Question

Which one of these numbers is equal to the product of the other four numbers?

A: -2
B: 3/4
C: 1/6
D: -1/4
E: 9

(It says the answer is B but I don't know how to get it. Is the question wrong? If it is, what is the correct answer.)

Answer 1

B is correct

Explanation:

Product is the answer to a multiplication problem:

-2 (
`(1)/(6)`)(
`(-1)/(4)`)(9)

Can be written:

`(-2)/(1)`)(
`(1)/(6)`)(
`(-1)/(4)`)(
`(9)/(1)`) Multiple all of top numbers together and all of the bottom numbers together. Since we have 2 negative signs, the answer will be positive. When you are multiplying a group of numbers, count the negative signs. If you get an even number, your answer will be positive. If you get an odd number, your answer will be negative.

`(18)/(24)` Divide the top and bottom by 6 to simplify and you get

`(3\\)/(4)`