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Solution Manual for Basic College Mathematics, 10th Edition

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    S OLUTIONS M ANUAL B EVERLY F USFIELD B ASIC C OLLEGE M ATHEMATICS T ENTH E DITION Margaret L. Lial American River College Stanley A. Salzman American River College Diana L. Hestwood Minneapolis Community and Technical College

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    Table of Contents 1 Whole Numbers.............................................................................................................................1 1.1 Reading and Writing Whole Numbers • ......................................................... 1 1.2 Adding Whole Numbers • .............................................................................. 2 1.3 Subtracting Whole Numbers • ........................................................................ 9 1.4 Multiplying Whole Numbers • ....................................................................... 16 1.5 Dividing Whole Numbers • ............................................................................ 24 1.6 Long Division • .............................................................................................. 30 Summary Exercises • ...................................... 36 Whole Numbers Computation 1.7 Rounding Whole Numbers • ........................................................................... 38 1.8 Exponents, Roots, and Order of Operations • ................................................. 46 1.9 Reading Pictographs, Bar Graphs, and Line Graphs • .................................... 50 1.10 Solving Application Problems • ..................................................................... 52 Chapter 1 Review Exercises • ......................................................................... 63 Chapter 1 Mixed Review Exercises • ............................................................. 71 Chapter 1 Test • ............................................................................................... 73 2 Multiplying and Dividing Fractions.......................................................................................... 76 2.1 Basics of Fractions • ....................................................................................... 76 2.2 Mixed Numbers • ............................................................................................ 77 2.3 Factors • .......................................................................................................... 84 2.4 Writing a Fraction in Lowest Terms • ............................................................ 91 Summary Exercises • ............................................................ 95 Fraction Basics 2.5 Multiplying Fractions • ................................................................................... 97 2.6 Applications of Multiplication • ..................................................................... 101 2.7 Dividing Fractions • ........................................................................................ 105 2.8 Multiplying and Dividing Mixed Numbers • .................................................. 110 Chapter 2 Review Exercises • ......................................................................... 116 Chapter 2 Mixed Review Exercises • ............................................................. 119 Chapter 2 Test • .............................................................................................. 120 Cumulative Review Exercises (Chapters 1–2) • ............................................. 122 3 Adding and Subtracting Fractions.......................................................................................... 125 3.1 Adding and Subtracting Like Fractions • ....................................................... 125 3.2 Least Common Multiples • ............................................................................. 127 3.3 Adding and Subtracting Unlike Fractions • .................................................... 133 3.4 Adding and Subtracting Mixed Numbers • ..................................................... 138 Summary Exercises • ........................................... 148 Operations with Fractions 3.5 Order Relations and the Order of Operations • ............................................... 151 Chapter 3 Review Exercises • ......................................................................... 157 Chapter 3 Mixed Review Exercises • .............................................................. 161 Chapter 3 Test • .............................................................................................. 163 Cumulative Review Exercises (Chapters 1–3) • ............................................. 165

