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Which of the following is NOT a characteristic of a rational number?

  1. Can be a fraction

  2. Can be positive or negative

  3. Can be expressed in decimal form

  4. Cannot be expressed as a simple fraction

The correct answer is: Cannot be expressed as a simple fraction

Rational numbers are defined as numbers that can be expressed as the quotient of two integers, where the denominator is not zero. This means that rational numbers can be represented as fractions, which is the first characteristic mentioned. They can also be positive or negative, capturing the full range of values in the number line. Additionally, rational numbers can be expressed in decimal form, including terminating and repeating decimals. This flexibility in representation reinforces their definition as a number that can be written as a fraction of integers. The characteristic stating that a rational number cannot be expressed as a simple fraction is not true, as it contradicts the very definition of rational numbers. Therefore, the correct answer highlights that this statement does not align with the properties of rational numbers.