Page 861 - Algebra 1

Skills Bank
Compare and Order Rational Numbers
Skills Bank Lesson 1
A rational number is a number that can be written as a ratio of two integers. Comparing Rational Numbers
Compare _7 and _5 . Write <, >, or =. 10 12
SOLUTION
Method1: Multiplytofindacommondenominator.
Multiply the denominators.
Write fractions with a common denominator.
Example
1
10 · 12 = 120
7 · 12 5 · 10
____ 10 12 12 10
84 > 50 , so 7 > 5 ____
120 120 10 12
Method2: Findtheleastcommondenominator(LCD).
_7 ·_6 _5 ·_5 WritefractionsusingtheLCDof60. 10 6 12 5
_42>_25,so_7 >_5 60 60 10 12
Ordering Rational Numbers
Order the numbers -_5 , 2.75, -3, 2_1 , -_14 from least to greatest. 425
SOLUTION Write each fraction as a decimal. Graph the numbers on a number line.
_14 _5 2_1 -5=-1.25,2_1=2.5,-14 =-2.8 5 4 2 2.75
Example
2
__
4 2 5 -4-3-2-1 0 1 2 3 4
Read the numbers from left to right: -3, -_14 , -_5 , 2_1 , 2.75. 542
The numbers are in order from least to greatest.
Skills Bank Practice
Compare. Use >, <, or =. a. _5 _7
8 12
Order from least to greatest. d. -2, _7, 0.8, 2.1, 1_1
b. _3 _3 11 10
c. -_3 -_4 7 5
846 Saxon Algebra 1
e. 0.7, -1, -_5, _4, -2.3, -_9 83432