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Solutions Manual for Developmental Mathematics 4th Edition by Elayn Martin-Gay, All Chapters 1-16

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The Whole Numbers 1.1 Study Skills Tips for Success in Mathematics 1.2 Place Value, Names, and Reading Tables 1.3 Adding Whole Numbers and Perimeter 1.4 Subtracting Whole Numbers 1.5 Rounding and Estimating 1.6 Multiplying Whole Numbers and Area 1.7 Dividing Whole Numbers Integrated Review - Operations on Whole Numbers 1.8 An Introduction to Problem Solving 1.9 Exponents, Square Roots, and Order of Operations Multiplying and Dividing Fractions 2.1 Introduction to Fractions and Mixed Numbers 2.2 Factors and Prime Factorization 2.3 Simplest Form of a Fraction Integrated Review - Summary on Fractions, Mixed Numbers, and Factors 2.4 Multiplying Fractions and Mixed Numbers 2.5 Dividing Fractions and Mixed Numbers Adding and Subtracting Fractions 3.1 Adding and Subtracting Like Fractions 3.2 Least Common Multiple 3.3 Adding and Subtracting Unlike Fractions Integrated Review - Operations on Fractions and Mixed Numbers 3.4 Adding and Subtracting Mixed Numbers 3.5 Order, Exponents, and the Order of Operations 3.6 Fractions and Problem Solving Decimals 4.1 Introduction to Decimals 4.2 Order and Rounding 4.3 Adding and Subtracting Decimals 4.4 Multiplying Decimals and Circumference of a Circle Integrated Review - Operations on Decimals 4.5 Dividing Decimals and Order of Operations 4.6 Fractions and Decimals Ratio, Proportion, and Percent 5.1 Ratio and Proportion 5.2 Introduction to Percent 5.3 Percents and Fractions 5.4 Solving Percent Problems Using Equations 5.5 Solving Percent Problems Using Proportions Integrated Review - Ratio, Proportion, and Percent 5.6 Applications of Percent 5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount 5.8 Percent and Problem Solving: Interest Geometry 6.1 Lines and Angles 6.2 Plane Figures and Solid 6.3 Perimeter 6.4 Area 6.5 Volume 6.6 Square roots and the Pythagorean Theorem 6.7 Congruent and Similar Triangles Reading Graphs and Introductions to Statistics and Probability 7.1 Pictographs, Bar Graphs, Histograms, and Line Graphs 7.2 Circle Graphs Integrated Review - Reading Graphs 7.3 Mean, Median, Mode, and Range 7.4 Counting and Introduction to Probability Real Numbers and Introductions to Algebra 8.1 Symbols and Sets of Numbers 8.2 Exponents, Order of Operations, and Variable Expressions 8.3 Adding Real Numbers 8.4 Subtracting Real Numbers Integrated Review - Operations on Real Numbers 8.5 Multiplying and Dividing Real Numbers 8.6 Properties of Real Numbers 8.7 Simplifying Expressions Equations, Inequalities, and Problem Solving 9.1 The Addition Property of Equality 9.2 The Multiplication Property of Equality 9.3 Further Solving Linear Equations Integrated Review - Solving Linear Equations 9.4 Further Problem Solving 9.5 Formulas and Problem Solving 9.6 Percent and Mixture Problem Solving 9.7 Linear Inequalities and Problem Solving Graphing Equations and Inequalities 10.1 The Rectangular Coordinate System 10.2 Graphing Linear Equations 10.4 Slope and Rate of Change 10.5 Equations of Lines Integrated Review - Summary on Linear Equations 10.6 Introduction to Functions 10.7 Graphing Linear Inequalities in Two Variables 10.8 Direct and Inverse Variation Systems of Equations 11.1 Solving Systems of Linear Equations by Graphing 11.2 Solving Systems of Linear Equations by Substitution 11.3 Solving Systems of Linear Equations by Addition Integrated Review - Summary on Solving Systems of Equations 11.4 Systems of Linear Equations and Problem Solving Exponents and Polynomials 12.1 Exponents 12.2 Negative Exponents and Scientific Notation 12.3 Introduction to Polynomials 12.4 Adding and Subtracting Polynomials 12.5 Multiplying Polynomials 12.6 Special Products Integrated Review - Exponents and Operations on Polynomials 12.7 Dividing Polynomials Factoring Polynomials 13.1 The Greatest Common Factor and Factoring by Grouping 13.2 Factoring Trinomials of the Form x2 + bx + c 13.3 Factoring Trinomials of the Form ax2 +bx + c 13.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 13.5 Factoring Perfect Square Trinomials and the Difference of Two Squares Integrated Review-Choosing a Factoring Strategy 13.6 Solving Quadratic Equations by Factoring 13.7 Quadratic Equations and Problem Solving Rational Expressions 14.1 Simplifying Rational Expressions 14.2 Multiplying and Dividing Rational Expressions 14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 14.4 Adding and Subtracting Rational Expressions with Different Denominators 14.5 Solving Equations Containing Rational Expressions Integrated Review-Summary on Rational Expressions 14.6 Rational Equations and Problem Solving 14.7 Simplifying Complex Fractions Roots and Radicals 15.1 Introduction to Radicals 15.2 Simplifying Radicals 15.3 Adding and Subtracting Radicals 15.4 Multiplying and Dividing Radicals Integrated Review - Simplifying Radicals 15.5 Solving Equations Containing Radicals 15.6 Radical Equations and Problem Solving Quadratic Equations and Nonlinear Graphs 16.1 Solving Quadratic Equations by the Square Root Property 16.2 Solving Quadratic Equations by Completing the Square 16.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review - Summary on Solving Quadratic Equations 16.4 Graphing Quadratic Equations in Two Variables 16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions

