All the Math You'll Ever Need

All the Math You'll Ever Need
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A comprehensive and hands-on guide to crucial math concepts and terminology In the newly revised third edition of All the Math You’ll Ever Need: A Self-Teaching Guide , veteran math and computer technology teacher Carolyn Wheater and veteran mathematics author Steve Slavin deliver a practical and accessible guide to math you can use every day and apply to a wide variety of life tasks. From calculating monthly mortgage payments to the time you’ll need to pay off a credit card, this book walks you through the steps to understanding basic math concepts. This latest edition is updated to reflect recent changes in interest rates, prices, and wages, and incorporates information on the intelligent and efficient use of calculators and mental math techniques. It also offers: A brand-new chapter on hands-on statistics to help readers understand common graphs An easy-to-use-format that provides an interactive method with frequent questions, problems, and self-tests Complete explanations of necessary mathematical concepts that explore not just how math works, but also why it worksPerfect for anyone seeking to make practical use of essential math concepts and strategies in their day-to-day life, All the Math You’ll Ever Need is an invaluable addition to the libraries of students who want a bit of extra help applying math in the real world.

Оглавление

Steve Slavin. All the Math You'll Ever Need

Table of Contents

List of Tables

Guide

Pages

All the Math You’ll Ever Need. A Self-Teaching Guide

How to Use This Book

Acknowledgments

1 Getting Started

2 Essential Arithmetic

1 ADDITION

Place Value

Problem 1:

Problem 2:

Problem 3:

2 MULTIPLICATION

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 2.1

3 SUBTRACTION

Problem 1:

Problem 2:

4 DIVISION

Estimation

Short Division

Problem 1:

Problem 2:

SELF-TEST 2.2

ANSWERS TO SELF-TEST 2.1

ANSWERS TO SELF-TEST 2.2

3 Focus on Multiplication

1 THE MULTIPLICATION TABLE

2 LEARNING THE MULTIPLICATION TABLE

3 TESTING YOUR KNOWLEDGE

Problems:

4 ABOUT LONG MULTIPLICATION

5 PRACTICE EXERCISES WITH TWO DIGITS

Problems:

Problems:

6 MULTIPLYING THREE DIGITS

Problems:

Problems:

Problems:

7 FOUR-DIGIT MULTIPLICATION

Problems:

Problems:

SELF-TEST 3.1

8 WORD PROBLEMS WITH MULTIPLICATION

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 3.2

ANSWERS TO SELF-TEST 3.1

ANSWERS TO SELF-TEST 3.2

4 Focus on Division

1 SHORT DIVISION

Problems:

Problems:

ROUNDING

Problems:

Problems:

Problems:

SELF-TEST 4.1

2 LONG DIVISION

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 4.2

3 WORD PROBLEMS WITH DIVISION

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 4.3

ANSWERS TO SELF-TEST 4.1

ANSWERS TO SELF-TEST 4.2

ANSWERS TO SELF-TEST 4.3

5 Mental Math

1 FAST MULTIPLICATION

Problems:

Problems:

Problems:

Problems:

SELF-TEST 5.1

2 FAST DIVISION

Problems:

Problems:

Problems:

SELF-TEST 5.2

3 HOW ARE YOU DOING SO FAR?

4 MENTAL MATH TRICKS

Break It Down

Problems:

Multiples of Powers of 10

Problems:

Multiplying by 5

Problem:

Problems:

Two-Digit Number × 11

Problem:

Problem:

Problem:

Problem:

Problems:

Divisibility Tests

SELF-TEST 5.3

ANSWERS TO SELF-TEST 5.1

ANSWERS TO SELF-TEST 5.2

ANSWERS TO SELF-TEST 5.3

6 Positive and Negative Numbers

1 WHAT ARE NEGATIVE NUMBERS?

Problem 1:

Problem 2:

2 ADDING POSITIVE AND NEGATIVE NUMBERS

3 SUBTRACTING POSITIVE AND NEGATIVE NUMBERS

SELF-TEST 6.1

SUBTRACTING A NEGATIVE IS ALWAYS A PLUS

Problem 1:

Problem 2:

