Question

What is the sign of the product (−5)(−2)(−7)(−6)?

Answer 1

positive

Explanation:

If an even amount of negative numbers are multiplied then the answer will be a positive number.

If an odd amount of negative numbers are multiplied then the answer will be a negative number.

This is because two negative cancel out to make a positive, so if there are an even amount of negatives then they will all cancel out evenly.

In this problem there are 4 negative numbers, which is an even number, so the sign of the product (answer) will be positive.

Answer 2

A positive number.

The answer is 420.

Explanation:

A negative number multiply by another negative number will give you a positive number.

A negative number multiply by another positive number will give you a negative number.

(−5)(−2)(−7)(−6)

So (-5) x (-2) will give you 10.

(−5)(−2)(−7)(−6)

= 10(-7)(-6)

Then 10 x (-7) will you -70.

10(-7)(-6)

= -70(-6)

And -70 x (-6) will give you 420.

-70(-6)

= 420