All numbers that can be represented on a number line are called real numbers and can be classified according to their characteristics.

Rational numbers can be expressed in the form , where a and b are both integers and b ≠ 0: , , . a b 1 2 7 9 10

Terminating decimals are rational numbers in decimal form that have a finite number of digits: 1.5, 2.75, 4.0 Repeating decimals are rational numbers in decimal form that have a block of one or more digits that repeat continuously: 1.3, 0.6, 2.14 Irrational numbers cannot be expressed in the form . They include square roots of whole numbers that are not perfect squares and nonterminating decimals that do not repeat: , ,  a b

Write all classifications that apply to each Real number. 32 can be written as a fraction and a decimal. 32 1 –32 = – = –32.0 rational number, integer, terminating decimal

Write all classifications that apply to each Real number. The digits continue with no pattern. = 3.16227766… irrational number

Write all classifications that apply to each real number. 1. 1 rational, terminating decimal 2. –3.89 rational, repeating decimal 3. irrational