What happens when you multiply a negative number by a positive number?

What happens when you multiply a negative number by a positive 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.

What is the product of a positive number and a negative number?

Properties of Multiplication: Negative Times Positive When you are multiplying a negative number and a positive number, the product will be a negative number. This is one of the special cases for multiplying positive and negative numbers together. Let’s do another example.

Is a positive multiplied by negative number is always positive?

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.

What is a negative multiplied by a negative?

When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.

When do you multiply a negative number by a positive number?

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. 3 times 4 equals 12. Additionally, what is the rule for dividing negative and positive numbers?

Which is an example of a multiplication of an integer?

Rules of Multiplication of Integers. The product of a Positive Integer and a Negative Integer is negative. Examples: 4 × ( – 6) = ( – 24); 9 × ( – 5) = ( – 45) The product of a Negative Integer and a Positive Integer is negative.

Is the product of two negative integers positive or negative?

The product of a Positive Integer and a Negative Integer is negative. The product of a Negative Integer and a Positive Integer is negative. The product of two Positive Integers is positive. The product of two Negative Integers is positive.

What happens when two integers are multiplied with different signs?

When two or more numbers with different signs ( + and −) are multiplied, then the output result varies, as per the sign rules given below: According to the closure property, if two integers a and b are multiplied, their product a × b is also an integer. Therefore, integers are closed under multiplication.