The difference between Integer and Rational number
When used as nouns, integer means a number that is not a fraction, whereas rational number means a number that can be expressed as the ratio of two integers.
check bellow for the other definitions of Integer and Rational number
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Integer as a noun (arithmetic):
A number that is not a fraction; an element of the infinite and numerable set {..., -3, -2, -1, 0, 1, 2, 3, ...}.
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Rational number as a noun (mathematics):
A number that can be expressed as the ratio of two integers.