Marcelo is not correct. The statement "rational numbers are integers" is not always true.
To clarify:
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Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. This includes numbers like \( \frac{1}{2} \), \( -3 \), and \( 0.75 \) (which can be expressed as \( \frac{3}{4} \)).
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Integers are whole numbers that can be positive, negative, or zero. Examples of integers include \( -3, -2, -1, 0, 1, 2, 3 \).
While all integers can be considered rational numbers (since any integer \( n \) can be expressed as \( \frac{n}{1} \)), not all rational numbers are integers. For example, \( \frac{1}{2} \) and \( 0.75 \) are rational numbers, but they are not integers.
Thus, the claim that "rational numbers are integers" is incorrect. The correct relationship is that all integers are rational numbers, but not all rational numbers are integers.
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