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    4 Decimals.....................................................................................................................................168 4.1 Reading and Writing Decimal Numbers • ...................................................... 168 4.2 Rounding Decimal Numbers • ........................................................................ 171 4.3 Adding and Subtracting Decimal Numbers • ................................................. 176 4.4 Multiplying Decimal Numbers • ..................................................................... 182 Summary Exercises • ............................ 188 Adding, Subtracting, and Multiplying Decimal Numbers 4.5 Dividing Decimal Numbers • ......................................................................... 190 4.6 Fractions and Decimals • ................................................................................ 200 Chapter 4 Review Exercises • ......................................................................... 206 Chapter 4 Mixed Review Exercises • .............................................................. 210 Chapter 4 Test • .............................................................................................. 212 Cumulative Review Exercises (Chapters 1–4) • ............................................. 213 5 Ratio and Proportion................................................................................................................217 5.1 Ratios • ........................................................................................................... 217 5.2 Rates • ............................................................................................................. 221 5.3 Proportions • ................................................................................................... 225 5.4 Solving Proportions • ...................................................................................... 229 Summary Exercises • .................................... 234 Ratios, Rates, and Proportions 5.5 Solving Application Problems with Proportions • .......................................... 237 Chapter 5 Review Exercises • ......................................................................... 243 Chapter 5 Mixed Review Exercises • ............................................................. 247 Chapter 5 Test • .............................................................................................. 249 Cumulative Review Exercises (Chapters 1–5) • ............................................. 250 6 Percent....................................................................................................................................... 254 6.1 Basics of Percent • .......................................................................................... 254 6.2 Percents and Fractions • .................................................................................. 258 6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem • .................................................................................... 265 6.4 Using Proportions to Solve Percent Problems • ............................................. 271 6.5 Using the Percent Equation • .......................................................................... 279 Summary Exercises • ....... 284 Using Percent Proportion and Percent Equation 6.6 Solving Application Problems with Percent • ................................................ 286 6.7 Simple Interest • ............................................................................................. 293 6.8 Compound Interest • ....................................................................................... 298 Chapter 6 Review Exercises • ......................................................................... 303 Chapter 6 Mixed Review Exercises • ............................................................. 307 Chapter 6 Test • .............................................................................................. 309 Cumulative Review Exercises (Chapters 1–6) • ............................................. 311

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    7 Measurement.............................................................................................................................315 7.1 Problem Solving with U.S. Measurement Units • .......................................... 315 7.2 The Metric System—Length • ........................................................................ 322 7.3 The Metric System—Capacity and Weight (Mass) • ...................................... 325 Summary Exercises • .......................... 330 U.S. and Metric Measurement Units 7.4 Problem Solving with Metric Measurement • ................................................ 331 7.5 Metric–U.S. Measurement Conversions and Temperature • .......................... 334 Chapter 7 Review Exercises • ......................................................................... 338 Chapter 7 Mixed Review Exercises • ............................................................. 340 Chapter 7 Test • .............................................................................................. 342 Cumulative Review Exercises (Chapters 1–7) • ............................................. 343 8 Geometry................................................................................................................................... 347 8.1 Basic Geometric Terms • ................................................................................ 347 8.2 Angles and Their Relationships • ................................................................... 348 8.3 Rectangles and Squares • ................................................................................ 350 8.4 Parallelograms and Trapezoids • .................................................................... 355 8.5 Triangles • ....................................................................................................... 358 8.6 Circles • .......................................................................................................... 361 Summary Exercises • ........................... 366 Perimeter, Circumference, and Area 8.7 Volume • ......................................................................................................... 368 8.8 Pythagorean Theorem • .................................................................................. 371 8.9 Similar Triangles • .......................................................................................... 375 Chapter 8 Review Exercises • ......................................................................... 380 Chapter 8 Mixed Review Exercises • ............................................................. 384 Chapter 8 Test • .............................................................................................. 386 Cumulative Review Exercises (Chapters 1–8) • ............................................. 388 9 Basic Algebra.............................................................................................................................391 9.1 Signed Numbers • ........................................................................................... 391 9.2 Adding and Subtracting Signed Numbers • .................................................... 393 9.3 Multiplying and Dividing Signed Numbers • ................................................. 402 9.4 Order of Operations • ..................................................................................... 406 Summary Exercises • ................................ 413 Operations with Signed Numbers 9.5 Evaluating Expressions and Formulas • ......................................................... 415 9.6 Solving Equations • ........................................................................................ 419 9.7 Solving Equations with Several Steps • .......................................................... 429 9.8 Using Equations to Solve Application Problems • ......................................... 438 Chapter 9 Review Exercises • ......................................................................... 447 Chapter 9 Mixed Review Exercises • ............................................................. 453 Chapter 9 Test • .............................................................................................. 455 Cumulative Review Exercises (Chapters 1–9) • ............................................. 457

