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Why does a negative multiplied by a negative equal a positive?
Explanation: We know that negative times anything means that it will change the sign. Ideally, the second negative should change the sign of our original number (which is also negative). So, our original negative sign is changed into a positive sign when a negative is multiplied to it.
Why does a negative times a negative equal a?
Using the fact multiplication is commutative, a negative times a positive is also negative. Similarly, we can prove that a negative times a negative is a positive. Since we know that −ab is negative, and the sum of these two terms is 0, therefore (−a) × (−b) is positive.
Are two negative numbers always negative when you multiply them?
There are two simple rules to remember: 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.
When you multiply a negative times a positive?
When you multiply a negative number to a positive number, your answer is a negative number. It doesn’t matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.
When you multiply an even number of negative numbers the product is?
positive
If there are an even number (0, 2, 4.) of negative factors to multiply, the product is positive. If there are an odd number (1, 3, 5.) of negative factors, the product is negative.
What’s a minus times a plus?
Two ‘pluses’ make a plus, two ‘minuses’ make a plus. A plus and a minus make a minus.
What are the rules of multiplying negatives?
The rule of how to multiply negatives is simple: 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.
How do you divide and multiply negative numbers?
You multiply and divide positive and negative numbers “as usual” except for the positive and negative signs. So ignore the signs and multiply or divide. Then, if you’re dealing with two numbers, the result is positive if the signs of both numbers are the same, and the result is negative if the signs of both numbers are different.
What does negative times a positive equal?
Rule 2: A negative number times a positive number equals a negative number. When you multiply a negative number to a positive number, your answer is a negative number. It doesn’t matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number. The answer is -2 x 4 = -8.
How do you divide negative by positive?
Divide a positive number by a negative number. To do this, divide the integers as usual, then place a negative sign in front of the quotient. A positive number divided by a negative number is always negative. This also is the rule when dividing a negative number by a positive number.