I STRUCTOR’S SOLUTIO S
N N
MA UAL
N
PREALGEBRA A D N
I TRODUCTORY ALGEBRA
N
,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
Appe dix
n 698
Practice Fi al Exam
n 704
, Chapter 1
Sectio n 1.2 Practice Exercises 5. I n a whole n umber, each group of 3 digits is
called a period.
1. The place value of the 8 in 38,760,005 is
millio n s. 6. The place value of the digit 4 in the whole
n umber 264 is o n es.
2. The place value of the 8 in 67,890 is hu n dreds.
7. hu n dreds
3. The place value of the 8 in 481,922 is ten -
thousa n ds. 8. To read (or write) a n umber, read from left to
right.
4. 54 is written as fifty-four.
9. 80,000
5. 678 is written as six hu n dred seven ty-eight.
10. Dachsu n d
6. 93,205 is written as n in ety-three thousa n d, two
hu n dred five. Exercise Set 1.2
7. 679,430,105 is written as six hu n dred seven ty- 2. The place value of the 5 in 905 is o n es.
n in e millio n , four hun dred thirty thousa n d, on e
hu n dred five. 4. The place value of the 5 in 6527 is hu n dreds.
8. Thirty-seven in sta n dard form is 37. 6. The place value of the 5 in 79,050,000 is ten - thousa nds.
9. Two hu n dred twelve in sta n dard form is 212. 8. The place value of the 5 in 51,682,700 is ten -
millio n s.
10. Eight thousa n d, two hu n dred seven ty-four in
sta n dard form is 8,274 or 8274. 10. 316 is written as three hu n dred sixteen .
11. Five millio n , fifty-seven thousa nd, twen ty-six in 12. 5445 is written as five thousa n d, four hu n dred
sta n dard form is 5,057,026. forty-five.
12. 4,026,301 14. 42,009 is written as forty-two thousa n d, n in e.
= 4,000,000 + 20,000 + 6000 + 300 + 1
16. 3,204,000 is written as three millio n , two
13. a. Fin d Australia in the “Cou n try” colum n. hu n dred four thousa n d.
Read from left to right u n til the “bro n ze”
colum n is reached. Australia wo n 18. 47,033,107 is written as forty-seven millio n ,
22 bro n ze medals. thirty-three thousa n d, o n e hu n dred seven .
b. Fin d the cou n tries for which the en try in the 20. 254 is written as two hu n dred fifty-four.
“Total” colum n is greater tha n 60. The
Un ited States, Chin a, ROC, a n d Great Britain 22. 105,447 is written as o n e hu n dred five thousa n d,
wo n more tha n 60 medals. four hu n dred forty-seven .
Vocabulary, Readi ness & Video Check 1.2 24. 1,110,000,000 is written as o n e billio n , o n e
hu n dred ten millio n .
1. The n umbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
... are called whole n umbers. 26. 11,239 is written as eleven thousa n d, two
hu n dred thirty-n in e.
2. The n umber 1286 is written in sta n dard form.
28. 202,700 is written as two hu n dred two thousa n d,
3. The n umber “twen ty-o n e” is written in words. seven hu n dred.
4. The n umber 900 + 60 + 5 is written in expa nded 30. Four thousa n d, four hu n dred sixty-eight in
form. sta n dard form is 4468.
Copyright © 2025 Pearso n Educatio n , I n c. 1
, Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
32. Seven ty-three thousa n d, two in sta n dard form is 74. a n swers may vary
73,002.
76. A quadrillio n in sta n dard form is 1,000,000,000,000,000.
34. Sixteen millio n , four hu n dred five thousa n d, sixteen
in sta n dard form is 16,405,016. Sectio n 1.3 Practice Exercises
36. Two millio n , twelve in sta n dard form is 2,000,012. 1. 4135
+ 252
38. Six hu n dred forty thousa n d, eight hu n dred
4387
eighty-o n e in sta n dard form is 640,881.
1 1 11
40. Two hu n dred thirty-four thousa n d in sta n dard form
is 234,000. 2. 47, 364
+ 135,898
42. On e thousa n d, eight hu n dred fifteen in sta n dard form 183, 262
is 1815.
3. Notice 12 + 8 = 20 a n d 4 + 6 = 10.
44. Two hu n dred sixty millio n , o n e hu n dred thirty- 12 + 4 + 8 + 6 + 5 = 20 + 10 + 5 = 35
eight thousa n d, five hu n dred sixty-n in e dollars in
sta n dard form is $260,138,569. 12 2
4. 6432
46. Seven hu n dred fifteen in sta n dard 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. Mou n t Baker erupted in 1792, which is in sta n dard d. 42 − 0 = 42 because 42 + 0 = 42.
form.
6. a. 9143 Check: 9021
60. Mou n t Shasta a n d Mou n t St. Helen s have each − 122 + 122
had two eruptio n s listed. 9021 9143
62. Mou n t St. Helen s has a n eruptio n listed in 1980. b. 978 Check: 127
All other eruptio n s listed in the table occurred before − 851 + 851
this o n e.
127 978
64. More Golden retrievers are registered tha n
Germa n shepherds. 8 17
7. a. 69 7 Check: 648
66. Fren ch bulldogs are seco n d in popularity. 24 is − 49 + 49
written as twen ty-four. 64 8 697
68. The maximum height of a n average-size sta n dard
2 12
dachsu n d is 9 in ches.
b. 326 Check: 81
70. The largest n umber is 77,753. − 245 + 245
81 326
72. Yes
2
N N
MA UAL
N
PREALGEBRA A D N
I TRODUCTORY ALGEBRA
N
,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
Appe dix
n 698
Practice Fi al Exam
n 704
, Chapter 1
Sectio n 1.2 Practice Exercises 5. I n a whole n umber, each group of 3 digits is
called a period.
