NAME ______DATE ______PERIOD ______
Notes: 1-1 The Real Number System
Numbers may be classified by identifying to which of the following sets they belong. Natural Numbers N be ed f c g. 1, 2, 3, 4, 5, Whole Numbers The set of natural numbers and 0. {0, 1, 2, 3, 4, } Integers The set of whole numbers and their opposites { , 2, 1, 0, 1, 2, } a Rational Numbers Numbers that can be expressed in the form , where a and b are integers and b 0. b a Irrational Numbers Numbers that cannot be expressed in the form , where a and b are integers and b 0. b
Classify each number by determining all sets of numbers to which it belongs. a. 5
b. 0.666
c. √25
d. √11
Classify each number by determining all sets of numbers to which it belongs. Then write each number in the Venn diagram.
4 1) 30 2) 5 3) √21 4) √ 7
6 5) 0 6) 16 7) 8) √7 2
Determine whether each statement is true or false. If the statement is true, explain your reasoning. If the statement is false, provide a counterexample.
9) All whole numbers are rational numbers.
10) All real numbers are irrational numbers.
NAME ______DATE ______PERIOD ______
Practice: 1-1 The Real Number System
Classify each number by determining all sets of numbers to which it belongs. 1) 0 2) √36 3) 4
4) 6.3 5) 4.18 6) 11
Classify each number by determining all sets of numbers to which it belongs. Then write each number in the Venn diagram below. 7) 19 8) 6 9) 0