How do you multiply negative numbers

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 there is no sign in front of a number the number is positive.

When multiplying negative numbers, we get a negative answer if there are an odd number of negative numbers being multiplied. We get a positive answer if there are an even number of negative numbers being multiplied. When multiplying a negative number an odd number of times, the answer is negative. When multiplying a negative number an even number of times, the answer is positive. Order of operations also applies: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right.

How do you multiply negative numbers

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.

Do excercises Show all 4 exercises. Explanation : When multiplying a negative number an odd number of times, the answer is negative.

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We see numbers all around us. They may be positive or negative numbers. In this article we will look at the rules relate d to the multiplication of negative numbers and solve a few example problems to help in understanding the rules of multiplying negative numbers in a better way. Read More Read Less. There are two rules when multiplying negative numbers or integers:. When multiplying a positive integer and a negative integer, the product is always negative. Multiplying two negative integers always results in a product that is a positive integer.

How do you multiply negative numbers

Turning from addition and subtraction with negative numbers, we now turn to multiplying and dividing negative numbers. So how do we do multiplication and division with negatives? Actually, we've already covered the hard part! Multiplying and Dividing Integers. When we were subtracting a negative number, we saw that the minus the subtraction of a minus a negative number was a plus that is, it was the same as adding a positive number. In other words, you already know the rules for multiplying with negative numbers. To refresh:. Let's use, as our model, a hot-air balloon; turning on the burner is "positive" and causes the balloon to rise; adding more sand bags we're pretending that the bags are hovering in the air nearby for us to grab is "negative" and causes the balloon to sink. Then the rules for multiplying with negatives are:.

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On the same day the temperature at the north pole was 4 times as cold as it was in London. Necessary Necessary. We use essential and non-essential cookies to improve the experience on our website. Company name. Numbers greater than zero are referred to as positive numbers. Subject optional. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings. When you divide a positive number by a negative number then the quotient is also negative. When multiplying a negative number an even number of times, the answer is positive. Evaluate the following:. The table below shows the temperatures recorded in Manchester at different times of the day. Sign In. For example,.

When you are multiplying a negative number and a negative number, the product will be a positive number. There are slightly different rules for multiplying positive and negative numbers together.

Learning checklist You have now learned how to: Multiply and divide integers both positive and negative Use negative numbers in context and calculate intervals across 0. Non-necessary Non-necessary. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors. Explanation : First, we multiply —4 and 2. Numbers greater than zero are referred to as positive numbers. When multiplying negative numbers, we get a negative answer if there are an odd number of negative numbers being multiplied. Related lessons. Necessary Necessary. Track your scores, create tests, and take your learning to the next level! The table below shows the temperatures recorded in Manchester at different times of the day. In this case we have a number that is positive multiplied by a negative number minus times positive gives a minus. This category only includes cookies that ensures basic functionalities and security features of the website. On the number line below we can see some positive and negative integers whole numbers :. Close Privacy Overview This website uses cookies to improve your experience while you navigate through the website. With the help of the community we can continue to improve our educational resources.