THINKING MATHEMATICALLY7th EditionBlitzer Publisher: PEARSONISBN: 9780135961841
THINKING MATHEMATICALLY
Solutions for THINKING MATHEMATICALLY
Problem 1CP:
CHECK POINT 1 Find a counterexample to show that the statement The product of two two-digit numbers...Problem 2CP:
CHECK POINT 2 Identify a pattern in each list of numbers. Then use this pattern to find the next...Problem 3CP:
CHECK POINT 3 Identify a pattern in each list of numbers. Then use this pattern to find the next...Problem 4CP:
CHECK POINT 4 Describe two patterns in this sequence of figures. Use the patterns to draw the next...Problem 5CP:
CHECK POINT 5 Consider the following procedure: Select a number. Multiply the number by 4. Add 6 to...Problem 1CVC:
The statement 3 + 3 = 6 serves as a/an ________ to the conjecture that the sum of two odd numbers is...Problem 2CVC:
Arriving at a specific conclusion from one or more general statements is called ____ reasoning.Problem 3CVC:
Arriving at a general conclusion based on observations of specific examples is called _____...Problem 1E:
In Exercises 1-8, find a counterexample to show that each of the statements is false. No U.S....Problem 2E:
In Exercises 1-8, find a counterexample to show that each of the statements is false. No singers...Problem 3E:
In Exercises 1-8, find a counterexample to show that each of the statements is false. If a number is...Problem 4E:
In Exercises 1-8, find a counterexample to show that each of the statements is false. The sum of two...Problem 5E:
In Exercises 1-8, find a counterexample to show that each of the statements is false.
5. Adding the...Problem 6E:
In Exercises 1-8, find a counterexample to show that each of the statements is false. If the...Problem 7E:
In Exercises 1-8, find a counterexample to show that each of the statements is false.
7. If a number...Problem 8E:
In Exercises 1-8, find a counterexample to show that each of the statements is false. If 1 is...Problem 9E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 10E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 11E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 12E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 13E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 14E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 15E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 16E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 17E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 18E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 19E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 20E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 21E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 22E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 23E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 24E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 25E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 26E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 27E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 28E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 29E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 30E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 31E:
In Exercises 9-38, Identify a pattern in each list of numbers. Then use this pattern to find the...Problem 32E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 33E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 34E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 35E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 36E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 37E:
In Exercises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the...Problem 38E:
In Excises 9-38, identify a pattern in each list of numbers. Then use this pattern to find the next...Problem 39E:
In Exercises 39-42, identify a pattern in each sequence of figures. Then use the pattern to find the...Problem 40E:
In Exercises 39-42, identify a pattern in each sequence of figures. Then use the pattern to find the...Problem 41E:
In Exercises 39-42, identify a pattern in each sequence of figures. Then use the pattern to find the...Problem 42E:
In Exercises 39-42, identify a pattern in each sequence of figures. Then use the pattern to find the...Problem 43E:
Select a number. Multiply the number by 4. Add 8 to the product. Divide this sum by 2. Subtract 4...Problem 47E:
In Exercises 47-52, use inductive reasoning to predict the next line in each sequence of...Problem 48E:
In Exercises 47-52, use inductive reasoning to predict the next line in each sequence of...Problem 49E:
In Exercises 47-52, use inductive reasoning to predict the next line in each sequence of...Problem 50E:
In Exercises 47-52, use inductive reasoning to predict the next line in each sequence of...Problem 51E:
In Exercises 47-52, use inductive reasoning to predict the next line in each sequence of...Problem 52E:
In Exercises 47-52, use inductive reasoning to predict the next line in each sequence of...Problem 53E:
In Exercises 53-54, use inductive reasoning to predict the next line in each sequence of...Problem 54E:
In Exercises 53-54, use inductive reasoning to predict the next line in each sequence of...Problem 55E:
Study the pattern in these examples: a 3 # a 4 = a 10 a 3 # a 2 = a 7 a 5 # a 3 = a 11...Problem 56E:
Study the pattern in these examples: a 5 * a 3 * a 2 = a 5 a 3 * a 7 * a 2 = a 6 a 2...Problem 57E:
In Exercises 57-60, identify the reasoning process, induction or deduction, in each example. Explain...Problem 58E:
In Exercises 57-60, identify the reasoning process, induction or deduction, in each example. Explain...Problem 60E:
