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What are they? Rational Numbers The root word of rational is ratio. Ratios are fractions. Any number that can be written as the quotient (a fraction) of two integers is a rational number. However, the denominator cannot be 0. 0.25 -5 1 2 3 0.333... are rational numbers. -5 = -5 1 5 = -1 - 10 - 15 = = 2 3 An integer can be written as a “quotient of 2 integers,” so integers are rational. -7 1 7 -7 14 = = 2 = =6 -3 3 3 3 A mixed number can be written as a “quotient of 2 integers,” so mixed numbers are rational. -1 2 -4 1 0.25 = = = = 8 - 16 4 -4 A terminating decimal can be written as a “quotient of 2 integers,” so terminating decimals are rational. 1 0.333... = 3 -1 =3 3 = 9 -3 = -9 A repeating decimal can be written as a “quotient of 2 integers,” so repeating decimals are rational. Rational numbers are ... ð fractions - both simple and mixed ð decimals - both repeating and terminating ð integers …-4, -3, -2, -1, 0, 1, 2, 3…