Adding and Subtracting Integers
Learn how to add and subtract positive and negative whole numbers.
Σ The Formula
Real World Examples
# About This Calculator
Integers are whole numbers that can be positive, negative, or zero. Adding and subtracting them requires following specific rules regarding their signs.
The most important rule for addition is: when adding numbers with the same sign, add their absolute values and keep the sign. When adding numbers with different signs, find the difference between their absolute values and keep the sign of the larger number.
For subtraction, remember the phrase: "Keep, Change, Change." Keep the first number, change the subtraction sign to addition, and change the sign of the second number. For example, $5 - (-3)$ becomes $5 + 3 = 8$.
Visualizing these operations on a number line is often helpful. Addition means moving to the right (for positive) or left (for negative). Subtraction means moving in the opposite direction.
How To Use
- Enter your first integer.
- Enter your second integer (use a minus sign for negatives).
- Select Add or Subtract.
- The steps will explain the sign rules used.
Frequently Asked Questions
What is an integer?+
Why does subtracting a negative result in a positive?+
Is zero an integer?+
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About
Integers are whole numbers that can be positive, negative, or zero. Adding and subtracting them requires following specific rules regarding their signs.
The most important rule for addition is: when adding numbers with the same sign, add their absolute values and keep the sign. When adding numbers with different signs, find the difference between their absolute values and keep the sign of the larger number.
For subtraction, remember the phrase: "Keep, Change, Change." Keep the first number, change the subtraction sign to addition, and change the sign of the second number. For example, $5 - (-3)$ becomes $5 + 3 = 8$.
Visualizing these operations on a number line is often helpful. Addition means moving to the right (for positive) or left (for negative). Subtraction means moving in the opposite direction.