The root word of rational is ratio. 4/21/2017 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.

4/21/2017 0.25 -5 0.333... 3 1 2 are rational numbers.

1 5 - = 2 10 - = 1 5 - = 3 15 - = -5 An integer can be written as a “quotient of 2 integers,” so integers are rational.

3 7 = 3 1 2 3 7 - = 3 7 - = 6 14 = A mixed number can be written as a “quotient of 2 integers,” so mixed numbers are rational.

4 1 - = 8 2 = 4 1 = 16 4 - = 0.25 A terminating decimal can be written as a “quotient of 2 integers,” so terminating decimals are rational.

3 1 = - 3 1 = 9 3 = -9 -3 = 0.333... A repeating decimal can be written as a “quotient of 2 integers,” so repeating decimals are rational.

Rational numbers are ... fractions - both simple and mixed decimals - both repeating and terminating integers …-4, -3, -2, -1, 0, 1, 2, 3…