When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12.
Multiplying by a negative is repeated subtraction. When we multiply a negative number times a negative number, we are getting less negative. This analogy between multiplication and addition and subtraction helps students nicely connect the two concepts.
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
When We Multiply:
Example ⬇️
× two positives make a positive: 3 × 2 = 6
× two negatives make a positive: (−3) × (−2) = 6
× a negative and a positive make a negative: (−3) × 2 = −6
× a positive and a negative make a negative: 3 × (−2) = −6
I hope this helps!!