Question

1. Indicate whether the value of each expression is positive or negative.

-3(-6)
(-3)(6)
-(-3)(6)
2(3)(-6)
-2(-3)(-6)
2(-3)(-6)

Answer 1

So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)

So going down the list:

(-3)(-6) = positive (two negatives!)

(-3)(6) = negative (one negative, one positive!)

-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)

(2)(3)(-6) = negative

(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)

(2)(-3)(-6) = positive

I hope this helps!