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no. an integer is a whole, positive number, a rational number can be positive, negative, or a fraction
-5 is an integer and a rational number. Integers can be positive or negative. Rational numbers can be expressed as a fraction of integers.
Every integer is a rational number.
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.
Zero is a rational number and an integer.