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    10 Statistics..................................................................................................................................... 461 10.1 Circle Graphs • ............................................................................................... 461 10.2 Bar Graphs and Line Graphs • ........................................................................ 465 Summary Exercises • ......................................................................... 468 Graphs 10.3 Frequency Distributions and Histograms • ..................................................... 469 10.4 Mean, Median, and Mode • ............................................................................ 470 Chapter 10 Review Exercises • ....................................................................... 4 Chapter 10 Review Exercises • ....................................................................... 474 Chapter 10 Mixed Review Exercises • ........................................................... 476 Chapter 10 Test • ............................................................................................ 477 Cumulative Review Exercises (Chapters 1–10) • ........................................... 479 Appendix: Inductive and Deductive Reasoning • ......................................................... 483

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    1.1 Reading and Writing Whole Numbers 1 CHAPTER 1 WHOLE NUMBERS 1.1 Reading and Writing Whole Numbers 1.1 Margin Exercises 1. (a) $%# is in the place. % tens (b) ("% is in the place. % ones (c) %(* is in the place. % hundreds 2. The place value of each digit: (a) 14,218 1: ten-thousands 4: thousands 2: hundreds 1: tens 8: ones (b) 460,329 4: hundred-thousands 6: ten-thousands 0: thousands 3: hundreds 2: tens 9: ones 3. The digits in each period (group) of $ #&" '!* $#) , , , : (a) is in the billions period. $ is in the millions period. (b) #&" is in the thousands period. (c) '!* is in the ones period. (d) $#) 4. (a) is eighteen. ") is thirty-six. (b) $' is four hundred eighteen. (c) %") is nine hundred two. (d) *!# 5. (a) is three , one four. $"!% thousand hundred , is ninety-five , three hundred (b) *& $(# thousand seventy-two. , , is one hundred million, seventy- (c) "!! !(& !!# five thousand, two. , , , is eleven (d) "" !## !%! !!! billion, twenty-two million, forty thousand. 6. thousand, four hundred thirty-seven is (a) One "%$( . hundred seventy-one thousand, six is (b) Nine *(" !!'Þ , hundred twenty- (c) Eighty-two million, three five is , , . )# !!! $#& 7. (a) The U.S. population in the 2015 column is $ 25 million and is written in digits as $ !!! !!! 25, , . The estimated U.S. population in the 2020 (b) column is 41 million and is written in digits as $ $ !!! !!! 41, , . The household income in 2010 was $ 6,326 (c) % and is written in words as forty-six thousand, three hundred twenty-six dollars. (d) The estimated average yearly salary in 2020 is $ 6,169 and is written in words as thirty-six $ thousand, one hundred sixty-nine dollars. 1.1 Section Exercises 1. The digit in the hundreds place in the whole number is . $ '& ! ! (c) 2. The digit in the ten-thousands place in the whole number , is . " % ')" $ $ (b) 3. , ; ten-thousands: ; hundreds: " ! ) "& " ! 4. , : ; ones: ) # ' $$ ) # ; ten-thousands 5. , , , ; thousands: ( '# &* ")$ # ) # millions: ; ) 6. , , , ; " ! (! ##& !"' billions: ; " millions: ! 7. The digits in the thousands period in the whole number , , are . &&# $") ')( ')( 8. The digits in the millions period in the whole number , , , are . *(% )(' &#) $#" $#" 9. thousands: ; ones: $ &'" %$& , , ; millions: ; $ &'" %$& 10. , , , "!! #&) "!! !!' ; billions: ; "!! millions: ; #&) thousands: ; ones: "!! ' 11. Evidence suggests that this is true. It is common to count using fingers.