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Developmental Mathematics – 4th Edition
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SOLUTIONS
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MANUAL
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Elayn Martin-Gay
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Comprehensive Solutions Manual for
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Instructors and Students
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© Elayn Martin-Gay

All rights reserved. Reproduction or distribution without permission is prohibited.
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©STUDYSTREAM

, Chapter 1
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Section 1.2 Practice Exercises 4. The number 900 + 60 + 5 is written in expanded
form.
1. The place value of the 8 in 38,760,005 is
millions. 5. In a whole number, each group of 3 digits is
called a period.
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2. The place value of the 8 in 67,890 is hundreds.
6. The place value of the digit 4 in the whole
3. The place value of the 8 in 481,922 is ten- number 264 is ones.
thousands.
7. hundreds
4. 67 is written as sixty-seven.
8. To read (or write) a number, read from left to
right.
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5. 395 is written as three hundred ninety-five.

6. 12,804 is written as twelve thousand, eight 9. 80,000
hundred four.
10. Boott Spur
7. 321,670,200 is written as three hundred twenty-
_A
Exercise Set 1.2
one million, six hundred seventy thousand, two
hundred. 2. The place value of the 5 in 905 is ones.
8. Twenty-nine in standard form is 29. 4. The place value of the 5 in 6527 is hundreds.
9. Seven hundred ten in standard form is 710. 6. The place value of the 5 in 79,050,000 is ten-
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thousands.
10. Twenty-six thousand, seventy-one in standard
form is 26,071. 8. The place value of the 5 in 51,682,700 is ten-
millions.
11. Six million, five hundred seven in standard form
is 6,000,507. 10. 316 is written as three hundred sixteen.
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12. 1,047,608 12. 5445 is written as five thousand, four hundred
= 1,000,000 + 40,000 + 7000 + 600 + 8 forty-five.

13. a. Find “France” in the left column. Then read 14. 42,009 is written as forty-two thousand, nine.
from left to right until the “Literature”
column is reached. We find that 11 16. 3,204,000 is written as three million, two
hundred four thousand.
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Literature Nobel Prize winners were born in
France. 18. 47,033,107 is written as forty-seven million,
thirty-three thousand, one hundred seven.
b. Look at the “Total” column. Three countries
have more than 60 Nobel Prize winners. The 20. 22,806 is written as twenty-two thousand, eight
United States has 259, the United Kingdom hundred six.
has 99, and Germany has 77.
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22. 118,049 is written as one hundred eighteen
Vocabulary, Readiness & Vocabulary Check 1.2 thousand, forty-nine.
1. The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 24. 347,219 is written as three hundred forty-seven
12, ... are called whole numbers. thousand, two hundred nineteen.
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2. The number 1,286 is written in standard form. 26. 11,239 is written as eleven thousand, two
hundred thirty-nine.
3. The number “twenty-one” is written in words.
28. 202,700 is written as two hundred two thousand,
seven hundred.
Copyright © 2020 Pearson Education, Inc. 1

