Understanding Math: All Integers Are Rational Numbers

Are all integers rational numbers?

All integers are rational numbers

All integers are rational numbers.

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Integers are whole numbers (positive, negative, or zero) without any fractional or decimal parts.

When you express an integer as a fraction, the denominator is always 1. For example, the integer 5 can be written as the fraction 5/1. Similarly, the integer -3 can be written as -3/1.

Since both the numerator and the denominator are integers and the denominator is not zero, both 5/1 and -3/1 meet the definition of a rational number. Therefore, all integers can be considered rational numbers.

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