Question

multiply the negative of 29/2 by its inverse

Answer 1

Negative of 29/2=-29/2

Inverse is 2/29

∴-29/2 × 2/29

=-1

Answer 2

Solution : When the negative of 29/2 is multiply by its inverse the answer is -1.

• An element 'b' is said to be the inverse of the element 'a' if a×b = e  where e is the identity.
• Here assume that $\frac{29}{2}$ belongs to the group of non zero real number under multiplication
• Now identity of non zero real number is 1
• To find the inverse of $\frac{29}{2}$ we have to find a real number 'b' such that $\frac{29}{2}$ × b = 1 so b is $\frac{2}{29}$
• Hence inverse of $\frac{29}{2}$ is $\frac{2}{29}$
• Now multiply negative of $\frac{29}{2}$ by its inverse
• which is -1 ×$\frac{29}{2}$×$\frac{2}{29}$ = -1
• So when the negative of 29/2 is multiply by its inverse the answer is -1.

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