What is Integer? Definition, Meaning & Example
A whole number that can be positive, negative, or zero.
TL;DR: A whole number that can be positive, negative, or zero.
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Integer: A whole number that can be positive, negative, or zero.
Explanation
Integers include all positive whole numbers like 1, 2, 3, all negative whole numbers like -1, -2, -3, and zero. Integers do not include fractions or decimals. The set of integers is denoted by the symbol Z. Integers are used extensively in mathematics, computer science, and daily life for counting, temperature measurements, money transactions, and elevations. Understanding integers is fundamental for learning algebra, as variables often represent integer values. Operations like addition, subtraction, and multiplication of integers always produce integer results.
Example
The integers from -3 to 3 are: -3, -2, -1, 0, 1, 2, 3. The number 2.5 is not an integer because it contains a decimal part.
Frequently Asked Questions
Is zero an integer?
Yes, zero is an integer. It is the neutral element for addition and is neither positive nor negative.
Are fractions or decimals considered integers?
No, integers must be whole numbers. Any number with a fractional or decimal part is not an integer.
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