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

2. 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

3. 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

4. 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

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

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