Find the identity element of the binary operation `**` on `ZZ` defined by `a**b=a+b+1` for all `a,binZZ`.

Prove that 0 is the identity element of the binary operation ** on ZZ^(+) defined by x**y=x+y for all x,yinZZ^(+) .

Find the identity elements if any for the binary operations defined by a**b=a+b+1,a,b inZ .

Find the identity element for the binary operation * on Z defined as a*b = a + b-5. Also find the inverse element of 100.

Find the identity element for the binary operation * on Z defined as a*b = a + b-5. Also find the inverse element of 100.

Find the identity elements if any for the binary operations defined by a**b=a+b+ab,a,b inQ-{-1} .

Define identity element for a binary operation defined on a set.

Define identity element for a binary operation defined on a set.

The identity element for the binary operation * defined on Q - (0) as a * b = (ab)/(2) for all a , b in Q - (0) is

Prove that the operation ** on ZZ defined by a**b=a|b| for all a,binZZ is a binary operation

For the binary operation * on Z defined by a*b= a+b+1 the identity element is