# 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.