Integers negative and positive rules9/1/2023 ![]() Click once in an ANSWER BOX and type in your answer then click ENTER. The sum of any integer and its opposite is equal to zero.ĭirections: Read each question below. The result takes the sign of the integer with the larger absolute value. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values. Summary: Adding two positive integers always yields a positive sum adding two negative integers always yields a negative sum. Rule: The sum of any integer and its opposite is equal to zero. In Example 7 you will notice that the integers +9 and -9 are opposites. Solution 2: If you start with $9 and you owe $9, then you end up with $0. ![]() Solution 2: If you owe $6 and you are paid $7, then you end up with $1. Step 3: The number 1 will take a positive sign since +7 is farther from 0 than -6. Solution 2: If you start with $6 and you owe $7, then you are still short $1. Step 3: The number 1 will take a negative sign since -7 is farther from 0 than +6. Solution 2: If you owe $9 and you are paid $5, then you are still short $4. Step 3: The number 4 will take a negative sign since -9 is farther from 0 than +5. Solution 2: If you start with $7 and you owe $4, then you end up with $3. Step 3: The number 3 will take a positive sign since +7 is farther from zero than -4. We will use money as an alternative method for adding integers. Refer to the number line to help you visualize the process in each example. We will use the above procedure to add integers with unlike signs in Examples 3 through 7. Procedure: To add a positive and a negative integer (or a negative and a positive integer), follow these steps:ġ. Find the absolute value of each integer.Ģ. Subtract the smaller number from the larger number you get in Step 1.ģ. The result from Step 2 takes the sign of the integer with the greater absolute value. What happens when we add integers with unlike signs? How do we add a positive and a negative integer, or a negative and a positive integer? So far we have added integers with like signs (either both negative or both positive). ![]() +29 + +16 = +45 is read as Positive 29 plus positive 16 equals positive 45. Adding Positive Integersĭo not confuse the sign of the integer with the operation being performed. You may draw a number line to help you solve this problem. Rule: The sum of two positive integers is a positive integer.Įxample 2: Find the sum of each pair of integers. Remember that: -2 + -9 = -11 is read as Negative 2 plus negative 9 equals negative 11. Adding Negative Integersĭo not confuse the sign of the integer with the operation being performed. ![]() Rule: The sum of two negative integers is a negative integer.Įxample 1: Find the sum of each pair of integers. If we then move another 6 to the left, we end up at -9. If we start at 0, and move 3 to the left, we land on -3. Owing $3 can be represented by -3 and owing $6 can be represented by -6. The problem above can be solved using addition of integers. Solution: This problem is quite simple: just add $3 and $6 and the result is $9. If he borrows another $6, how much will he owe her altogether? Problem: George owes his friend Jeanne $3. Learn About Integer Addition With Example Problems And Interactive Exercises.
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