Quiz (1 point)
Prove that:
a + a = a ⋅ 2
The following properties may be helpful:
- a ⋅ 1 = a
- a = a ⋅ 1
- (a ⋅ b) + (a ⋅ c) = a ⋅ (b + c)
- 1 + 1 = 2
if a = b, then a + c = b + c
if a = b, then b = a
if the following are true:
- a = b + c
- c = d
then a = b + d
if a = b, then c ⋅ a = c ⋅ b
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.