Solution manual for beginning algebra 10th edition by karr

The absolute value of a positive number or 0 is equal to the positive number or 0.. The absolute value of a negative number is equal to the opposite of the negative number... Change the

Exercises 1.1 (page 11)

1-10 Answers may vary 11.

( œ
( œ
(k k   12. k
"# œ "# œ "#k

positive integers

that is a wholenumber

BB

or equal to



43. integers:
$ß
"ß !ß "ß #ß 'ß * 44. rational:
$ß
ß
"ß !ß "ß #ß ß $Þ#&ß 'ß *"# &$

45. real:
$ß
ß
"ß !ß "ß #ß ß"# &$ È(ß $Þ#&ß 'ß * 46. irrational: È(

130 2 is prime because it has two factors, 1 and itself Any even number greater than 2 has at least three

factors: 1, itself, and 2, so it is not prime

131 The absolute value of a positive number (or 0) is equal to the positive number (or 0) The absolute

value of a negative number is equal to the opposite of the negative number

132 0 is even because it can be evenly divided by 2: ! ƒ # œ !, with no remainder

Exercises 1.2 (page 25)

17 The digit in the 2nd decimal place is 6 Thenext digit to the right is 5 Since this digit

is 5 or more, round up Change the 6 in the2nd decimal place to 7, and delete all digits

to the right 5.17

The digit in the 2nd decimal place is 6 Thenext d

18.

igit to the right is 4 Since this digit

is less than 5, round down Leave the 6 inthe 2nd decimal place, and delete all digits

to the right 5.16

107 The digit in the 2nd decimal place is 5 The

next digit to the right is 8 Since this digit

is 5 or more, round up Change the 5 in the2nd decimal place to 6, and delete all digits

108 The digit in the 2nd decimal place is 5 The

next digit to the right is 4 Since this digit

is less than 5, round down Leave the 5 inthe 2nd decimal place, and delete all digits

109 The digit in the 2nd decimal place is 9 The

next digit to the right is 8 Since this digit

is 5 or more, round up Change the 9 in the2nd decimal place to 0, increase the digit inthe 1st decimal place from 3 to 4, and deleteall digits to the right 6,025.40

The digit in the 3rd decimal place is 8 Thenext digit to the right is 2 Since this digit

is less than 5, round down Leave the 8 inthe 3rd decimal place, and delete all digits

to the right 6,025.398

110 The digit in the 2nd decimal place is 0 The

next digit to the right is 4 Since this digit

is less than 5, round down Leave the 0 inthe 2nd decimal place, and delete all digits

124 & #" œ & #" œ & #" œ#&#" œ #&  #" œ %'

143 !Þ#$ "( &!! œ % !#& ,  , defectiveÊ "( &!!
%!#& œ "$ %(&, , acceptable units

144 !Þ$' (&! œ #(!  lb of water is removed

The high-capacity order will produce the greater profi

œ $(Þ&! # &$! œ *% )(&  œ &(Þ$& " '(! œ *& ((%Þ&! 

t

The Guernsey cow will produce more butte

rfat

153 Silage per cowœ !Þ&( "# !!! œ ')%! ,  pounds; $! ' )%! œ #!& #!! ,  , lb of silage

154 2nd costœ % &!!  "&! #(Þ&! œ % &!!  % "#& œ ) '#& Ê,   , , , 2nd is lower

The regular furnace will be more expensive

œ " ($!  '! "!(Þ(& œ " ($!  ' %'& œ ) "*&

œ % "(!  '! &(Þ&! œ % "(!  $ %&! œ ( '#!

after 5 years

157-162 Answers may vary.

163 No Each proper fraction is less than 1.

When a number is multiplied by a numberless than 1, the result is smaller than theoriginal number

The result will be a number between thetwo fractions

164.

Exercises 1.3 (page 36)

#

#  

34. Z œ F2"$ , cubic units 35. Z œ %$1<$, cubic units 36. area

75 $ † (
& $ † %
"" $ † (
& "#
"" $ † (
& " #"
& "'

% $  #
$  & œ % &
$  & œ% &
*  & œ #!
*  & œ"' œ "

Exercises 1.4 (page 45)

9. &  $ (
# œ &  $ & œ &  "& œ #!    10. &  $ (
# œ ) & œ %!    

11. &  $ (
# œ &  #"
# œ #'
# œ #%  12. &  $ (
# œ ) (
# œ &'
# œ &%  

49. )
% œ ) 
% œ %  50.
)
% œ
) 
% œ
"# 

89.
'Þ(

#Þ& œ
'Þ(  #Þ& œ
%Þ#    90. #&Þ$
"(Þ& œ #&Þ$ 
"(Þ& œ (Þ) 

109. "# "&$
#$  &( œ "# ")(, , 110. "" *"(  #*  "#
&$
#(
#( œ "" )&", ,

111. &!! † #
$!! œ "!!!
$!! œ (!! shares 112. ,# &$#
'$$ œ " )**$ ,

113 %$(Þ%&  #&Þ"(  $(Þ*$  %&Þ#'
"(Þ"$
)$Þ%%
##Þ&) œ %##Þ''$

115 ""& !!!
()
%%'
#"'
( '"#Þ$#
#$ %%&Þ""  ##$ œ )$ %#&Þ&(, , , $ ,

#! &!! !!!
( '%&Þ"#
"! !!!  !Þ!# ( '%&Þ"#
!Þ#) #!† &!! !!!

œ #& !!!
( '%&Þ"#
"! !!!  "&#Þ*!
( !!! œ &!(Þ()

119 The answers agree if the two numbers have the same sign The answers do not agree if the numbers

have opposite signs

120 Answers may vary.

105 Œ"%
#$Œ$%
"$ Œœ "#$
"#) Œ"#*
"#%  Œœ
"#& Œ "#& œ
"%%#&

106 Œ#&
"%Œ"&
$% Œœ #!)
#!& Œ#!%
"&#! Œ Œœ #!$
""#!œ
%!!$$