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    2 Chapter 1 Whole Numbers 12. No doubt there is a relationship here. One answer might be that people could count using their fingers and toes and, therefore, thought of them as numbers or digits. 13. , is twenty-three thousand, one hundred #$ ""& fifteen. The statement is false (no "and"). 14. , is thirty-seven thousand, eight hundred $( ))' eighty-six. The statement is true . 15. , is three hundred forty-six , $%' !!* thousand nine. 16. , is two hundred eighteen , #") !$$ thousand thirty- . three 17. , , is twenty-five #& (&' ''& million, seven hundred fifty-six thousand, six hundred sixty-five. 18. , , is nine hundred ninety-nine *** **$ !!! million, nine hundred ninety-three thousand. 19. Sixty-three thousand, one hundred sixty-three is ' " $ '$ , Þ 20. Ninety-five thousand, one hundred eleven is * "Þ & "" , 21. Ten hundred twenty-three is million, two "! !!! ##$ , , . 22. One hundred million hundred is , two "!! !!! #!!Þ , , 23. Seventy-nine hundred eighty million, six thousand in digits is 79,680,000. 24. Two hundred -three thousand in digits is forty #%$ !!!Þ , 25. Fifty million, fifty-one thousand, five hundred seven in digits is , , . &! !&" &!( 26. Fifty-two thousand, eight hundred in digits is 52,800. 27. Fifty-four million, seven hundred fifty thousand in digits is , , &% (&! !!!Þ 28. Two hundred twenty-one thousand in digits is ##" !!!Þ , 29. Eight hundred trillion, six hundred twenty-one million, twenty thousand, two hundred fifteen in digits is , , , , . )!! !!! '#" !#! #"& 30. ,3 , , is two hundred fifty- # &$ )*' %%) billion, three three hundred ninety-six thousand, million, eight four hundred forty-eight. 31. The least used method of transportation is public transportation. , , in words is six ' !'* &)* million, sixty-nine thousand, five hundred eighty-nine. 32. From the table, "drive alone" is the method of transportation most used. , , written out )% #"& #*) is eighty-four hundred fifteen million, two thousand, two hundred ninety-eight. 33. The number of people who walk to work or work at home is , , . In words, , , is ( )*% *"" ( )*% *"" written as seven hundred ninety- million, eight four thousand, nine hundred eleven. 34. From the table, the number of people who carpool is , , . Written in words, "& $(( '$% "& $(( '$% , , is fifteen hundred million, three seventy-seven thousand, six hundred thirty-four. 1.2 Adding Whole Numbers 1.2 Margin Exercises 1. ; (a) #  ' œ '  œ ) # ) (b) ; *  & œ "% &  * œ "% ; (c) %  ( œ "" (  % œ "" 2. (a) $ ) $  ) œ "" & ""  & œ "' % "'  % œ #!  ' #!  ' œ #' #' (b) & ' &  ' œ "" $ ""  $ œ "% # "%  # œ "'  % "'  % œ #! #! (c) * ' *  ' œ "& ) "&  ) œ #$ ( #$  ( œ $!  $ $!  $ œ $$ $$ (d) $ ) $  ) œ "" ' ""  ' œ "( % "(  % œ #"  ) #"  ) œ #* #*

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    1.2 Adding Whole Numbers 3 3. (a) (b) #' &$%  ($  #'& ** (** , , , (c) %# $!&  "" &'$ &$ )') 4. ones and ones ones (a) ''  # ( ' ( œ "$ $ " * (b) &)  $ $ ) $ œ "" * " " ones and ones ones ones and ones ones (c) &'  $ ( ' ( œ "$ * $ " ones and ones ones (d) $%  % * % * œ "$ ) $ " 5. , (a) % " # " " '# % #( " $( #  ) *( ' "$ " () , (b) ( ) #" %$ & ( # $! &  " '* $ "! $# ' # # " 6. (a) )"' $'$ "( # &  ('&% ))&( , , , (b) "& )#* ('& () "& * (  "$ "(* #* ))# 7. The shortest route from Lake Buena Vista to Conway is as follows: % ' $  Lake Buena Vista to Resort Area Resort Area to Pine Castle Pine Castle to Belle Isle Belle Isle to Conway miles ' "* 8. The next shortest route from Orlando to Clear Lake is as follows: & ) & ' ( Orlando to Pine Hills Pine Hills to Altamonte Springs Altamonte Springs to Casselberry Casselberry to Bertha Bertha to Winter Park Winter Park to Clear Lake miles  ( $) 9. feet &#' ## #*( &#'  #*( "'%' The amount of fencing needed is feet, "'%' which is the perimeter of (distance around) the project. 10. correct (a) '$ % *  #) "!% correct (b) *#( $*& '%  #&" "'$(

