Yes, if a number is an integer, then it is considered a rational number. To understand this, let’s break down the definitions:
An integer is any whole number that can be positive, negative, or zero. Examples of integers include -3, 0, 1, 2, and so on.
A rational number is defined as any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In simpler terms, a number p is rational if it can be written in the form p = a/b, where a and b are integers and b is not zero.
Since any integer can be represented as a fraction with 1 as the denominator (for example, the integer 5 can be expressed as 5/1), it fits the criteria for rational numbers. Therefore, every integer is indeed a rational number because it can be expressed in the form required for rationality.
In conclusion, the statement is true: if a number is an integer, then it is rational.