Question

What is the sign of the product (−2) × (4) × (−6) × (−3)?

Positive, because the products (−2) × (4) and (−6) × (−3) are negative and the product of two negative numbers is positive
Positive, because the products (−2) × (4) and (−6) × (−3) are positive and the product of two positive numbers is positive
Negative, because the product (−2) × (4) is positive and the product (−6) × (−3) is negative and the product of a positive number and a negative number is negative
Negative, because the product (−2) × (4) is negative and the product (−6) × (−3) is positive and the product of a negative number and a positive number is negative

Answer 1

All you have to do in this one is firstly multiply both (-2)x(4) and (-6)x(-3).

Multiplying (-2)x(4) gets us 18, a positive number.

And multiplying (-6)x(-3) gets us -8, a negative number.

Now if we multiply (−2) × (4) × (−6) × (−3) all together, it gives us a negative number: -144.

Meaning, it would be negative. But which of the last two options would you guess is the answer based on this work?

Answer 2

Remember

When you multiply a positive number with a positive number, you get a positive number
When you multiply a negative number with a negative number, you get a positive number

When multiply a positive number with a negative number, you get a negative number
And vice versa. i.e when you multiply a negative number with a positive number, you get a negative number

Summarized
(+) * (+) = (+)
(-) * (-) = (+)
(+) * (-) = (-)
(-) * (+) = (-)