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## Details

Genre/Form: | Problems and exercises Problems, exercises, etc |
---|---|

Document Type: | Book |

All Authors / Contributors: |
Mark Zegarelli |

ISBN: | 9781119067962 1119067960 |

OCLC Number: | 898162637 |

Notes: | "A Wiley brand." Includes index. |

Description: | xiii, 509 pages ; 26 cm. |

Contents: | Introduction: -- About this book -- Foolish assumptions -- Beyond the book -- Where to go from here -- Part 1: Getting Started With Basic Math And Pre-Algebra: -- Playing The Numbers Game: -- 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 -- Four important sets of numbers: -- Counting on the counting numbers -- Introducing integers -- Staying rational -- Getting real -- It's All In The Fingers: Numbers And Digits: -- 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 -- Part 2: Getting A Handle On Whole Numbers: -- Putting The Big Four Operations To Work: -- Big four operations: -- Adding things up: addition -- Take it away: subtraction -- Sign of the times: multiplying -- Doing division lickety-split -- Switching things up with inverse operations and the commutative property -- Getting with the in-group: parentheses and the associative property: -- Distribution to lighten the load -- Understanding where negative numbers come from -- Sign-switching: understanding negation and absolute value -- Addition and subtraction with negative numbers -- Knowing signs of the times (and division) for negative numbers -- Understanding inequalities: -- Doesn't equal () -- Less the (<) and greater than (>) -- Less than or equal to () and greater than or equal to () -- Approximately equals() -- Moving beyond the big four: exponents and square roots: -- Understanding exponents -- Discovering your roots -- Question Of Values: Evaluating Arithmetic Expressions: -- Seeking equality for all: equations: -- Hey, it's just an expression -- Evaluating the situation -- Putting the three E's together --Introducing order of operations: -- Expressions with only addition and subtraction -- Expressions with only multiplication and division -- Mixed-operator expressions -- Handling powers responsibly: -- Prioritizing parentheses -- Pulling apart parentheses and powers -- Figuring out nested parentheses -- Bringing it all together: the order of operations -- Say What? Turning Words Into 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 -- Divisibility And Prime Numbers: -- Knowing the divisibility tricks: -- Counting everyone in: numbers you can divide everything by -- In the end: looking at the final digits -- Count it up: checking divisibility by adding and subtracting digits -- Less is more: checking divisibility by subtracting -- Cross-checking: using multiple tests -- Identifying prime and composite numbers -- Fabulous Factors And Marvelous Multiples: -- Knowing six ways to say the same thing -- Understanding factors and multiples -- Finding fabulous factors: -- Deciding when one number is a factor of another -- Understanding factor pairs -- Generating a number's factors -- Decomposing a number into its prime factors -- Finding the greatest common factor -- Generating the multiples of a number -- Finding the least common multiple -- Part 3: Parts Of The Whole: Fractions, Decimals, And Percents: -- 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 -- Comparing fractions with cross-multiplication -- Working with ratios and proportions -- Parting Ways: Fractions And The Big Four Operations: -- Multiplying and dividing fractions: -- Multiplying numerators and denominators straight across -- Doing a flip to divide fractions -- Adding and subtracting fractions with the same denominator: -- Adding fractions with different denominators -- Trying a quick trick -- Relying on the traditional way -- Taking it away: subtracting fractions: -- Subtracting fractions with different denominators -- Working properly with mixed numbers: -- Multiplying and dividing mixed numbers -- Adding mixed numbers -- Subtracting mixed numbers -- 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: -- Simple decimal-fraction conversions: -- Changing decimals to fractions -- Changing fractions to decimals -- Playing With Percents: -- Making sense of percent's -- Dealing with percent's greater than 100% -- Converting to and from percent's, decimals, and fractions -- Converting percent's to decimals -- Changing decimals to percent's -- Switching from percent's to fractions -- Converting fractions to percent's -- 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 -- 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: percent's -- 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 percent's 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 4: Picturing And Measuring: Measures, Stats, And Sets: -- Perfect Ten: Condensing Numbers With Scientific Notation: -- First things first: using powers of ten as exponents: -- Counting zeros and writing exponents -- Exponential arithmetic: multiplying and dividing powers of ten -- Working with scientific notation: -- Writing in scientific notation -- Understanding order of magnitude -- Multiplying and dividing with scientific notation -- Multiplying and dividing with scientific notation -- How Much Have You Got? Weights And Measures: -- Understanding units: -- Adding and subtracting units -- Multiplying and dividing units -- 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 -- Converting between English and metric units -- Picture This: Basic Geometry: -- Getting on the plane: points, lines, angles, and shapes: -- Making some points -- Knowing your lines -- Figuring the angles -- Shaping things up -- Getting in shape: polygon (and non-polygon) basics -- Closed encounters: shaping up your understanding of 2-D shapes: -- Polygons -- Circles -- Squaring off with quadrilaterals -- Making a triple play with triangles -- Getting around with circle measurements -- Taking a trip to another dimension: solid geometry: -- Many faces of polyhedrons -- 3-D shapes with curves -- Building solid measurement skills -- Solving geometry word problems: -- Working from words and images -- Breaking out those sketching skills -- Figuring Your Chances: Statistics And Probability: -- 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 -- Setting Things Up With Basic Set Theory: -- 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 5: X-Files: Introduction To Algebra: -- Enter Mr X: Algebra And Algebraic Expressions: -- Seeing how X marks the spot -- Expressing yourself with algebraic expressions -- Evaluating algebraic expressions -- Knowing the terms of separation: -- Making the commute: rearranging your terms -- Identifying the coefficient and variable -- Adding and subtracting terms: -- Identifying like terms -- Adding and subtracting terms -- Multiplying and dividing terms -- Simplifying expressions by combining like terms -- Removing parentheses from an algebraic expression -- FOILing: dealing with two sets of parentheses -- Unmasking Mr X: Algebraic Equations: -- Understanding algebraic equations: -- Using x in equations -- Choosing among four ways to solve algebraic equations -- 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 -- Putting Mr X To Work: Algebra Word Problems: -- 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 -- Parts Of Tens: -- Ten Little Math Demons That Trip People Up: -- 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 -- Ten Important Number Sets To Know: -- 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 -- Ten Curious Types Of Numbers: -- Square numbers -- Triangular numbers -- Cubic numbers -- Factorial numbers -- Powers of two -- Perfect numbers -- Amicable numbers -- Prime numbers -- Mersenne primes -- Fermat primes -- Ten Alternative Numeral And Number Systems: -- Tally marks -- Bundled tally marks -- Egyptian numerals -- Babylonian numerals -- Ancient Greek numerals -- Roman numerals -- Mayan numerals -- Base-2 (binary) numbers -- Base-16 (hexadecimal) numbers -- Prime-based numbers -- Index. |

Series Title: | U can.; --For dummies. |

Other Titles: | Basic math and pre-algebra for dummies Step-by-step lessons and practice for basic math and pre-algebra |

Responsibility: | by Mark Zegarelli. |

### Abstract:

The fun and friendly guide to really understanding math U Can: Basic Math & Pre-Algebra For Dummies is the fun, friendly guide to making sense of math. It walks you through the "how" and "why" to help you master the crucial operations that underpin every math class you'll ever take.
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