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A real number that can be written or expressed as a ratio of two integers is rational.
All integers, positive or negative are rational numbers because they divide by 1.
Zero is a rational number that can be written as a ratio of two integer numbers, as 0/1.
Rational numbers can be written or expressed as either an ordinary (terminating) decimal or as an infinite repeating decimal.
Rational Numbers Examples:
Real numbers that cannot be written as a ratio of two integers are irrational. They are decimal numbers that both do not terminate and do not repeat. Irrational numbers are infinite non-repeating decimal numbers.
Irrational Numbers Examples: