Page 63 - Algebra 1

Example
2
Ordering Rational Numbers
Order the numbers from least to greatest.
_7 , -2, 0.125, _1 82
SOLUTION
Use a number line to order the numbers. Place each number on the number line.
17 -2 0.125 2 8
-3 -2 -1 0
To order these numbers from least to greatest, read the numbers on the
number line from left to right.
-2, 0.125, _1 , _7 28
Comparing Rational Expressions
Complete the comparison. Use <, >, or =. _3 + (-_5)- _1 -2.75 + 6.25 - 3.75
SOLUTION
Simplify each expression. Then compare.
1
Example
3
888
_3 + ( - _5 ) - _1 888
= _3 + ( - _5 ) + ( - _1 ) 888
_3 _6 = 8 + (- 8 )
= - _3 8
-2.75 + 6.25 - 3.75
= -2.75 + 6.25 + (-3.75) = -2.75 + (-3.75) + 6.25 = -6.50 + 6.25
= -0.25
Hint
Convert–_3 toadecimal 8
or –0.25 to a fraction to make comparing the values easier.
Since -_3 < -0.25, _3 + (-_5 )- _1 < -2.75 + 6.25 - 3.75. 8888
Application: Investing
Carly invested $250 in two accounts. The table below shows the ending balance per quarter.
Example
4
1st Quarter
2nd Quarter
3rd Quarter
4th Quarter
Investment A
$255.75
$258.81
$260.25
$262.99
Investment B
$260.66
$274.22
$268.92
$290.07
48 Saxon Algebra 1