Preface 

ix  
Index of Applications 

xviii  


1  (100) 


2  (1) 

Tips for Success in Mathematics 


3  (6) 

Place Value and Names for Numbers 


9  (8) 


17  (10) 

Subtracting Whole Numbers 


27  (12) 


39  (8) 

Multiplying Whole Numbers 


47  (10) 


57  (14) 

Integrated ReviewOperations on Whole Numbers 


69  (2) 

An Introduction to Problem Solving 


71  (10) 

Exponents and Order of Operations 


81  (20) 

Activity: Investigating Endangered and Threatened Species 


88  (1) 


89  (1) 


89  (4) 


93  (6) 


99  (2) 

Multiplying and Dividing Fractions 


101  (60) 


102  (1) 

Introduction to Fractions and Mixed Numbers 


103  (12) 

Factors and Prime Factorization 


115  (6) 

Simplest Form of a Fraction 


121  (10) 

Integrated ReviewSummary on Fractions, Mixed Numbers, and Factors 


129  (2) 


131  (10) 


141  (20) 

Activity: Comparing Fractions 


148  (1) 


149  (1) 


149  (4) 


153  (4) 


157  (2) 


159  (2) 

Adding and Subtracting Fractions 


161  (64) 


162  (1) 

Adding and Subtracting Like Fraction 


163  (8) 


171  (6) 

Adding and Subtracting Unlike Fractions 


177  (10) 

Integrated ReviewOperations on Fractions 


185  (2) 

Adding and Subtracting Mixed Numbers 


187  (10) 

Order, Exponents, and the Order of Operations 


197  (6) 

Fractions and Problem Solving 


203  (22) 

Activity: Using Fractions 


212  (1) 


213  (1) 


213  (4) 


217  (4) 


221  (2) 


223  (2) 


225  (70) 


226  (1) 


227  (6) 


233  (8) 

Adding and Subtracting Decimals 


241  (8) 


249  (8) 


257  (10) 

Integrated ReviewOperation on Decimals 


265  (2) 

Estimating and Order of Operations 


267  (8) 


275  (20) 

Activity: Maintaining a Checking Account 


282  (1) 


283  (1) 


283  (4) 


287  (4) 


291  (2) 


293  (2) 


295  (40) 


296  (1) 


297  (6) 


303  (8) 

Integrated ReviewRatio and Rate 


309  (2) 


311  (6) 

Proportions and Problem Solving 


317  (18) 

Activity: Investigating Scale Drawings 


324  (1) 


325  (1) 


325  (2) 


327  (4) 


331  (2) 


333  (2) 


335  (68) 


336  (1) 


337  (8) 


345  (8) 

Solving Percent Problems Using Equations 


353  (6) 

Solving Percent Problems Using Proportions 


359  (8) 

Integrated ReviewPercent and Percent Problems 


365  (2) 


367  (8) 

Percent and Problem Solving: Sales Tax, Commission, and Discount 


375  (8) 

Percent and Problem Solving: Interest 


383  (20) 

Activity: Compound Interest Table 


390  (1) 


391  (1) 


391  (4) 


395  (4) 


399  (2) 


401  (2) 


403  (64) 


404  (1) 

Length: U.S. and Metric Systems of Measurement 


405  (14) 

Weight and Mass: U.S. and Metric Systems of Measurement 


419  (12) 

Capacity: U.S. and Metric Systems of Measurement 


431  (12) 

Integrated ReviewLength, Weight, and Capacity 


441  (2) 

Temperature: U.S. and Metric Systems of Measurement 


443  (6) 

Energy: U.S. and Metric Systems of Measurement 


449  (18) 


453  (2) 


455  (1) 


455  (4) 


459  (4) 


463  (2) 


465  (2) 


467  (82) 


468  (1) 


469  (10) 


479  (8) 


487  (10) 


497  (10) 


507  (10) 

Integrated ReviewGeometry Concepts 


515  (2) 

Square Roots and the Pythagorean Theorem 


517  (8) 

Congruent and Similar Triangles 


525  (24) 

Activity: Finding Patterns 


532  (1) 


533  (1) 


533  (6) 


539  (6) 


545  (2) 


547  (2) 

Statistics and Probability 


549  (60) 


550  (1) 

Reading Pictographs, Bar Graphs, and Line Graphs 


551  (12) 


563  (8) 


571  (8) 

Integrated ReviewReading Graphs 


577  (2) 


579  (6) 

Counting and Introduction to Probability 


585  (24) 

Activity: Investigating Probability 


592  (1) 


593  (1) 


593  (4) 


597  (6) 


603  (4) 


607  (2) 


609  (52) 


610  (1) 


611  (6) 


617  (8) 

Subtracting Signed Numbers 


625  (10) 

Integrated Reviewsigned Numbers 


633  (2) 

Multiplying and Dividing Signed Numbers 


635  (8) 


643  (18) 

Activity: Investigating Positive and Negative Numbers 


649  (2) 


651  (1) 


651  (2) 


653  (4) 


657  (2) 


659  (2) 


661  (54) 


662  (1) 

Introduction to Variables 


663  (10) 

Solving Equations: The Addition Property 


673  (6) 

Solving Equations: The Multiplication Property 


679  (8) 

Integrated ReviewExpressions and Equations 


685  (2) 

Solving Equations Using Addition and Multiplication Properties 


687  (8) 

Equations and Problem Solving 


695  (20) 

Activity: Analyzing Options 


702  (1) 


703  (1) 


703  (4) 


707  (4) 


711  (2) 


713  (2) 
Appendix A Addition Table and One Hundred Addition Facts 

715  (2) 
Appendix B Multiplication Table and One Hundred Multiplication Facts 

717  (2) 
Appendix C Review of Geometric Figures 

719  (2) 
Appendix D Table of Percents, Decimals, and Fraction Equivalents 

721  (1) 
Appendix E Table of Squares and Square Roots 

722  (1) 
Appendix F Compound Interest Table 

723  
Answers to Selected Exercises 

1  (24) 
Solutions to Selected Exercises 

25  
Index 

1  (7) 
Photo Credits 

8  