1. The place value of the 8 in 38,760,005 is
millio n s. 6. The place value of the digit 4 in the whole
n umber 264 is o n es.
2. The place value of the 8 in 67,890 is hu n dreds.
7. hu n dreds
3. The place value of the 8 in 481,922 is ten -
thousa n ds. 8. To read (or write) a n umber, read from left to
right.
4. 54 is written as fifty-four.
9. 80,000
5. 678 is written as six hu n dred seven ty-eight.
10. Dachsu n d
6. 93,205 is written as n in ety-three thousa n d, two
hu n dred five. Exercise Set 1.2
7. 679,430,105 is written as six hu n dred seven ty- 2. The place value of the 5 in 905 is o n es.
n in e millio n , four hun dred thirty thousa n d, on e
hu n dred five. 4. The place value of the 5 in 6527 is hu n dreds.
8. Thirty-seven in sta n dard form is 37. 6. The place value of the 5 in 79,050,000 is ten - thousa nds.
9. Two hu n dred twelve in sta n dard form is 212. 8. The place value of the 5 in 51,682,700 is ten -
millio n s.
10. Eight thousa n d, two hu n dred seven ty-four in
sta n dard form is 8,274 or 8274. 10. 316 is written as three hu n dred sixteen .
11. Five millio n , fifty-seven thousa nd, twen ty-six in 12. 5445 is written as five thousa n d, four hu n dred
sta n dard form is 5,057,026. forty-five.
12. 4,026,301 14. 42,009 is written as forty-two thousa n d, n in e.
= 4,000,000 + 20,000 + 6000 + 300 + 1
16. 3,204,000 is written as three millio n , two
13. a. Fin d Australia in the “Cou n try” colum n. hu n dred four thousa n d.
Read from left to right u n til the “bro n ze”
colum n is reached. Australia wo n 18. 47,033,107 is written as forty-seven millio n ,
22 bro n ze medals. thirty-three thousa n d, o n e hu n dred seven .
b. Fin d the cou n tries for which the en try in the 20. 254 is written as two hu n dred fifty-four.
“Total” colum n is greater tha n 60. The
Un ited States, Chin a, ROC, a n d Great Britain 22. 105,447 is written as o n e hu n dred five thousa n d,
wo n more tha n 60 medals. four hu n dred forty-seven .
Vocabulary, Readi ness & Video Check 1.2 24. 1,110,000,000 is written as o n e billio n , o n e
hu n dred ten millio n .
1. The n umbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
... are called whole n umbers. 26. 11,239 is written as eleven thousa n d, two
hu n dred thirty-n in e.
2. The n umber 1286 is written in sta n dard form.
28. 202,700 is written as two hu n dred two thousa n d,
3. The n umber “twen ty-o n e” is written in words. seven hu n dred.
4. The n umber 900 + 60 + 5 is written in expa nded 30. Four thousa n d, four hu n dred sixty-eight in
form. sta n dard form is 4468.
Copyright © 2025 Pearso n Educatio n , I n c. 1
, Chapter 1: The Whole Numbers ISM: Prealgebra and Introductory Algebra
32. Seven ty-three thousa n d, two in sta n dard form is 74. a n swers may vary
73,002.
76. A quadrillio n in sta n dard form is 1,000,000,000,000,000.
34. Sixteen millio n , four hu n dred five thousa n d, sixteen
in sta n dard form is 16,405,016. Sectio n 1.3 Practice Exercises
36. Two millio n , twelve in sta n dard form is 2,000,012. 1. 4135
+ 252
38. Six hu n dred forty thousa n d, eight hu n dred
4387
eighty-o n e in sta n dard form is 640,881.
1 1 11
40. Two hu n dred thirty-four thousa n d in sta n dard form
is 234,000. 2. 47, 364
+ 135,898
42. On e thousa n d, eight hu n dred fifteen in sta n dard form 183, 262
is 1815.
3. Notice 12 + 8 = 20 a n d 4 + 6 = 10.
44. Two hu n dred sixty millio n , o n e hu n dred thirty- 12 + 4 + 8 + 6 + 5 = 20 + 10 + 5 = 35
eight thousa n d, five hu n dred sixty-n in e dollars in
sta n dard form is $260,138,569. 12 2
4. 6432
46. Seven hu n dred fifteen in sta n dard 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. Mou n t Baker erupted in 1792, which is in sta n dard d. 42 − 0 = 42 because 42 + 0 = 42.
form.
6. a. 9143 Check: 9021
60. Mou n t Shasta a n d Mou n t St. Helen s have each − 122 + 122
had two eruptio n s listed. 9021 9143
62. Mou n t St. Helen s has a n eruptio n listed in 1980. b. 978 Check: 127
All other eruptio n s listed in the table occurred before − 851 + 851
this o n e.
127 978
64. More Golden retrievers are registered tha n
Germa n shepherds. 8 17
7. a. 69 7 Check: 648
66. Fren ch bulldogs are seco n d in popularity. 24 is − 49 + 49
written as twen ty-four. 64 8 697
68. The maximum height of a n average-size sta n dard
2 12
dachsu n d is 9 in ches.
b. 326 Check: 81
70. The largest n umber is 77,753. − 245 + 245
81 326
72. Yes
2
