Multiplying

The rule of how to multiply negatives is simple: 
To multiply a negative number by any number, take the (positive) opposite of the negative number and multiply it by the other number, and take the opposite of that
====Negative by positive number====
For a case where a negative number is multiplied by a positive, the rule above can be restated as: take the positive number, and the negative WITHOUT the minus sign, multiply them and add the inus sign to the product. 
Example: multiply 5 and -3. 
Take 5 and -3 without the "-" sign: 5 and 3 
Multiply them: 5*3 = 15. 
Add the minus sign: -15. 
Conclusion: Product of a negative and a positive is always a negative number. 
====Negative by negative number====
When you have to multiply two negative numbers, such as (-5) * (-3), the rule above should be applied twice: 
(-5)*(-3) is the opposite of 5*(-3), which is the opposite of the opposite of 5*3. 
5*3 is 15 
Opposite of 15 s -15. 
Opposite of opposite of 15 is opposite of -15, and opposite of -15 is 15 again. 
Conclusion: Product of a negative multiplied by negative is always POSITIVE. 
Here's a handy table: sign of result when we multiply
Multiply:	Positive	Negative
Positive 	+ 	-
Negative 	- 	+
Examples: 
2*3=6
2*(-3) = -6
(-2)*3 = -6
(-2)*(-3) = 6 
Category:Multiplying