Mark the correct alternative in each of the following: Let * be a binary operation on Q + defined by for all a, b ∈ Q + . The inverse of 0.1 is

Question

Philoid · Accepted Answer

For Identity element a * e = a = e * a , with ‘e’ being the identity element.

Given

For Inverse element a * b = e = b * a , with ‘b’ being the inverse element ‘a’.

Given

Now for a = 0.1

⇒ b =10⁵ is the required inverse element of a=0.1.