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    4 Chapter 1 Whole Numbers ( is incorrect.) (c) (* #") (  '$* *%$ *&$ , , , , ( , is incorrect.) (d) #" )*# "" (%'  %$ *#& (( &'$ (* &'$ 1.2 Section Exercises 1. %$  &% *( 2. ")  "" #* 3. &'  $$ )* 4. )$  "& *) 5. $"(  &(# ))* 6. &(%  $#& )** 7. $") "&"  %#! ))* 8. "$& #&$  %"! (*) 9. '$"! #&#  "##$ (()& 10. "#" &(!&  $"'$ )*)* 11. Line up the numbers in columns. Then start at the right and add the ones digits. Add the ten digits next, and, finally, the hundreds digits. correct *$# %%  '"$ "&)* 12. Line up: ( is incorrect.) &"( "$"  #&! )*) "!*) 13. Line up: ( is incorrect.) "#&" %$""  #""% ('(' (')' 14. Line up: correct $#%" "&"$  #!"% '(') 15. Line up: , , , , "# "%# %$ #!"  #$ "!$ () %%' 16. Line up: , , , , %" "#% "# $!#  #$ &!! (' *#' 17. Line up: $#"$  &("& )*#) 18. Line up: '$%%  "'&& (*** 19. Line up: , , , $) #!%  #" !#! &* ##% 20. Line up: , , , '$ #&"  $' $!& ** &&'

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    1.2 Adding Whole Numbers 5 21. correct )(  ' $ "& ! " 22. ( is incorrect.) "*  *# """ "!" " 23. correct )'  ' * "& & " 24. ( is incorrect.) $(  ) & "# # "$# " 25. ( is incorrect.) %(  ( % "# " """ " 26. *(  ( * "( ' " 27. '(  ( ) "% & " 28. *'  % ( "% $ " 29. ($  #* "!# " 30. ')  $ ( "! & " 31. ( %'  *! & "'& " " 32. ' #"  $& * *) ! " 33. $ !'  )% ) ""& % " 34. ( *)  #! ' "!! % " " 35. #()  " $& % "$ " " 36. "(#  "&' $#) " 37. * #)  )% $ "(( " " 38. ' )'  ( # ' "% " # " " 39. & #'  ) ) % "% " ! " " 40. ""'  )*( "!"$ " " 41. $&(%  # )"( ' $*" " " 42. , ' )("  ( &#) "% $** " 43. , ( ) *'  $ (# ) "" '# % " " " 44. , * $)#  ( &)' "' *') " 45. , * ' #&  ( *) ' "( '" " " " "

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    6 Chapter 1 Whole Numbers 46. , & (") & '#$  ( %$' ") ((( " " 47. , * ! &' ( ) ' !) *  ($ " "& *& % # # 48. , % ! ## (! * ) '# "  $ ( "$ $) * " " 49. Step 1 : Add the digits in the ones column. Add the digits in the tens column, Step 2 : including the regrouped . # Add the hundreds column, including the Step 3 : regrouped . " Add the thousands column, including the Step 4 : regrouped . " , *! " " # ") (!) * #)'  '$' "! '%) 50. , " ( !) $# " ' "  ) *# ' "" !" ' # " " 51. , * " " " % ## ' !( % %$ &  ) '' $ "& &* % 52. , ' & !& "( $ ( !% %  "' ) "$ )* ! " # 53. , * " " $ #" * '! $ ) # "  " '! % "" && ( 54. , ( ' $" & *) $ ( $ '  &! & "% "' # # " # 55. , # " !* ' $ " ' $  * )) ( "# !( ) " " # 56. # " " $ $ ## ' &! ) * $ (% & " )  # !! & * '* " 57. * # $ $ & &$ * ( # (( # %$ ( ' $  $# ) % #& ! 58. $" )( )" ! &# ( ( ' # '' &  $" ( ( &) # # # $

