INSTRUCTOR’S
SOLUTIONS MANUAL
P REALGEBRA AND
I NTRODUCTORY A LGEBRA
,Chapter 1 1
Chapter 2 42
Chapter 3 71
Chapter 4 101
Chapter 5 164
Chapter 6 209
Chapter 7 253
Chapter 8 284
Chapter 9 324
Chapter 10 368
Chapter 11 414
Chapter 12 454
Chapter 13 507
Chapter 14 569
Chapter 15 613
Chapter 16 647
Appendix 698
Practice Final Exam 704
, Chapter 1
Section 1.2 Practice Exercises 5. In a whole number, each group of 3 digits is
called a period.
1. The place value of the 8 in 38,760,005 is
millions. 6. The place value of the digit 4 in the whole
number 264 is ones.
2. The place value of the 8 in 67,890 is hundreds.
7. hundreds
3. The place value of the 8 in 481,922 is ten-
thousands. 8. To read (or write) a number, read from left to
right.
4. 54 is written as fifty-four.
9. 80,000
5. 678 is written as six hundred seventy-eight.
10. Dachsund
6. 93,205 is written as ninety-three thousand, two
hundred five. Exercise Set 1.2
7. 679,430,105 is written as six hundred seventy- 2. The place value of the 5 in 905 is ones.
nine million, four hundred thirty thousand, one
hundred five. 4. The place value of the 5 in 6527 is hundreds.
8. Thirty-seven in standard form is 37. 6. The place value of the 5 in 79,050,000 is ten-
thousands.
9. Two hundred twelve in standard form is 212.
8. The place value of the 5 in 51,682,700 is ten-
10. Eight thousand, two hundred seventy-four in millions.
standard form is 8,274 or 8274.
10. 316 is written as three hundred sixteen.
11. Five million, fifty-seven thousand, twenty-six in
standard form is 5,057,026. 12. 5445 is written as five thousand, four hundred
forty-five.
12. 4,026,301
= 4,000,000 + 20,000 + 6000 + 300 + 1 14. 42,009 is written as forty-two thousand, nine.
13. a. Find Australia in the “Country” column. 16. 3,204,000 is written as three million, two
Read from left to right until the “bronze” hundred four thousand.
column is reached. Australia won
22 bronze medals. 18. 47,033,107 is written as forty-seven million,
thirty-three thousand, one hundred seven.
b. Find the countries for which the entry in the
“Total” column is greater than 60. The 20. 254 is written as two hundred fifty-four.
United States, China, ROC, and Great
Britain won more than 60 medals. 22. 105,447 is written as one hundred five thousand,
four hundred forty-seven.
Vocabulary, Readiness & Video Check 1.2
24. 1,110,000,000 is written as one billion, one
1. The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, hundred ten million.
... are called whole numbers.
26. 11,239 is written as eleven thousand, two
2. The number 1286 is written in standard form. hundred thirty-nine.
3. The number “twenty-one” is written in words. 28. 202,700 is written as two hundred two thousand,
seven hundred.
4. The number 900 + 60 + 5 is written in expanded
form. 30. Four thousand, four hundred sixty-eight in
standard form is 4468.
Copyright © 2025 Pearson Education, Inc. 1
, Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
32. Seventy-three thousand, two in standard form is 74. answers may vary
73,002.
76. A quadrillion in standard form is
34. Sixteen million, four hundred five thousand, 1,000,000,000,000,000.
sixteen in standard form is 16,405,016.
Section 1.3 Practice Exercises
36. Two million, twelve in standard form is
2,000,012. 1. 4135
252
38. Six hundred forty thousand, eight hundred 4387
eighty-one in standard form is 640,881.
1 1 11
40. Two hundred thirty-four thousand in standard
2. 47, 364
form is 234,000.
135,898
42. One thousand, eight hundred fifteen in standard 183, 262
form is 1815.
3. Notice 12 + 8 = 20 and 4 + 6 = 10.
44. Two hundred sixty million, one hundred thirty- 12 + 4 + 8 + 6 + 5 = 20 + 10 + 5 = 35
eight thousand, five hundred sixty-nine dollars in
standard form is $260,138,569. 12 2
4. 6432
46. Seven hundred fifteen in standard form is 715. 789
48. 789 = 700 + 80 + 9 54
28
50. 6040 = 6000 + 40 7303
52. 20,215 = 20,000 + 200 + 10 + 5 5. a. 14 6 = 8 because 8 + 6 = 14.
54. 99,032 = 90,000 + 9000 + 30 + 2 b. 20 8 = 12 because 12 + 8 = 20
56. 47,703,029 = 40,000,000 + 7,000,000 + 700,000
c. 93 93 = 0 because 0 + 93 = 93.
+ 3000 + 20 + 9
58. Mount Baker erupted in 1792, which is in d. 42 0 = 42 because 42 + 0 = 42.
standard form.
6. a. 9143 Check: 9021
60. Mount Shasta and Mount St. Helens have each 122 122
had two eruptions listed. 9021 9143
62. Mount St. Helens has an eruption listed in 1980. b. 978 Check: 127
All other eruptions listed in the table occurred 851 851
before this one.
