Question

Write the following rational number as an integer.
\[\dfrac{{ - 73}}{1}\]

Answer 1

Hint:
We will somehow remove the denominator from the rational number i.e., we will change the denominator to 1. This is because integers do not have any denominators. In other words, their denominators are 1. .

Complete step by step answer:
For solving this question, we need to know the concept of the integers and rational numbers.
Integers are numbers which do not have any fractional components. In other words, they are written without any denominators. The denominator of each number is one. Integers include a bigger set of numbers. They contain the natural or counting numbers and whole numbers within themselves.
Now, integers are known as the bigger set of numbers because apart from all the positive numbers and 0, they also contain the negative numbers. The negative numbers are nothing but the positive numbers with a minus sign \[' - '\]. However, the physical significance of the negative numbers is different than that from the positive numbers.
We will now understand what rational numbers are. Rational numbers are those numbers which can be expressed in the form of a fraction \[\dfrac{p}{q}\], where \[q \ne 0\]. When the denominator is 1, rational numbers become integers.
Thus, it is said that all integers are rational numbers, but all rational numbers are not integers.
We will now convert the rational number \[\dfrac{{ - 73}}{1}\] into an integer. To do that, we will divide the numerator with the denominator.
\[\dfrac{{ - 73}}{1} = - 73\]
Since we have got a perfect answer, we do not need to do any further calculation.
Thus, the rational number \[\dfrac{{ - 73}}{1}\] expressed as an integer is \[ - 73\].

Note:
In order to convert integers into rational numbers we can divide the integers with different numbers. The idea is to not make the denominator 0. Except for that we can divide with any number. Since there are infinite numbers, we can obtain infinite rational numbers from a given integer itself. The vice versa is also true. That is, we can obtain an integer from a rational number too. To do that, we make the denominator 1, because integers are rational numbers with denominator 1.