Basic Math and Pre Algebra For Dummies 2nd Edition by Mark Zegarelli 1118791991 9781118791998

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ISBN 10: 1118791991 

ISBN 13: 9781118791998

Author: Mark Zegarelli

Whether you’re a student preparing to take algebra or a parent who wants or needs to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals, and percents, you’ll build necessary math skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations.

Basic Math and Pre Algebra For Dummies 2nd Table of contents:

Part I: Getting Started with Basic Math and Pre-Algebra
Chapter 1: Arming Yourself with the Basics of Basic Math
Inventing Numbers
Understanding Number Sequences
Evening the odds
Counting by threes, fours, fives, and so on
Getting square with square numbers
Composing yourself with composite numbers
Stepping out of the box with prime numbers
Multiplying quickly with exponents
Looking at the Number Line
Adding and subtracting on the number line
Getting a handle on nothing, or zero
Taking a negative turn: Negative numbers
Multiplying the possibilities
Dividing things up
Discovering the space in between: Fractions
Four Important Sets of Numbers
Counting on the counting numbers
Introducing integers
Staying rational
Getting real

Chapter 2: Arming Yourself with the Basics of Basic Math
Knowing Your Place Value
Counting to ten and beyond
Telling placeholders from leading zeros
Reading long numbers
Close Enough for Rock ’n’ Roll: Rounding and Estimating
Rounding numbers
Estimating value to make problems easier

Chapter 3: Arming Yourself with the Basics of Basic Math
Adding Things Up
In line: Adding larger numbers in columns
Carry on: Dealing with two-digit answers
Take It Away: Subtracting
Columns and stacks: Subtracting larger numbers
Can you spare a ten? Borrowing to subtract
Multiplying
Signs of the times
Memorizing the multiplication table
Double digits: Multiplying larger numbers
Doing Division Lickety-Split
Making short work of long division
Getting leftovers: Division with a remainder

Part II: Getting a Handle on Whole Numbers
Chapter 4: Getting a Handle on Whole Numbers
Knowing Properties of the Big Four Operations
Inverse operations
Commutative operations
Associative operations
Distribution to lighten the load
Doing Big Four Operations with Negative Numbers
Addition and subtraction with negative numbers
Multiplication and division with negative numbers
Understanding Units
Adding and subtracting units
Multiplying and dividing units
Understanding Inequalities
Doesn’t equal (≠)
Less than ()
Less than or equal to (≤) and greater than or equal to (≥)
Approximately equals (≈)
Moving Beyond the Big Four: Exponents, Square Roots, and Absolute Value
Understanding exponents
Discovering your roots
Figuring out absolute value

Chapter 5: Getting a Handle on Whole Numbers
Seeking Equality for All: Equations
Hey, it’s just an expression
Evaluating the situation
Putting the Three E’s together
Introducing Order of Operations
Applying order of operations to Big Four expressions
Using order of operations in expressions with exponents
Understanding order of precedence in expressions with parentheses

Chapter 6: Getting a Handle on Whole Numbers
Dispelling Two Myths about Word Problems
Word problems aren’t always hard
Word problems are useful
Solving Basic Word Problems
Turning word problems into word equations
Plugging in numbers for words
Solving More-Complex Word Problems
When numbers get serious
Too much information
Putting it all together

Chapter 7: Getting a Handle on Whole Numbers
Knowing the Divisibility Tricks
Counting everyone in: Numbers you can divide everything by
In the end: Looking at the final digits
Add it up: Checking divisibility by adding up digits
Ups and downs: Divisibility by 11
Identifying Prime and Composite Numbers

Chapter 8: Getting a Handle on Whole Numbers
Knowing Six Ways to Say the Same Thing
Connecting Factors and Multiples
Finding Fabulous Factors
Deciding when one number is a factor of another
Understanding factor pairs
Generating a number’s factors
Identifying prime factors
Finding the greatest common factor (GCF)
Making Marvelous Multiples
Generating multiples
Finding the least common multiple (LCM)

Part III: Parts of the Whole: Fractions, Decimals, and Percents
Chapter 9: Fooling with Fractions
Slicing a Cake into Fractions
Knowing the Fraction Facts of Life
Telling the numerator from the denominator
Flipping for reciprocals
Using ones and zeros
Mixing things up
Knowing proper from improper
Increasing and Reducing Terms of Fractions
Increasing the terms of fractions
Reducing fractions to lowest terms
Converting between Improper Fractions and Mixed Numbers
Knowing the parts of a mixed number
Converting a mixed number to an improper fraction
Converting an improper fraction to a mixed number
Understanding Cross-multiplication
Making Sense of Ratios and Proportions

Chapter 10: Parting Ways: Fractions and the Big Four Operations
Multiplying and Dividing Fractions
Multiplying numerators and denominators straight across
Doing a flip to divide fractions
All Together Now: Adding Fractions
Finding the sum of fractions with the same denominator
Adding fractions with different denominators
Taking It Away: Subtracting Fractions
Subtracting fractions with the same denominator
Subtracting fractions with different denominators
Working Properly with Mixed Numbers
Multiplying and dividing mixed numbers
Adding and subtracting mixed numbers

Chapter 11: Dallying with Decimals
Understanding Basic Decimal Stuff
Counting dollars and decimals
Identifying the place value of decimals
Knowing the decimal facts of life
Performing the Big Four with Decimals
Adding decimals
Subtracting decimals
Multiplying decimals
Dividing decimals
Converting between Decimals and Fractions
Making simple conversions
Changing decimals to fractions
Changing fractions to decimals

