d + (d + e) = (–d + d) + e1. Associative Property of Addition. 2= 0 + e2. Additive Inverse Property. 3= e3. ____________________. A. Definition of Addition. B. Identity Property of Addition. C. Commutative Property of Addition. D. Distributive Property

Answer 1

Option: B is the correct answer.

B. Identity Property of Addition.

Explanation:

We know that identity under addition is the element which when added to any elements gives the resultant as the same element.

i.e. if e is the identity of the set then,

a*e=a for all a belongs to the set, where * is the operation

We know that under addition operation the identity is the zero element.

Because if zero is added to any element than it gives the same element.

Reason. 1 -d+(d + e)=(-d+d)+e 1. Associative Property of Addition.

Reason 2 = 0 + e 2. Additive Inverse Property.

Reason 3 = e 3. Identity Property of Addition.

Answer 2

The correct answer to this question is letter "B. Identity Property of Addition." The reason for statement 3 in the proof is using the identity Property of Addition.

when u add 0 to some number, u get the original number back.