Integers
What are Integers?
Integers are whole numbers that can be positive, negative, or zero. They include all whole numbers and their negative counterparts, but do not include fractions or decimals.
Positive Integers: 1, 2, 3, 4, ...
Negative Integers: -1, -2, -3, -4, ...
Zero: 0 (neither positive nor negative)
Integers are used in many real-life situations, such as measuring temperature (both above and below zero), tracking finances (deposits and withdrawals), and representing elevation (above and below sea level).
Integer Operations
+Adding Integers
When adding integers with the same sign, add their absolute values and keep the sign. When adding integers with different signs, subtract the smaller absolute value from the larger one and use the sign of the number with the larger absolute value.
-Subtracting Integers
To subtract an integer, add its opposite (additive inverse).
×Multiplying Integers
When multiplying integers, multiply their absolute values. The sign of the result follows these rules:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
÷Dividing Integers
When dividing integers, divide their absolute values. The sign of the result follows the same rules as multiplication:
- Positive ÷ Positive = Positive
- Negative ÷ Negative = Positive
- Positive ÷ Negative = Negative
- Negative ÷ Positive = Negative
Integer Number Line
The number line is a visual representation of integers. Positive numbers are to the right of zero, and negative numbers are to the left of zero.
The number line helps visualize integer operations. For example, adding a positive number means moving to the right, while adding a negative number means moving to the left.
Related Topics
Practice Integers
Test your knowledge with our interactive integer practice exercises.
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