Question

State true or false

The multiplicative inverse of $\frac{-1}{4}$ is $\frac{-1}{8}$.

• A. True
• B. False

Answer 1

The correct option is B False

If a real number x is not equal to zero, its multiplicative inverse is equal to 1/x. Hence the inverse of -1/4 is equal to

1 / (-1/4) = (1/1) / (-1/4) = (1/1)*(-4/1) = - 4

and therefore the statement "The multiplicative inverse of -1/4 is -1/8" is FALSE.