Add and subtract integers

Key Notes:

1. Integers:

• Integers are whole numbers that can be positive, negative, or zero.
• Examples of integers: −3,−2,−1,0,1,2,3

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2. Adding Integers:

Same Signs:

• When adding two integers with the same sign, add their absolute values and keep the common sign.
  • Example: 4+7=11
  • Rule: (+a)+(+b)=+(a+b) and (−a)+(−b)=−(a+b)

Different Signs:

• When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value, and take the sign of the integer with the larger absolute value.
  • Example: 5+(−3)=2 and −5+3=−2
  • Rule: (+a)+(−b)=∣a−b∣ with the sign of the larger value.

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3. Subtracting Integers:

• Subtracting an integer is the same as adding its opposite (the negative of the integer).
  • Example: 5−3=5+(−3)=2
  • Example: −7−4=−7+(−4)=−11

Steps for Subtracting Integers:

1. Change the subtraction to addition by taking the opposite of the second integer.
2. Follow the rules for adding integers.