5.1 and 9.4 Rational and Irrational Numbers.notebook
December 03, 2015
Rational and Irrational Numbers
Essential Skill:
Explicitly assess information and draw conclusions
Real Number System
Rational Numbers
Irrational Numbers
­any number that can be written in the form a
b
b
3 , 1 , ­0.5 ...
5
­any number that CANNOT be written in the form a
b
Integers:
­ Positive and negative whole numbers
­3, ­5, 0, 1, etc.
Whole Numbers:
­Counting numbers and 0
0, 1, 2, 3, ...
5.1 and 9.4 Rational and Irrational Numbers.notebook
December 03, 2015
Show that the number is rational by writing it as a quotient of two integers.
ex1 : 27
ex2 : 2 3
7
ex3 : 0.55
ex4 : ­ 1
3
Write the fraction or mixed number as a decimal.
ex1 : 3
5
ex2 : ­5
3
ex3 : 3 4 25
ex4 : 8 5 44
5.1 and 9.4 Rational and Irrational Numbers.notebook
Write the decimal as a fraction or mixed number.
ex1 : 0.54 ex2 : ­5.895 ex3 : 0.7 ex4 : ­1.36 Tell whether each number is rational or irrational.
ex1 : 3
4
ex3 : ­
ex2 : ex4 : 17.65 December 03, 2015
5.1 and 9.4 Rational and Irrational Numbers.notebook
December 03, 2015
Complete each statement using <, >, or = .
ex1 : 5
2
ex2 : 5.6
Order from least to greatest.
ex1 : 19
5
1
3 4
3.5 5.1 and 9.4 Rational and Irrational Numbers.notebook
December 03, 2015
Which statement correctly describes the number and its equivalent decimal notation?
A. The number is a rational number and its equivalent decimal notation is a repeating decimal number. B. The number is a rational number and its equivalent decimal notation is a terminating decimal number. C. The number is an irrational number and its equivalent decimal notation is a repeating decimal number. D. The number is an irrational number and its equivalent decimal notation is a terminating decimal number.