Add and subtract integers

Key Notes:

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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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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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:

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

📌 Number Line Method (Optional):

• Adding a positive integer: Move right on the number line.
• Adding a negative integer: Move left on the number line.
• Subtracting: Change the sign and follow the addition rule.

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🧠 Quick Tip:

Always remember:

• Subtracting an integer = Adding its opposite

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