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Chapter 1: Q58. (page 21)

Explain whether 1 can be an additive identity. Give an example to justify your answer.

Short Answer

Expert verified

1 can never be an additive identity.

Step by step solution

01

Step 1. Additive identity.

Additive identity:

A number 鈥榓鈥� is additive identity if for any number 鈥榵鈥�

a+x=x+a=x

02

Step 2. DESCRIPTION OF STEP.

Now let 1 is additive identity than for any number x

1+x=x鈬�1=x鈭�x鈬�1=0

But this is a contradiction.

Thus, 1 can never be an additive identity.

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