All the integers are rational numbers. Justify the statement?

The statement "All integers are rational numbers" is true. To justify this, we need to understand the definitions of integers and rational numbers.

Integers are a set of numbers that include all positive and negative whole numbers, including zero. They can be represented as {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Rational numbers, on the other hand, are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In other words, a rational number can be written as a fraction p/q, where p and q are integers and q is not equal to zero.

Now, let's consider any integer 'n' from the set of integers. We can represent it as the fraction n/1, where 'n' is the numerator and 1 is the denominator. Since both the numerator and denominator are integers, and the denominator is not zero, we can conclude that 'n/1' is a valid fraction and, therefore, a rational number.

Hence, every integer can be expressed as a fraction of two integers, making them rational numbers. Therefore, all integers are rational numbers.