Developmental Mathematics Through
ST
Applications: Basic College Mathematics and
UV
Algebra – 1st Edition
SOLUTIONS
IA
_A
MANUAL
PP
RO
Geoffrey Akst
VE
Comprehensive Solutions Manual for
Instructors and Students
D?
© Geoffrey Akst
??
All rights reserved. Reproduction or distribution without permission is prohibited
©STUDYSTREAM
, CONTENTS
ST
Introduction .................................................................................. iv
UV
Mini-Lectures .............................................................................. 1
General, First Time Advice ......................................................... 87
Teaching Tips Correlated to
Textbook Sections ................................................................... 97
IA
List of Available Supplements ................................................... 158
Helpful Tips for Using Supplements and Technology ............. 160
_A
Useful Outside Resources for Teachers ..................................... 164
Additional Resources...................................................................167
Printable Test Forms and Answers...............................................T-1
PP
RO
VE
D?
??
Copyright © 2014 Pearson Education, Inc.
, Instructor’s Resource Manual Developmental Mathematics through Applications 1
Mini-Lecture 1.1
Introduction to Whole Numbers
ST
Objectives:
A Read and write whole numbers.
UV
B Write whole numbers in expanded form.
C Round whole numbers.
D Solve applied problems involving reading, writing, or rounding whole numbers.
Examples:
IA
1. Identify the place value of each digit in the numbers.
a) 3,654 b) 265,812 c) 56,203,411
_A
2. Write a word name for each number.
a) 325 b) 60,448 c) 9,542,006
3. Write a number for each word name.
a) two hundred fifty-three
PP
b) seven thousand, ninety-eight
c) three hundred forty million, one hundred thirty-two
4. What is wrong with the following:
RO
“three hundred and sixty-four”
5. When do we use a hyphen when writing whole numbers?
Teaching Notes:
VE
• Students who do not have English as their first language might need extra help learning the number period
vocabulary such as ones, thousands, millions, billions, etc. Refer them to the Place-value Chart in the
textbook.
• Some students who do not have English as their first language are accustomed to using periods instead of
commas as above.
•
D?
Many examples of tables are available on the Internet. Request students to obtain copies and ask them to
explain how to read the tables and write the numbers in words.
??
Answers: 1a) 3-thousands,6-hundreds,5-tens,4-ones, b) 2-hundred thousands,6-ten thousands,5-thousands,8-
hundreds,1-ten,2-ones, c) 5-ten millions,6-millions,2-hundred thousands,3-thousands,4-hundreds,1-tens,1-ones; 2a)
three hundred twenty-five, b) sixty thousand, four hundred forty-eight, c) nine million, five hundred forty-two
thousand, six; 3a) 253, b) 7,098, c) 340,000,132; 4) The word “and” is never used when writing whole numbers.; 5)
A hyphen is used when writing the numbers 21–99, except for numbers ending in zero.
Copyright © 2014 Pearson Education, Inc.
, 2 Instructor’s Resource Manual Developmental Mathematics through Applications
Mini-Lecture 1.2
Adding and Subtracting Whole Numbers
ST
Objectives:
A Add and subtract whole numbers.
UV
B Solve applied problems involving addition and subtraction of whole numbers.
Examples:
1. Add when carrying is not required.
IA
a) 53 b) 1123 c) 40,001
+ 12 + 345 32,442
+ 15,333
_A
2. Add with carrying required.
a) 96 b) 5678 c) 6505
+ 47 + 3574 173
7044
+ 168
PP
3. A plane is flying at an altitude of 5932 ft. It then increases its altitude by 7384 ft.
Find its new altitude.
4. Subtract when borrowing is not required.
a) 98 − 51
RO
b) 54 – 22 c) 664
− 51
5. Subtract with borrowing required.
a) 51 b) 1123 c) 40,001
− 12 − 345 − 15,333
VE
6. Earl has $729 in his checking account. After he writes a check to the
bookstore for $249, how much is remaining in his account?
Teaching Notes:
D?
• Some students need to practice basic addition and subtraction facts at home in order to master them.
• Some students need to write the carry digit in order to get the correct answer for addition with carrying.
• Many need to write the borrowing step in order to get the correct answer for subtraction with borrowing.
• Point out that the commutative property deals with the order of the addends, whereas the associative
property deals with the grouping (order does not change) of the addends.
•
??
Point out that the commutative and associative properties do not generally apply to subtraction problems.
Answers: 1a) 65, b) 1468, c) 87,776; 2a) 143, b) 9252, c) 13,890; 3) 13,316; 4a) 47, b) 32, c) 613; 5a) 39, b) 778,
c) 24,668; 6) $480
Copyright © 2014 Pearson Education, Inc.
