Are Negative Numbers Rational? Explaining the Rationality of Negative Numbers

Are negative numbers rational?

Negative numbers are rational

Negative numbers are rational. To understand why, let’s first define 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).

For example, the number -3 can be written as -3/1, where -3 is the numerator and 1 is the denominator. Since -3 can be expressed as the quotient of two integers, it is considered a rational number.

In general, any negative number can be written as a fraction where the numerator is a negative integer and the denominator is a positive integer. Therefore, all negative numbers are rational.

It is worth mentioning that rational numbers also include positive integers, zero, and fractions where both the numerator and denominator are integers (excluding division by zero). This means that rational numbers not only include negative numbers but also positive numbers and zero.

More Answers:

Introduction to Whole Numbers: Definition, Properties, and Applications in Mathematics
Understanding the Five Classifications of Real Numbers: Natural, Whole, Integers, Rational, and Irrational
Understanding the Relationship Between Integers and Rational Numbers: All Integers are Rational

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