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integers carry no decimal places or fractional parts, e.g. 1, 100, 450, 0, -25 etc.

rational numbers may have terminating or recurring decimal places and fractional parts, which include all integers, fractions (e.g. 4/5, 5/4, -38/101 etc), terminating decimals (e.g. 0.5, 0.6, -0.34, 0.86 etc) and recurring decimals (e.g. 0.111111111111..., 2.101010101010101..., -2.45454545454..., -9.567567567567567567567... etc)

note that the above are classes of real numbers only. complex numbers do not have this type of classification.

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Not true. All integers are rational numbers.

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