Q. Integers are different from rational A numbers because integers cannot be written in fractional form.
Definition of Integers: Integers are whole numbers that can be positive, negative, or zero. This includes numbers like −2, −1, 0, 1, 2, and so on. They do not have a fractional or decimal part.
Definition of Rational Numbers: Rational numbers are numbers that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. This includes integers (since any integer a can be written as 1a), but it also includes fractions like 21, −43, and so on.
Integers in Fractional Form: The statement "Integers cannot be written in fractional form" is incorrect. Integers can be written in fractional form by placing them over 1. For example, the integer 5 can be written as the fraction 15.
Difference Between Integers and Rational Numbers: Therefore, the difference between integers and rational numbers is not that integers cannot be written in fractional form, but rather that rational numbers include both integers and fractions, whereas integers are only the whole numbers without fractions.
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