Rules For Adding And Subtracting Integers

🔑 Key Concepts

  • Adding integers with the same sign means add the values and keep the sign.
  • Adding integers with different signs means subtract the absolute values.
  • Subtracting a negative number is the same as adding a positive number.
  • Always determine the sign before finding the final answer.

✏️ Worked Examples — Recognizing Integer Rules

🧠 Math Vocabulary

  • Integer: A positive number, negative number, or zero.
  • Absolute Value: The distance a number is from zero.
  • Opposite Signs: One positive and one negative number.
  • Same Signs: Both numbers are positive or both are negative.
  • Subtracting a Negative: The same as adding a positive number.

💡 Main Idea

When adding and subtracting integers, always determine the signs first. If the signs are the same, add the values and keep the sign. If the signs are different, subtract the absolute values and keep the sign of the number with the larger absolute value. When subtracting a negative number, change the subtraction to addition.

🚀 What Comes Next

Next, students will apply these integer rules to multi-step problems, expressions with parentheses, and real-world applications involving gains, losses, temperature changes, and elevation.