multiply and divide integers

We learned that ___________ is always a factor of any number. 

And thats because _____________ by ____ doesnt change a number. 

That means, if you want to change a positive number into a negative number, all you have to do is multiply it by a factor of ________________.

7 x -3 = 

• -21

• 21

Multiplying by a factor of -1 just switches a number from the ____________ side of the number line to the _________ side.

Multiplying a negative number by another _____________ factor is actually going to switch the answer back to the ____________ side of the number line.

Multiplying by -1 acts like a ___________ no matter which side of the number line you start on.

If you start with a positive, then multiplying by -1 switches it to ______________.

But if you start with a negative, multiplying by -1 switches it back to ______________.

So, multiplying by 1 negative gives us a ____________

multiplying by 2 negatives gives us a ______________

Tell me what patterns do you see when multiplying by an even number of negatives and when multiplying by an odd number of negatives.