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The expression 7/0 is classified as undefined because division by zero is not possible in mathematics. When you divide a number by zero, there is no number that can satisfy the equation since multiplying any number by zero yields zero, and thus there is no solution to represent. This means that 7/0 does not correspond to any value, rational or otherwise.

Rational numbers are defined as numbers that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. Since the denominator in this expression is zero, 7/0 cannot be expressed as a rational number. This distinction is crucial in mathematics, and it solidifies the reasoning behind classifying 7/0 as undefined.