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Is every number an integer?

Published in Number Theory 1 min read

No, every number is not an integer.

Integers are whole numbers (no fractional or decimal part) and can be positive, negative, or zero. Examples of integers include -3, 0, 5, and 100. Numbers that are not integers include fractions (like 1/2), decimals (like 3.14), and irrational numbers (like pi or √2).

Here's a breakdown to illustrate:

  • Integers: ... -3, -2, -1, 0, 1, 2, 3 ... These are whole numbers and their negatives.
  • Not Integers:
    • Fractions: 1/2, 3/4, 7/8
    • Decimals: 0.5, 2.7, 3.14159
    • Irrational Numbers: π (pi), √2 (square root of 2), e

To summarize, while all integers are numbers, not all numbers are integers. There are many other types of numbers that exist outside of the integer set, such as rational numbers, irrational numbers, real numbers, and complex numbers.

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