SOLUTION: hey I was wondering why -6*2 equals negative 12 not twelve isn't -6 times -2=12?

Question 947549: hey I was wondering why -6*2 equals negative 12 not twelve isn't -6 times -2=12?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
-6*2 is the opposite of 6*2.

--FURTHER INSTRUCTIVE COMMENTARY---
The proof or at least logical demonstration should be found in your book. You can start this way:
You already understand that , basic fact, easily demonstrated with repeated additions.

You may already understand, -6*2 means the same as 2*(-6), which is

and since you can refer to a numberline using signed numbers, you will find
.

Now you want to take the next step and understand how , the positive number. Try THIS:

but theoretically this still is not a proof for you. What it shows is THE OPPOSITE OF NEGATIVE 12.
, the positive quantity.

This can not be made much easier.

Do not be thrown off by the need to read the notation.
-6*2 means exactly the same as (-1)*6*2, which is or should obviously be .
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