Negative and positive multiplication

Here we will learn about multiplying and dividing negative numbers including what negative numbers are and how to multiply and divide them. Numbers greater than zero are referred to as positive numbers.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Log in Sign up Search for courses, skills, and videos. Review the basic of multiplying negative numbers and try some practice problems. Want to learn more about multiplying negative numbers? Check out this video. Want to know why multiplying two negative numbers equals a positive number?

Negative and positive multiplication

You also have to pay attention to the signs when you multiply and divide. There are two simple rules to remember:. When you multiply two negative numbers or two positive numbers then the product is always positive. This is similar to the rule for adding and subtracting: two minus signs become a plus, while a plus and a minus become a minus. In multiplication and division, however, you calculate the result as if there were no minus signs and then look at the signs to determine whether your result is positive or negative. Two quick multiplication examples:. Since there is one positive and one negative number, the product is negative Turning to division, you may recall that you can confirm the answer you get by multiplying the quotient by the denominator. If you answer is correct then the product of these two numbers should be the same as the numerator. For example,. In order to check whether 4 is the correct answer, we multiply 3 the denominator by 4 the quotient :. For the denominator -3 to become the numerator , you would have to multiply it by 4, therefore the quotient is 4.

So we could write a positive times a negative is also going to be a negative. Posted a year ago.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Donate Log in Sign up Search for courses, skills, and videos. About About this video Transcript. Learn some rules of thumb for multiplying positive and negative numbers. Created by Sal Khan.

There are less rules when multiplying positive and negative numbers than in adding and subtracting positive and negative numbers. There are only three rules to remember:. This is the multiplication you have been doing all along, positive numbers times positive numbers equal positive numbers. When you multiply a negative number to a positive number, your answer is a negative number. Two negatives make a positive , so a negative number times a negative number makes a positive number. If you look at it on the number line, walking backwards while facing in the negative direction, you move in the positive direction. Two like signs make a positive sign:. Two unlike signs make a negative sign:.

Negative and positive multiplication

When learning negative numbers, many people get confused. This is because when you multiply or divide different signs, the signs change. In addition, when you multiply negative by negative, the sign becomes positive. Why does this happen? Few people can explain this reason. However, in order to understand mathematics, we need to solve the question beforehand. Once you understand the signs in multiplication, you will be able to solve not only division and powers but also advanced questions in four arithmetic operations.

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Of course, you can simplify it slightly. Non-necessary Non-necessary. On the number line below we can see some positive and negative integers whole numbers :. Next lessons. So one negative, one positive number is being multiplied. A simpler algebraic proof Using the fact multiplication is commutative, a negative times a positive is also negative. If you multiply six positive numbers,the products sign will be? Matthew Dinh. Problem 1. Posted 5 years ago. Please consider upvoting as this took me half an hour to make, and thank you for staying this long to read what I have to say about binomials!

We see numbers all around us.

Want to try some more multiplying negative numbers problems? And since we're going to start thinking about negative numbers in this video, one way to think about it I had a positive number times another positive number, and that gave me a positive number. On the same day the temperature at the north pole was 4 times as cold as it was in London. And so you would get to negative So this could be negative 2 plus negative 2 plus negative not negative plus negative 2, which would be equal to-- well, negative 2 plus negative 2 is negative 4 plus another negative 2 is negative 6. Please consider upvoting as this took me half an hour to make, and thank you for staying this long to read what I have to say about binomials! Scott at About. So if I multiply a negative times a positive, I'm going to get a negative. Numbers greater than zero are referred to as positive numbers. The negative and the negatives cancel out. Pj Harry W Tice.