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.

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

How do you multiply negative numbers

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. First, we multiply —4 and 2. Two odd numbers multiplied always result in an even number. Simply multiple the two as though they were even. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. 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. Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

More classes on this subject Pre-Algebra Explore and understand integers: Absolute value Pre-Algebra Explore and understand integers: Adding and subtracting integers. These miowifi will be stored in your browser only with your consent.

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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. On the number line below we can see some positive and negative integers whole numbers :. Just like you can multiply and divide positive numbers, you can do the same with negative numbers. Click here to learn about adding and subtracting negative numbers. Includes reasoning and applied questions on multiplying and dividing negative numbers. If the signs are different, the answer is negative.

How do you multiply negative numbers

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. It depends whether you have two of one type of number, or one of each. Here we'll focus on when we multiply two negative numbers. Multiplying two negative numbers will result in a positive number. This is because the negative numbers cancel each other out through factoring.

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With the help of the community we can continue to improve our educational resources. Explanation : Multiplying a negative number and another negative number makes the product 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. When multiplying a negative number an odd number of times, the answer is negative. Example 5: worded problem The table below shows the temperatures recorded in Manchester at different times of the day. Kevin Certified Tutor. Track your scores, create tests, and take your learning to the next level! If the signs are different, the answer is negative. Copyright holder you represent if other than yourself. We can conclude that: When you divide a negative number by a positive number then the quotient is negative. Pre-Algebra Graphing and functions Overview Linear equations in the coordinate plane The slope of a linear function Graphing linear inequalities Solve systems of equations by graphing. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings. When multiplying a negative number an even number of times, the answer is positive. You also have the option to opt-out of these cookies.

For the number line above, "1" corresponds or is related to the red point, "2" is related to the green point, "3" is related to the blue point, and so forth. When we move to the right on the number line, we increase in numbers. We defined this as addition.

Other lessons in this series include:. Necessary cookies are absolutely essential for the website to function properly. Simply multiple the two as though they were even. When multiplying negative numbers, we get a negative answer if there are an odd number of negative numbers being multiplied. The calculation becomes -2 — — In this case we have a number that is positive multiplied by a negative number minus times positive gives a minus. Order of operations also applies: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction, from left to right. You may find it helpful to start with the main negative numbers lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Mary has the following 6 cards:. Multiplying and dividing negative numbers is part of our series of lessons to support revision on negative numbers. When you divide two negative numbers then the quotient is positive. Pre-Algebra Introducing geometry Overview Geometry — fundamental statements Circle graphs Angles and parallel lines Triangles Quadrilaterals, polygons and transformations. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings.