To add integers, follow these rules:
- If the integers have the same sign, add their absolute values and keep the common sign for the sum. For example, 2+3=52+3=52+3=5 and (−2)+(−3)=−5(-2)+(-3)=-5(−2)+(−3)=−5.
- If the integers have different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value. For example, −2+3=1-2+3=1−2+3=1 (since 3>23>23>2) and 7+(−3)=47+(-3)=47+(−3)=4.
- Adding zero to any integer results in the same integer. For example, 6+0=66+0=66+0=6.
- The sum of an integer and its additive inverse (like 4 and -4) equals zero.
Adding integers can also be visualized on a number line by moving right for positive numbers and left for negative numbers, starting from one integer and moving by the value of the other integer. These steps ensure accurate addition of integers regardless of their signs. Would you like examples or a detailed explanation of how to add integers on a number line? This summary is based on widely accepted rules for integer addition.
