Question

What is the sign of the product (–5)(–3)(–8)(–6)?

A. Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive
B.Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive
C.Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative
D.Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative

Answer 1

b

Explanation:

Answer 2

The correct answer is B


`<u><b>EXPLANATION</b></u>`

Let us do the first product,

We have;


`(-5)* (-3)`

We can re-group the sign and the numbers to obtain;


`(-* -)(5* 3)`

But we know that; negative times negative is positive. So the product becomes,


`+(5* 3)`

Similarly for the second product,

We have;


`(-8)* (-6)`

We can again re-group the sign and the numbers to obtain;


`(-* -)(8* 6)`

But we know that; negative times negative is positive. So the product becomes,


`+(8* 6)`

Putting all together gives,


`+(5* 3) * +(8* 6)`

Finally, positive times positive will also give positive. That is,


`+(5 * 3)(8 * 6)`