, Chapter 1: The Whole Numbers ISM: Developmental Mathematics


30. Four thousand, four hundred sixty-eight in 70. The largest number is 77,753.
standard form is 4468.
ST
72. Yes
32. Seventy-three thousand, two in standard form is
73,002. 74. answers may vary

34. Sixteen million, four hundred five thousand, 76. 5 trillion in the American system is written as
sixteen in standard form is 16,405,016. 5,000,000,000,000 in standard form.
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36. Two million, twelve in standard form is Section 1.3 Practice Exercises
2,000,012.
1. 7235
38. Six hundred forty thousand, eight hundred + 542
eighty-one in standard form is 640,881. 7777
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40. Two hundred thirty-four thousand in standard 11 11
form is 234,000. 2. 27,364
+ 92,977
42. Two thousand eighty in standard form is 2080. 120,341
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44. Ninety-one million, seventy-one thousand 3. 11 + 7 + 8 + 9 + 13
dollars in standard form is $91,071,000.

46. Two thousand, five hundred forty-four in
standard form is 2544. 20 + 8 + 20

48. 789 = 700 + 80 + 9
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48
50. 6040 = 6000 + 40
11 2
52. 20,215 = 20,000 + 200 + 10 + 5 4. 19
5042
54. 99,032 = 90,000 + 9000 + 30 + 2 638
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+ 526
56. 47,703,029 = 40,000,000 + 7,000,000 + 700,000 6225
+ 3000 + 20 + 9
5. 2 cm + 8 cm + 15 cm + 5 cm = 30 cm
58. The elevation of Mt. Washington in standard The perimeter is 30 centimeters.
form is 6288. 6288 is written as six thousand,
two hundred eighty-eight. 6. 647 + 647 + 647 = 1941
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The perimeter is 1941 feet.
60. 5712 = 5000 + 700 + 10 + 2
7. 70
62. The second tallest mountain in New England is + 50
Mt. Adams.
120
64. The British Museum in London had more Georgia produces 120 million pounds of
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visitors than the Shanghai Science and freestone peaches.
Technology Museum in Shanghai.
8. a. The country with the fewest threatened
66. The number of visitors to the Louvre was mammal species corresponds to the shortest
8,700,000 which is written as eight million, bar, which is Malaysia.
seven hundred thousand.
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b. To find the total number of threatened
68. Three of the museums listed were visited by mammal species for Brazil, India, and
fewer than 6,000,000 people. Mexico, we add.



2 Copyright © 2020 Pearson Education, Inc.

, ISM: Developmental Mathematics Chapter 1: The Whole Numbers


82 8. triangle; 3
92
ST
+ 95 9. increased by
269 Exercise Set 1.3
The total number of threatened mammal
species for Brazil, India, and Mexico is 269. 2. 27
+ 31
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Calculator Explorations 58
1. 89 + 45 = 134 4. 37
+ 542
2. 76 + 91 = 173 579
3. 285 + 55 = 340
6. 23
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45
4. 8773 + 652 = 9425 + 30
98
5. 985
1210
8. 236
562 + 6243
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+ 77
6479
2834
1
6. 465 10. 41
9888 + 74
620 115
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+ 1550
12,523 1
12. 35
Vocabulary, Readiness & Video Check 1.3 + 470
505
1. The sum of 0 and any number is the same
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1
number.
14. 17, 427
+ 821, 059
2. The sum of any number and 0 is the same
838, 486
number.

3. In 35 + 20 = 55, the number 55 is called the sum 2
16. 3
and 35 and 20 are each called an addend. 5
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8
4. The distance around a polygon is called its 5
perimeter. +7
28
5. Since (3 + 1) + 20 = 3 + (1 + 20), we say that
changing the grouping in addition does not 2
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change the sum. This property is called the 18. 12
associative property of addition. 4
8
6. Since 7 + 10 = 10 + 7, we say that changing the 26
order in addition does not change the sum. This + 10
property is called the commutative property of 60
addition.
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7. To add whole numbers, we line up place values
and add from left to right.


Copyright © 2020 Pearson Education, Inc. 3

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