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.

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:.

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.

Learning checklist. When you divide a positive number by a negative number then the quotient is also negative. Possible Answers: 9.

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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.

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.

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Multiplying and dividing negative numbers is part of our series of lessons to support revision on negative numbers. What is the product of the highest and lowest temperatures? The next lessons are Factors, multiples and primes Fractions Decimals. Click here to learn about adding and subtracting negative numbers. In this case we have a number that is positive multiplied by a negative number minus times positive gives a minus. Terms of Use. On the same day the temperature at the north pole was 4 times as cold as it was in London. There is an add sign in between so we must add the two numbers once we have dealt with the negatives. What was the temperature in the North Pole? Explanation : Multiplying a negative and a positive number creates a negative product:. I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process. Explanation : When multiplying negative numbers, we get a negative answer if there are an odd number of negative numbers being multiplied.

When multiplying negative numbers it is often useful to complete the calculation using positive numbers initially. Then remember that:. Start by completing the calculation using positive numbers first, then use the sign rules to find the sign of the answer.

Correct answer: Explanation : Two odd numbers multiplied always result in an even number. Example 5: worded problem The table below shows the temperatures recorded in Manchester at different times of the day. Explanation : A negative number multiplied by a positive number will always be negative. 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. Multiplying and dividing negative numbers GCSE questions. Practice multiplying and dividing negative numbers questions. Pre-Algebra Introducing geometry Overview Geometry — fundamental statements Circle graphs Angles and parallel lines Triangles Quadrilaterals, polygons and transformations. Company name. For the denominator -3 to become the numerator , you would have to multiply it by 4, therefore the quotient is 4. It is mandatory to procure user consent prior to running these cookies on your website. We get a positive answer if there are an even number of negative numbers being multiplied.