Rational vs Irrational Numbers - Mr. Romano's Math Website
Unit 1: Relationships Between Quantities and Expressions
Name: ______________________________
Rational vs Irrational Numbers
A rational number is a number that can be expressed as a fraction or ratio. The numerator and the denominator of the fraction are both integers.
When the fraction is divided out, it becomes a terminating or repeating decimal. (The repeating decimal portion may be one number or a billion numbers.)
*Be careful when using your calculator to determine if a decimal number is irrational. The calculator may not be displaying enough digits to show you the repeating decimals, as was seen in the last example to the left.
An irrational number cannot be expressed as a fraction. Irrational numbers cannot be represented as terminating or repeating decimals.
Name three numbers that are rational and three numbers that are irrational. Rational: ________, ________, ________ Irrational: ________, ________, ________
Page 1 of 4
Unit 1: Relationships Between Quantities and Expressions
Name: ______________________________
Graphic Organizer
ii
Page 2 of 4
Algebra 1: Relationships Between Quantities and Expression Rational and Irrational Numbers Independent Practice
Name: ______________________________
1. Sort the numbers into 2 groups, rational or irrational. Write the numbers in the appropriate bubble.
0.8
3 7
64
0
32
-19
100
2.343443444...
75
6 2
7
12 .67
121
12
5
Rational
Irrational
2. Graph and label each number on the number line below. You may label the number with the letter.
A 0.75 B 3 C 9 D 21
2 E 15
10 F 2.6 G 2 H
-5 -4
-3 -2 -1
0
1
2
3
4
5
3
Algebra 1: Relationships Between Quantities and Expression
Name: ______________________________
Color each number according to the directions below. Be prepared to justify your reasoning.
4
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