Answer – No, not all negative numbers are rational.
Explanation:
Rational numbers are numbers that can be expressed as the ratio of two integers, and they include whole numbers, fractions, and decimals.
Here are some examples of rational numbers: -3/4, 7/2, 5.1 (which can be written in the integer form as 51/10, thus making it rational), and even 0, because 0 can be written as 0/1.
Negative numbers can be both rational and irrational. It depends on whether they can be written as a simple fraction or not. For instance, -5 is rational because it can be written as -5/1, while -√2 is irrational because it cannot be expressed as a fraction of two integers. Therefore, such negative numbers are irrational.