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    1.2 Adding Whole Numbers 7 59. , * # # " %"$ )& * *"* '!# $"  " #") "# #') 60. , * $ $ # &(' ( *$% '! ()" & *')  $(" "& '*! 61. Add up to check addition. correct #!*" )$# %')  (*" #!*" 62. Add up to check addition. incorrect; should be ('* "(* #"%  $(' (&* ('* 63. Add up to check addition. correct ")&( $#' )&#  '(* ")&( 64. Add up to check addition. incorrect; should be ""#! "( #*' ("$  *% "##! ""#! 65. Add up to check addition. correct &%#! %("$ #) '"&  '% &%#! 66. Add up to check addition. , , correct "" &)$ $ '#) (# &'%  ( $"* "" &)$ 67. Add up to check addition. , , incorrect; should be , "" &(( '() ( *&# &' (")  # "($ "" $(( "" &(( 68. Add up to check addition. , , correct "" #"# &"' ) ('! #% ")*  " (#$ "" #"# 69. Add up to check addition. , , correct "% $$# %("% #( (( ))()  '$' "% $$#

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    8 Chapter 1 Whole Numbers 70. Add up to check addition. , , incorrect; should be , "' (!* ' ("& #)$ * '"( "$  )" "' ("* "' (!* 71. Changing the order in which two numbers are added does not change the sum. You can add two numbers from bottom to top when checking addition. 72. Changing the grouping of the addends in an addition problem does not change the sum. For example, you can add pairs of numbers that add to . "! 73. The shortest route between Southtown and Rena is through Thomasville. #"  "# $$ Southtown to Thomasville Thomasville to Rena miles 74. The shortest route from Elk Hill to Oakton is through Thomasville. ")  "( $& Elk Hill to Thomasville Thomasville to Oakton miles 75. The shortest route between Thomasville and Murphy is through Rena and Austin. "# "&  "" $) Thomasville to Rena Rena to Austin Austin to Murphy miles 76. The shortest route from Murphy to Thomasville is through Austin and Rena. "" "&  " $) Murphy to Austin Austin to Rena Rena to Thomasville miles 2 77. To find the total amount raised, add the amounts raised at each event. $ , $ , $ %)#  "# )'! "' $%# flea market annual auction total amount raised 78. ")&  "#* $"% hot dogs hamburgers total items sold 79. %"$  #)' '** women men total people 80. #)$  #") &!" employees employees total employees 81. , , "$ ()' $ %*(  # )(% #! "&( on-campus day on-campus night on-line total students 82. ))( ##$ %'& ')$ &*( #"%  ")"( %))' $ $ total tornadoes 83. To find the perimeter, add the lengths of the % sides in any order. feet $#& "'! $#&  "'! *(! feet is the total distance around the lot. *(! 84. To find the perimeter, add the lengths of the % sides in any order. feet %) $# %)  $# "'! Maria will need feet of gutters. "'! 85. To find the perimeter, add the lengths of the $ sides in any order. feet $! #%  ") (# Martin will need feet of lumber. (#

