Are all integers rational numbers?
All integers are rational numbers
All integers are rational numbers.
A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. Since integers can also be expressed as a quotient of two integers (e.g., 5 can be expressed as 5/1 or -2 can be expressed as -2/1), all integers fall under the category of rational numbers.
In other words, any integer can be written as the fraction of itself over 1. This shows that the integer belongs to the set of rational numbers. For example, the integer 3 can be expressed as 3/1, and the integer -5 can be expressed as -5/1.
In conclusion, all integers can be represented as rational numbers because they can be expressed as fractions where the denominator is not zero.
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