Is -21 a Rational Number?
Rational numbers are an integral part of the number system, encompassing all numbers that can be expressed as a fraction of two integers. This category includes both positive and negative numbers, whole numbers, and fractions. In this article, we will explore whether -21 is a rational number and delve into the properties that define rational numbers.
A rational number is defined as any number that can be expressed in the form of a fraction, where the numerator and the denominator are both integers, and the denominator is not equal to zero. The general form of a rational number is a/b, where ‘a’ and ‘b’ are integers, and ‘b’ is not zero.
Now, let’s analyze -21 to determine if it fits the criteria of a rational number. The number -21 can be written as -21/1, where both the numerator (-21) and the denominator (1) are integers. Since the denominator is not zero, -21 meets the basic requirements of a rational number.
To further understand the nature of -21 as a rational number, we can consider its position on the number line. As a negative integer, -21 is located to the left of zero on the number line. Rational numbers can be either positive or negative, and -21 falls into the negative category. Therefore, -21 is a rational number because it can be expressed as a fraction of two integers.
In conclusion, -21 is indeed a rational number. It adheres to the definition of a rational number by being expressible as a fraction of two integers, and it is located on the number line within the set of rational numbers. Understanding the properties of rational numbers, such as -21, helps us appreciate the diversity and richness of the number system.