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    1.3 Subtracting Whole Numbers 9 86. To find the perimeter, add the lengths of the % sides in any order. meters %'& &($ %*)  &($ #"!* meters of fencing will be needed. #"!* 87. The largest four-digit number possible, using the digits , , , and each once, will begin with the % " * # largest digit in the thousands place and the remaining digits will descend in size until the smallest digit is in the ones place. Therefore, the largest four-digit number possible is . *%#" 88. The smallest four-digit number possible, using the digits , , , and each once, will begin with % " * # the smallest digit in the thousands place and the remaining digits will ascend in size until the largest digit is in the ones place. Therefore, the smallest four-digit number possible is . "#%* 89. The largest five-digit number possible, using the digits , , and at least once, will use the largest ' # ( digit in the ten-thousands, thousands, and hundreds place and the remaining digits will descend in size until the smallest digit is in the ones place. Therefore, the largest five-digit number possible is , . (( ('# 90. The smallest five-digit number possible, using the digits , , and at least once, will use the ' # ( smallest digit in the ten-thousands, thousands, and hundreds place and the remaining digits will ascend in size until the largest digit is in the ones place. Therefore, the smallest five-digit number possible is , . ## #'( 91. The largest seven-digit number possible is * **% %$$ , , . 92. The smallest seven-digit number possible is $ $$% %** , , . 93. To write the largest seven-digit number possible, using the digits , , and , and using each digit % $ * at least twice, write the largest digits on the left, and use the smaller digits as you move right. 94. To write the smallest seven-digit number possible, using the digits , , and , and using % $ * each digit at least twice, write the smallest digits on the left, and use the larger digits as you move right. 1.3 Subtracting Whole Numbers 1.3 Margin Exercises 1. (a) : )  # œ "! "!  œ ) "!  œ # ) # or : (b) (  % œ "" ""  ( œ % ""  % œ ( or : (c) "&  ## œ $( $(  "& œ ## $(  ## œ "& or : (d) #$  && œ () ()  && œ #$ ()  #$ œ && or 2. : (a) (  & œ # ( œ &  ( œ #  & # or (b) : *  % œ & * œ %  & * œ &  % or : (c) #"  "& œ ' #" œ "&  ' #" œ '  "& or : (d) &)  %# œ "' &) œ %#  "' &) œ "'  %# or 3. ones ones one tens tens tens (a) (% %  $ œ "  %$ (  % œ $ $" ones ones ones tens tens tens (b) ') )  % œ %  #% '  # œ % %% (c) %#*  $") """ (d) $*#(  #'"% "$"$ 4. (a) (' %&  %&  $" Subtraction Addition problem problem $" (' is correct. Match: $" (b) &$ ##  ##  #" #" %$ Subtraction Addition problem problem is incorrect. Not a match: #" ( continued )

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    10 Chapter 1 Whole Numbers Rework. &$ ##  ##  $" $" &$ Subtraction Addition problem problem is correct. Match: $" (c) $(% #&"  #&"  ""$ ""$ $'% Subtraction Addition problem problem is incorrect. Not a match: ""$ Rework. $(% #&"  #&"  "#$ "#$ $(% Subtraction Addition problem problem is correct. Match: "#$ (d) (&$"  %$!" $#$! Subtraction problem %$!"  $#$! (&$" Addition problem is correct. Match: $#$! 5. / / (a) & )  " * $ * % ") / / (b) ) '  $ ) % ) ( "' / / (c) % "  # ( " % $ "" / / (d) ) ' $  % ( )" ' & "$ / / (e) ( ' #  "& ( '! & & "# 6. / / (a) * # (  % $ % ) "# ) ) / / / (b) ' ( &  ) ' & ) * & " '"& / / / (c) % ( (  $ ) * ) ) $ " '"( / / / / (d) " % " (  * ) ) % # * ! "$ "!"( 8 7 / / / (e) 7 "' $ *  $ ) * # % ) % ( "$ 7. / / / / (a) # ! '  " ( ( # * " * "!"' / / / / (b) ( ! $  % " & # ) ) ' * "!"$ / / / / (c) ( ! # %  # ' $ # % $ * # ' * "!"# 8. / / / / (a) $ ! )  " & * * # * "!") " % / / (b) & ( !  $ ' ) # ! # ' "! / / / / (c) " & ( !  * ) $ & ) ( ! "% "'"! / / / / / / (d) ( ! ! "  & " * $ " ) ! ) ' * * "!"!"" 4 / / / / / / (e) $ * * ! ! !  " ( ) # # # " ) "!"!"!

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