Chapter 12: Playing with Percents
Making Sense of Percents
Dealing with Percents Greater than 100%
Converting to and from Percents, Decimals, and Fractions
Going from percents to decimals
Changing decimals into percents
Switching from percents to fractions
Turning fractions into percents
Solving Percent Problems
Figuring out simple percent problems
Turning the problem around
Deciphering more-difficult percent problems
Putting All the Percent Problems Together
Identifying the three types of percent problems
Solving percent problems with equations

Chapter 13: Word Problems with Fractions, Decimals, and Percents
Adding and Subtracting Parts of the Whole in Word Problems
Sharing a pizza: Fractions
Buying by the pound: Decimals
Splitting the vote: Percents
Problems about Multiplying Fractions
Renegade grocery shopping: Buying less than they tell you to
Easy as pie: Working out what’s left on your plate
Multiplying Decimals and Percents in Word Problems
To the end: Figuring out how much money is left
Finding out how much you started with
Handling Percent Increases and Decreases in Word Problems
Raking in the dough: Finding salary increases
Earning interest on top of interest
Getting a deal: Calculating discounts

Part IV: Picturing and Measuring — Graphs, Measures, Stats, and Sets
Chapter 14: A Perfect Ten: Condensing Numbers with Scientific Notation
First Things First: Using Powers of Ten as Exponents
Counting zeros and writing exponents
Adding exponents to multiply
Working with Scientific Notation
Writing in scientific notation
Seeing why scientific notation works
Understanding order of magnitude
Multiplying with scientific notation

Chapter 15: Picturing and Measuring — Graphs, Measures, Stats, and Sets
Examining Differences between the English and Metric Systems
Looking at the English system
Looking at the metric system
Estimating and Converting between the English and Metric Systems
Estimating in the metric system
Converting units of measurement

Chapter 16: Picturing and Measuring — Graphs, Measures, Stats, and Sets
Getting on the Plane: Points, Lines, Angles, and Shapes
Making some points
Knowing your lines
Figuring the angles
Shaping things up
Closed Encounters: Shaping Up Your Understanding of 2-D Shapes
Polygons
Circles
Taking a Trip to Another Dimension: Solid Geometry
The many faces of polyhedrons
3-D shapes with curves
Measuring Shapes: Perimeter, Area, Surface Area, and Volume
2-D: Measuring on the flat
Spacing out: Measuring in three dimensions

Chapter 17: Picturing and Measuring — Graphs, Measures, Stats, and Sets
Looking at Three Important Graph Styles
Bar graph
Pie chart
Line graph
Using the xy-Graph
Plotting points on an xy-graph
Drawing lines on an xy-graph

Chapter 18: Picturing and Measuring — Graphs, Measures, Stats, and Sets
The Chain Gang: Solving Measurement Problems with Conversion Chains
Setting up a short chain
Working with more links
Pulling equations out of the text
Rounding off: Going for the short answer
Solving Geometry Word Problems
Working from words and images
Breaking out those sketching skills

Chapter 19: Picturing and Measuring — Graphs, Measures, Stats, and Sets
Gathering Data Mathematically: Basic Statistics
Understanding differences between qualitative and quantitative data
Working with qualitative data
Working with quantitative data
Looking at Likelihoods: Basic Probability
Figuring the probability
Oh, the possibilities! Counting outcomes with multiple coins

Chapter 20: Picturing and Measuring – Graphs, Measures, Stats, and Sets
Understanding Sets
Elementary, my dear: Considering what’s inside sets
Sets of numbers
Performing Operations on Sets
Union: Combined elements
Intersection: Elements in common
Relative complement: Subtraction (sorta)
Complement: Feeling left out

Part V: The X-Files: Introduction to Algebra
Chapter 21: The X-Files: Introduction to Algebra
Seeing How X Marks the Spot
Expressing Yourself with Algebraic Expressions
Evaluating algebraic expressions
Coming to algebraic terms
Making the commute: Rearranging your terms
Identifying the coefficient and variable
Identifying like terms
Considering algebraic terms and the Big Four
Simplifying Algebraic Expressions
Combining like terms
Removing parentheses from an algebraic expression

Chapter 22: The X-Files: Introduction to Algebra
Understanding Algebraic Equations
Using x in equations
Choosing among four ways to solve algebraic equations
The Balancing Act: Solving for x
Striking a balance
Using the balance scale to isolate x
Rearranging Equations and Isolating x
Rearranging terms on one side of an equation
Moving terms to the other side of the equals sign
Removing parentheses from equations
Cross-multiplying

Chapter 23: The X-Files: Introduction to Algebra
Solving Algebra Word Problems in Five Steps
Declaring a variable
Setting up the equation
Solving the equation
Answering the question
Checking your work
Choosing Your Variable Wisely
Solving More-Complex Algebraic Problems
Charting four people
Crossing the finish line with five people

Part VI: The Part of Tens
Chapter 24: The Part of Tens
Knowing the Multiplication Table
Adding and Subtracting Negative Numbers
Multiplying and Dividing Negative Numbers
Knowing the Difference between Factors and Multiples
Reducing Fractions to Lowest Terms
Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Identifying Algebra’s Main Goal: Find x
Knowing Algebra’s Main Rule: Keep the Equation in Balance
Seeing Algebra’s Main Strategy: Isolate x

Chapter 25: The Part of Tens
Counting on Counting (or Natural) Numbers
Identifying Integers
Knowing the Rationale behind Rational Numbers
Making Sense of Irrational Numbers
Absorbing Algebraic Numbers
Moving through Transcendental Numbers
Getting Grounded in Real Numbers
Trying to Imagine Imaginary Numbers
Grasping the Complexity of Complex Numbers
Going beyond the Infinite with Transfinite Numbers

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