Some examples are 1/3, -4/7, 5 3/4, -6.37
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Examples are: 1/4, 3/4, 7/8. 8/4 is not because 8/4 is 2 which is an integer. A non-integer rational number is a number that can be written as an exact fraction or as a terminating decimal. A non-integer has no digits to the right of the decimal point. Since -1.6 has one or more digits to the right of the decimal point, it is not an integer. Fractions are non-integers. ∏ (Pi) is also a non-integer.
Some definitions maintain that the set of whole numbers does not include negative numbers. That makes -12 an integer and rational.
There are many possible ways: A prime A counting number An integer A rational number A real number are some.
Some examples: 0, 3/5, -6, 0.23, -5
The natural numbers (ℕ) are the counting numbers {1, 2, 3, ...} (though some definitions also include zero: 0) which are whole numbers with no decimal part. Every rational number (ℚ) can be expressed as one integer (p) over another integer (q): p/q where q cannot be 0. The rational numbers can be converted to decimal representation by dividing the top number (p) by the decimal number (q): p/q = p ÷ q. When q = 1, this produces the rational numbers: p/1 = p ÷ 1 = p which is just an integer; it could be one of {[0,] 1, 2, 3, ...} - the natural numbers above: thus all natural numbers are rational numbers. When q = 2, and p = 1, this produces the rational number 1/2 = 1 ÷ 2 = 0.5 which is not one of the natural number above - so some rational numbers are not natural numbers, thus all rational numbers are not natural numbers. Thus ℕ ⊂ ℚ (the set of natural numbers is a proper subset of the set of rational numbers).