ST
Applications: Basic College Mathematics and
UV
Algebra – 1st Edition
SOLUTIONS
IA
_A
MANUAL
PP
RO
Geoffrey Akst
VE
Comprehensive Solutions Manual for
Instructors and Students
D?
© Geoffrey Akst
??
All rights reserved. Reproduction or distribution without permission is prohibited
©STUDYSTREAM
, CONTENTS
ST
Introduction .................................................................................. iv
UV
Mini-Lectures .............................................................................. 1
General, First Time Advice ......................................................... 87
Teaching Tips Correlated to
Textbook Sections ................................................................... 97
IA
List of Available Supplements ................................................... 158
Helpful Tips for Using Supplements and Technology ............. 160
_A
Useful Outside Resources for Teachers ..................................... 164
Additional Resources...................................................................167
Printable Test Forms and Answers...............................................T-1
PP
RO
VE
D?
??
Copyright © 2014 Pearson Education, Inc.
, Instructor’s Resource Manual Developmental Mathematics through Applications 1
Mini-Lecture 1.1
Introduction to Whole Numbers
ST
Objectives:
A Read and write whole numbers.
UV
B Write whole numbers in expanded form.
C Round whole numbers.
D Solve applied problems involving reading, writing, or rounding whole numbers.
Examples:
IA
1. Identify the place value of each digit in the numbers.
a) 3,654 b) 265,812 c) 56,203,411
_A
2. Write a word name for each number.
a) 325 b) 60,448 c) 9,542,006
3. Write a number for each word name.
a) two hundred fifty-three
PP
b) seven thousand, ninety-eight
c) three hundred forty million, one hundred thirty-two
4. What is wrong with the following:
RO
“three hundred and sixty-four”
5. When do we use a hyphen when writing whole numbers?
Teaching Notes:
VE
• Students who do not have English as their first language might need extra help learning the number period
vocabulary such as ones, thousands, millions, billions, etc. Refer them to the Place-value Chart in the
textbook.
• Some students who do not have English as their first language are accustomed to using periods instead of
commas as above.
•
D?
Many examples of tables are available on the Internet. Request students to obtain copies and ask them to
explain how to read the tables and write the numbers in words.
??
Answers: 1a) 3-thousands,6-hundreds,5-tens,4-ones, b) 2-hundred thousands,6-ten thousands,5-thousands,8-
hundreds,1-ten,2-ones, c) 5-ten millions,6-millions,2-hundred thousands,3-thousands,4-hundreds,1-tens,1-ones; 2a)
three hundred twenty-five, b) sixty thousand, four hundred forty-eight, c) nine million, five hundred forty-two
thousand, six; 3a) 253, b) 7,098, c) 340,000,132; 4) The word “and” is never used when writing whole numbers.; 5)
A hyphen is used when writing the numbers 21–99, except for numbers ending in zero.
Copyright © 2014 Pearson Education, Inc.
, 2 Instructor’s Resource Manual Developmental Mathematics through Applications
Mini-Lecture 1.2
Adding and Subtracting Whole Numbers
ST
Objectives:
A Add and subtract whole numbers.
UV
B Solve applied problems involving addition and subtraction of whole numbers.
Examples:
1. Add when carrying is not required.
IA
a) 53 b) 1123 c) 40,001
+ 12 + 345 32,442
+ 15,333
_A
2. Add with carrying required.
a) 96 b) 5678 c) 6505
+ 47 + 3574 173
7044
+ 168
PP
3. A plane is flying at an altitude of 5932 ft. It then increases its altitude by 7384 ft.
Find its new altitude.
4. Subtract when borrowing is not required.
a) 98 − 51
RO
b) 54 – 22 c) 664
− 51
5. Subtract with borrowing required.
a) 51 b) 1123 c) 40,001
− 12 − 345 − 15,333
VE
6. Earl has $729 in his checking account. After he writes a check to the
bookstore for $249, how much is remaining in his account?
Teaching Notes:
D?
• Some students need to practice basic addition and subtraction facts at home in order to master them.
• Some students need to write the carry digit in order to get the correct answer for addition with carrying.
• Many need to write the borrowing step in order to get the correct answer for subtraction with borrowing.
• Point out that the commutative property deals with the order of the addends, whereas the associative
property deals with the grouping (order does not change) of the addends.
•
??
Point out that the commutative and associative properties do not generally apply to subtraction problems.
Answers: 1a) 65, b) 1468, c) 87,776; 2a) 143, b) 9252, c) 13,890; 3) 13,316; 4a) 47, b) 32, c) 613; 5a) 39, b) 778,
c) 24,668; 6) $480
Copyright © 2014 Pearson Education, Inc.