127 978
64. More Golden retrievers are registered than
German shepherds. 8 17
7. a. 69 7 Check: 648
66. French bulldogs are second in popularity. 24 is 49 49
written as twenty-four. 64 8 697
68. The maximum height of an average-size standard
2 12
dachsund is 9 inches.
b. 326 Check: 81
70. The largest number is 77,753. 245 245
81 326
72. Yes
2
SOLUTIONS MANUAL
P REALGEBRA AND
I NTRODUCTORY A LGEBRA
,Chapter 1 1
Chapter 2 42
Chapter 3 71
Chapter 4 101
Chapter 5 164
Chapter 6 209
Chapter 7 253
Chapter 8 284
Chapter 9 324
Chapter 10 368
Chapter 11 414
Chapter 12 454
Chapter 13 507
Chapter 14 569
Chapter 15 613
Chapter 16 647
Appendix 698
Practice Final Exam 704
, Chapter 1
Section 1.2 Practice Exercises 5. In a whole number, each group of 3 digits is
called a period.
1. The place value of the 8 in 38,760,005 is
millions. 6. The place value of the digit 4 in the whole
number 264 is ones.
2. The place value of the 8 in 67,890 is hundreds.
7. hundreds
3. The place value of the 8 in 481,922 is ten-
thousands. 8. To read (or write) a number, read from left to
right.
4. 54 is written as fifty-four.
9. 80,000
5. 678 is written as six hundred seventy-eight.
10. Dachsund
6. 93,205 is written as ninety-three thousand, two
hundred five. Exercise Set 1.2
7. 679,430,105 is written as six hundred seventy- 2. The place value of the 5 in 905 is ones.
nine million, four hundred thirty thousand, one
hundred five. 4. The place value of the 5 in 6527 is hundreds.
8. Thirty-seven in standard form is 37. 6. The place value of the 5 in 79,050,000 is ten-
thousands.
9. Two hundred twelve in standard form is 212.
8. The place value of the 5 in 51,682,700 is ten-
10. Eight thousand, two hundred seventy-four in millions.
standard form is 8,274 or 8274.
10. 316 is written as three hundred sixteen.
11. Five million, fifty-seven thousand, twenty-six in
standard form is 5,057,026. 12. 5445 is written as five thousand, four hundred
forty-five.
12. 4,026,301
= 4,000,000 + 20,000 + 6000 + 300 + 1 14. 42,009 is written as forty-two thousand, nine.
13. a. Find Australia in the “Country” column. 16. 3,204,000 is written as three million, two
Read from left to right until the “bronze” hundred four thousand.
column is reached. Australia won
22 bronze medals. 18. 47,033,107 is written as forty-seven million,
thirty-three thousand, one hundred seven.
b. Find the countries for which the entry in the
“Total” column is greater than 60. The 20. 254 is written as two hundred fifty-four.
United States, China, ROC, and Great
Britain won more than 60 medals. 22. 105,447 is written as one hundred five thousand,
four hundred forty-seven.
Vocabulary, Readiness & Video Check 1.2
24. 1,110,000,000 is written as one billion, one
1. The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, hundred ten million.
... are called whole numbers.
26. 11,239 is written as eleven thousand, two
2. The number 1286 is written in standard form. hundred thirty-nine.
3. The number “twenty-one” is written in words. 28. 202,700 is written as two hundred two thousand,
seven hundred.
4. The number 900 + 60 + 5 is written in expanded
form. 30. Four thousand, four hundred sixty-eight in
standard form is 4468.
Copyright © 2025 Pearson Education, Inc. 1
, Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
32. Seventy-three thousand, two in standard form is 74. answers may vary
73,002.
76. A quadrillion in standard form is
34. Sixteen million, four hundred five thousand, 1,000,000,000,000,000.
sixteen in standard form is 16,405,016.
Section 1.3 Practice Exercises
36. Two million, twelve in standard form is
2,000,012. 1. 4135
252
38. Six hundred forty thousand, eight hundred 4387
eighty-one in standard form is 640,881.
1 1 11
40. Two hundred thirty-four thousand in standard
2. 47, 364
form is 234,000.
135,898
42. One thousand, eight hundred fifteen in standard 183, 262
form is 1815.
3. Notice 12 + 8 = 20 and 4 + 6 = 10.
44. Two hundred sixty million, one hundred thirty- 12 + 4 + 8 + 6 + 5 = 20 + 10 + 5 = 35
eight thousand, five hundred sixty-nine dollars in
standard form is $260,138,569. 12 2
4. 6432
46. Seven hundred fifteen in standard form is 715. 789
48. 789 = 700 + 80 + 9 54
28
50. 6040 = 6000 + 40 7303
52. 20,215 = 20,000 + 200 + 10 + 5 5. a. 14 6 = 8 because 8 + 6 = 14.
54. 99,032 = 90,000 + 9000 + 30 + 2 b. 20 8 = 12 because 12 + 8 = 20
56. 47,703,029 = 40,000,000 + 7,000,000 + 700,000
c. 93 93 = 0 because 0 + 93 = 93.
+ 3000 + 20 + 9
58. Mount Baker erupted in 1792, which is in d. 42 0 = 42 because 42 + 0 = 42.
standard form.
6. a. 9143 Check: 9021
60. Mount Shasta and Mount St. Helens have each 122 122
had two eruptions listed. 9021 9143
62. Mount St. Helens has an eruption listed in 1980. b. 978 Check: 127
All other eruptions listed in the table occurred 851 851
before this one.
127 978
64. More Golden retrievers are registered than
German shepherds. 8 17
7. a. 69 7 Check: 648
66. French bulldogs are second in popularity. 24 is 49 49
written as twenty-four. 64 8 697
68. The maximum height of an average-size standard
2 12
dachsund is 9 inches.
b. 326 Check: 81
70. The largest number is 77,753. 245 245
81 326
72. Yes
2
