All the integers are rational numbers. Justify the statement.
A rational number is formed when any two integers, such as p and q, are expressed in the form of p/q, where q ≠ 0.
An integer is any number that is not expressed as a fractional component. Integers form of the list of numbers as: ,..., -4, -3, -2, -1, 0, 1, 2, 3, 4,...,.
Answer: All integers are rational numbers as they can be expressed in the rational numbers form of p/q, where q ≠ 0.
Let us consider the conditions given in the question to find the required numbers.
Since we know that integers are numbers without any fractional component. Let's take a few examples to see how can we express integers as rational numbers.
4 is an integer but we can express 4 as 4/1 or 8/2 or 12/3 and all these are rational numbers.
-3 is an integer but we can express (-3) as (-3)/1 or (-6)/2 or (-9)/3 and all these are rational numbers.
0 is an integer and it can be expressed as 0/1
Similarly we can express any integer, whether positive or negative as a rational numer.