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Basic math & pre-algebra for dummies
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Table of Contents
From the Book - Second edition.
Introduction
Getting started with basic math and pre-algebra
Getting a handle on whole numbers
Parts of the whole: fractions, decimals, and percents
Picturing and measuring: graphs, measures, stats, and sets
The x-files: introduction to algebra
The part of tens.
From the Book
pt. 1: Arming Yourself With The Basics Of Basic Math
1: Playing the numbers game
Inventing numbers
Understanding number sequences
Looking at the number line
Four important sets of numbers
2: It's all in the fingers-numbers and digits
Knowing your place value
Close enough for rock 'n roll: rounding and estimating
3: Big four: addition, subtraction, multiplication, and division
Adding things up
Take it away: subtracting
Multiplying
Doing division lickety-split
pt. 2. Getting A Handle On Whole Numbers
4: Putting the big four operations to work
Knowing properties of the big four operations
Big-four operations with negative numbers
Understanding units
Understanding inequalities
Beyond the big four: exponents, square roots, and absolute value
5: Question of values: evaluating arithmetic expressions
Three E's of math: equations, expressions, and evaluations
Equality for all: equations
Introducing order of operations
6: Say what? turning words into numbers
Dispelling two myths about word problems
Solving basic word problems
Solving more-complex word problems
7: Divisibility
Knowing the divisibility tricks
Identifying prime and composite numbers
8: Fabulous factors and marvelous multiples
Knowing six ways to say the same thing
Connecting factors and multiples
Fabulous factors
Marvelous multiples
pt. 3. Parts Of The Whole: Fractions, Decimals, And Percents
9: Fooling with fractions
Slicing a cake into fractions
Knowing the fraction facts of life
Increasing and reducing terms of fractions
Converting between improper fractions and mixed numbers
Understanding cross-multiplication
10: Parting ways: fractions and the big four operations
Multiplying and dividing fractions
All together now: adding fractions
Take it away: subtracting fractions
Working properly with mixed numbers
11: Dallying with decimals
Basic decimal stuff
Performing the big four with decimals
Converting between decimals and fractions
12: Playing with percents
Making sense of percents
Dealing with percents greater than 100 percent
Converting to and from percents, decimals, and fractions
Solving percent problems
Putting all the percent problems together
13: Word problems with fractions, decimals, and percents
Adding and subtracting parts of the whole in word problems
Problems about multiplying fractions
Multiplying decimals and percents in word problems
Handling percent increases and decreases in word problems
pt. 4. Picturing And Measuring-Graphs, Measures, Stats, And Sets
14: Perfect ten: condensing numbers with scientific notation
First things first: powers of ten as exponents
Working with scientific notation
15: How much have you got? weights and measures
Examining differences between the English and Metric systems
Estimating and converting between the English and Metric systems
16: Picture this: basic geometry
Getting on the plane: points, lines, angles, and shapes
Closed encounters: shaping up your understanding of 2-D shapes
Taking a trip to another dimension: solid geometry
Measuring shapes: perimeter, area, surface area, and volume
17: Seeing is believing: graphing as a visual tool
Looking at three important graph styles
Cartesian coordinates
18: Solving geometry and measurements word problems
Chain gang: solving measurement problems with conversion chains
Solving geometry word problems
Together at last: putting geometry and measurements in one problem
19: Figuring your chances: statistics and probability
Gathering data mathematically: basic statistics
Looking at likelihoods: basic probability
20: Setting things up with basic set theory
Understanding sets
Operations on sets
pt. 5. X-Files: Introduction To Algebra
21: Enter Mr X: algebra and algebraic expressions
X marks the spot
Expressing yourself with algebraic expressions
Simplifying algebraic expressions
22: Unmasking Mr X: algebraic equations
Understanding algebraic equations
Balancing act: solving for X
Rearranging equations and isolating X
23: Putting Mr X to work: algebra word problems
Solving algebra word problems in five steps
Choosing your variable wisely
Solving more-complex algebraic problems
pt. 6. Part Of Tens
24: Ten key math concepts you shouldn't ignore
Getting set with sets
Playing with prime numbers
Zero: much ado about nothing
Going Greek: Pi(p)
On the level: equal signs and equations
On the grid: the cartesian graph
In and out: relying on functions
Exploring the infinite
Real number line
Imaginary number i
25: Ten important number sets you should 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
Index.
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More Details
Contributors
Zegarelli, Mark Author
ISBN
9781118791981
9781119293637
9781119298885
9780470135372
9781118791998
9781119293637
9781119298885
9780470135372
9781118791998
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