The same rules hold true for multiplication. This video focuses on addition of positive and. When you divide two negative numbers then the quotient is positive. Introducing a card game that your students can play in small groups to develop their addition skills. When you divide a positive number by a negative number then the quotient is also negative. The rule for adding two integers depends on whether the signs of the. When you divide a negative number by a positive number then the quotient is negative. Integers are the negative numbers, zero, and positive numbers. So, the quotient of a negative and a positive number is negative and, correspondingly, the quotient of a positive and a negative number is also negative. What happens when you divide two negative numbers? For example,įor the denominator (-3) to become the numerator (-12), you would have to multiply it by 4, therefore the quotient is 4. In the Addition of One positive and another negative integer, the higher absolute value of the two integers will determine the sign. The addition of 2 negative integers will always result in a negative integer. In order to check whether 4 is the correct answer, we multiply 3 (the denominator) by 4 (the quotient): The addition of 2 positive integers will always result in a positive integer. If you answer is correct then the product of these two numbers should be the same as the numerator. Turning to division, you may recall that you can confirm the answer you get by multiplying the quotient by the denominator. Add and subtract negative numbers, and see how absolute value can be used to find the distance between any two numbers on the number line. Now we have two negative numbers, so the result is positive. Since there is one positive and one negative number, the product is negative 12. In the case of three-digit positive numbers, the same rules apply for addition and subtraction that are similar to one-digit and two-digit numbers. Two quick multiplication examples:ģ times 4 equals 12. 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. 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 you multiply two negative numbers or two positive numbers then the product is always positive. When you multiply a negative number by a positive number then the product is always negative. They can be used to help students see more clearly how certain integer questions end up with positive and negative results. You also have to pay attention to the signs when you multiply and divide.
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