In Exercises 57-60, identify the reasoning process, induction or deduction, in each example. Explain...Problem 61E:
The ancient Greeks studies figurate numbers, so named because of their representations as geometric...Problem 62E:
The triangular arrangement of numbers shown below is known as Pascal’s triangle, credited to French...Problem 63E:
Writing about mathematics will help you to learn mathematics. For all writing exercises in this...Problem 65E:
Give an example of a decision that you made recently in which the method of reasoning you used to...Problem 66E:
Make Sense? In Exercises 66-69, determine whether each statement makes sense or does not make sense,...Problem 67E:
Make sense? In Exercises 66-69, determine whether each statement makes sense or does not make sense,...Problem 68E:
I used the data shown in the bar graph, which summarizes a random sample of 752 college seniors, to...Problem 69E:
I used the data shown in the bar graph for Exercise 68, which summarizes a random sample of 752...Problem 70E:
If ( 6 − 2 ) 2 = 36 − 24 + 4 and ( 8 − 5 ) 2 = 64 − 80 + 25 , use inductive reasoning to write a...Problem 71E:
71. The rectangle shows an array of nine numbers represented by combinations of the variables a, b,...Problem 72E:
Write a list of numbers that has two patterns so that the next number in the list can be 15 or 20.Problem 73E:
a. Repeat the following procedure with at least five people. Write a conjecture that relates the...Problem 74E:
a. Use a calculator to find 6 × 6 , 66 × 66 , 666 × 666 , and 6666 × 6666 . b. Describe a pattern in...Browse All Chapters of This Textbook
Chapter 1 - Problem Solving And Critical ThinkingChapter 1.1 - Inductive And Deductive ReasoningChapter 1.2 - Estimation, Graphs, And Mathemetical ModelsChapter 1.3 - Problem SolvingChapter 2 - Set TheoryChapter 2.1 - Basic Set ConceptsChapter 2.2 - SubsetsChapter 2.3 - Venn Diagrams And Set OperationsChapter 2.4 - Set Operations And Venn Diagrams With Three SetsChapter 2.5 - Survey Problems
Chapter 3 - LogicChapter 3.1 - Statements, Negations, And Quantified StatementsChapter 3.2 - Compound Statements And ConnectivesChapter 3.3 - Truth Tables For Negation, Conjunction, And DisjunctionChapter 3.4 - Truth Tables For The Conditional And The BiconditionalChapter 3.5 - Equivalent Statements And Variations Of Conditional StatementsChapter 3.6 - Negations Of Conditional Statements And De Morgan's LawsChapter 3.7 - Arguments And Truth TablesChapter 3.8 - Arguments And Euler DiagramsChapter 4 - Number Representation And CalculationChapter 4.1 - Our Hindu-Arabic System And Early Positional SystemsChapter 4.2 - Number Bases In Positional SystemsChapter 4.3 - Computation In Positional SystemsChapter 4.4 - Looking Back At Early Numeration SystemsChapter 5 - Number Theory And The Real Number SystemChapter 5.1 - Number Theory: Prime And Composite NumbersChapter 5.2 - The Integers; Order Of OperationsChapter 5.3 - The Rational NumbersChapter 5.4 - The Irrational NumbersChapter 5.5 - Real Numbers And Their Properties; Clock AdditionChapter 5.6 - Exponents And Scientific NotationChapter 5.7 - Arithmetic And Geometric SequencesChapter 6 - Algebra: Equations And InequalitiesChapter 6.1 - Algebraic Expressions And FormulasChapter 6.2 - Linear Equations In One Variable And ProportionsChapter 6.3 - Applications Of Linear EquationsChapter 6.4 - Linear Inequalities In One VariableChapter 6.5 - Quadratic EquationsChapter 7 - Algebra: Graphs, Functions, And Linear SystemsChapter 7.1 - Graphing And FunctionsChapter 7.2 - Linear Functions And Their GraphsChapter 7.3 - Systems Of Linear Equations In Two VariablesChapter 7.4 - Linear Inequalities In Two VariablesChapter 7.5 - Linear ProgrammingChapter 7.6 - Modeling Data: Exponential, Logarithmic, And Quadratic FunctionsChapter 8 - Personal FinanceChapter 8.1 - Percent, Sales Tax, And DiscountsChapter 8.2 - Income TaxChapter 8.3 - Simple InterestChapter 8.4 - Compound InterestChapter 8.5 - Annuities, Methods Of Saving, And InvestmentsChapter 8.6 - CarsChapter 8.7 - The Cost Of Home OwnershipChapter 8.8 - Credit CardsChapter 9 - MeasurementChapter 9.1 - Measuring Length; The Metric SystemChapter 9.2 - Measuring Area And VolumeChapter 9.3 - Measuring Weight And TemperatureChapter 10 - GeometryChapter 10.1 - Points, Lines, Planes, And AnglesChapter 10.2 - TrianglesChapter 10.3 - Polygons, Perimeter, And TessellationsChapter 10.4 - Area And CircumferenceChapter 10.5 - Volume And Surface AreaChapter 10.6 - Right Triangle TrigonometryChapter 10.7 - Beyond Euclidean GeometryChapter 11 - Counting Methods And Probability TheoryChapter 11.1 - The Fundamental Counting PrincipleChapter 11.2 - PermutationsChapter 11.3 - CombinationsChapter 11.4 - Fundamentals Of ProbabilityChapter 11.5 - Probability With The Fundamental Counting Principle, Permutations, And CombinationsChapter 11.6 - Events Involving Not And Or; OddsChapter 11.7 - Events Involving And; Conditional ProbabilityChapter 11.8 - Expected ValueChapter 12 - StatisticsChapter 12.1 - Sampling, Frequency Distributions, And GraphsChapter 12.2 - Measures Of Central TendencyChapter 12.3 - Measures Of DispersionChapter 12.4 - The Normal DistributionChapter 12.5 - Problem Solving With The Normal DistributionChapter 12.6 - Scatter Plots, Correlation, And Regression LinesChapter 13 - Voting And ApportionmentChapter 13.1 - Voting MethodsChapter 13.2 - Flaws Of Voting MethodsChapter 13.3 - Apportionment MethodsChapter 13.4 - Flaws Of Apportionment MethodsChapter 14 - Graph TheoryChapter 14.1 - Graphs, Paths, And CircuitsChapter 14.2 - Euler Paths And Euler CircuitsChapter 14.3 - Hamilton Paths And Hamilton CircuitsChapter 14.4 - Trees
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