How are integers and rational numbers are related

Answer 1

Integers and rational numbers are related as rational numbers are a subset of integers.

Integers are the set of whole numbers and their negative counterpart, including zero (..., -3, -2, -1, 0, 1, 2, 3, ...). They do not include fractions or decimals.

Rational numbers, on the other hand, can be expressed as a fraction of two integers, where the numerator and denominator are both integers and the denominator is not zero. Rational numbers include integers since any integer can be expressed as a fraction with a denominator of 1 (e.g., 3 can be expressed as 3/1). However, rational numbers also include fractions and decimals that cannot be simplified to integers (e.g., 2/3, 0.25).

In summary, every integer is a rational number, but not every rational number is an integer.