Add two negative numbers:
Think of -1 as a debt. I owe you $1. We bet a dollar on a football game and I win----> that's -1 minus 1 or -1-1 or ZERO. (I explain subtracting/adding numbers this way to simplify before we move on to multiplication/division).
Multiply two negative numbers:
Let's say I owe you $2. I have -$2, right? Assume you also owe me $2. In terms of each other, we both have -$2, ok?
We decide to go double or nothing on the following two football games (two GROUPS of -$2) I win the first game---> now I have zero, you still owe me two. I win the second game---> I still have $0, my debt is still clear and now you owe me $4, or -$4 for you....
Therefore negative 2 groups of negative 2 = a positive 4. Why---> I started at -2 and added two Groups of TWO to my amount, when we settle up. I will have gone from -$2 to +$2---> a net gain of FOUR or +4
---> (-2)(-2) = +4
QED
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If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.
when you multiply 2 of them it's positive, 3 and it stays negative.
The product of two negative numbers results in a positive number.
It is - as well as positive 3. Multiplying a negative number by another negative always results in a positive value. Therefore the square root of 9 can be either 3 or -3.
Three times negative one equals negative three. In mathematical terms, ( 3 \times (-1) = -3 ). This is because multiplying a positive number by a negative number results in a negative product.