4 MULTIPLYING POSITIVE AND NEGATIVE NUMBERS

SELF-TEST 6.2

5 DIVISION WITH POSITIVE AND NEGATIVE NUMBERS

SELF-TEST 6.3

ANSWERS TO SELF-TEST 6.1

ANSWERS TO SELF-TEST 6.2

ANSWERS TO SELF-TEST 6.3

7 Fractions

1 CHANGING THE LOOK OF FRACTIONS

Making a Whole Number Look Like a Fraction

Simplifying a Fraction

Problem 1:

Problem 2:

Getting the Denominator You Want

Problem 3:

Problem 4:

Changing a Mixed Number to a Fraction

Problem 5:

Problem 6:

2 ADDING FRACTIONS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 7.1

3 SUBTRACTING FRACTIONS

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 7.2

4 MULTIPLYING BY FRACTIONS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 7.3

5 DIVIDING BY FRACTIONS

Problem 1:

Problem 2:

SELF-TEST 7.4

6 CANCELLING

Problem:

SELF-TEST 7.5

ANSWERS TO SELF-TEST 7.1

ANSWERS TO SELF-TEST 7.2

ANSWERS TO SELF-TEST 7.3

ANSWERS TO SELF-TEST 7.4

ANSWERS TO SELF-TEST 7.5

8 Decimals

1 ADDING AND SUBTRACTING WITH DECIMALS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

2 MULTIPLYING WITH DECIMALS

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 8.1

3 DIVIDING WITH DECIMALS

Problem 1:

Problem 2:

SELF-TEST 8.2

ANSWERS TO SELF-TEST 8.1

ANSWERS TO SELF-TEST 8.2

9 Converting Fractions and Decimals

1 CONVERTING FRACTIONS INTO DECIMALS

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 9.1

2 CONVERTING DECIMALS INTO FRACTIONS

Problem 1:

Problem 2:

SELF-TEST 9.2

3 SIMPLIFYING FRACTIONS

Problem 1:

Problem 2:

SELF-TEST 9.3

4 REPEATING DECIMALS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

5 NON-TERMINATING DECIMALS

SELF-TEST 9.4

ANSWERS TO SELF-TEST 9.1

ANSWERS TO SELF-TEST 9.2

ANSWERS TO SELF-TEST 9.3

ANSWERS TO SELF-TEST 9.4

10 Ratios and Proportions

1 RATIOS

Problem 1:

Problem 2:

SELF-TEST 10.1

2 PROPORTIONS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

Problem 8:

Problem 9:

Problem 10:

SELF-TEST 10.2

ANSWERS TO SELF-TEST 10.1

ANSWERS TO SELF-TEST 10.2

11 Solving Problems

1 WORDS AND FRACTIONS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

2 WORD PROBLEMS WITH MONEY

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 11.1

ANSWERS TO SELF-TEST 11.1

12 Area and Perimeter

1 AREAS OF RECTANGLES

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 12.1

2 WHEN WE USE AREA

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 12.2

3 PERIMETERS OF RECTANGLES

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 12.3

4 AREAS OF TRIANGLES

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 12.4

ANSWERS TO SELF-TEST 12.1

ANSWERS TO SELF-TEST 12.2

ANSWERS TO SELF-TEST 12.3

ANSWERS TO SELF-TEST 12.4

13 Circumference and Area

1 CIRCUMFERENCE OF A CIRCLE

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 13.1

2 THE AREA OF A CIRCLE

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 13.2

ANSWERS TO SELF-TEST 13.1

ANSWERS TO SELF-TEST 13.2

14 Percentages

1 FRACTIONS, DECIMALS, AND PERCENTS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

HOW YOUR SOCIAL SECURITY TAX IS CALCULATED

SELF-TEST 14.1

2 PERCENT CHANGE

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 14.2

3 FAST PERCENT CHANGE

SELF-TEST 14.3

4 PERCENT DISTRIBUTION

Problem 1:

Problem 2:

SELF-TEST 14.4

5 TIPPING

SELF-TEST 14.5

ANSWERS TO SELF-TEST 14.1

ANSWERS TO SELF-TEST 14.2

ANSWERS TO SELF-TEST 14.3

ANSWERS TO SELF-TEST 14.4

ANSWERS TO SELF-TEST 14.5

15 Solving Simple Equations

1 THE CARE AND TREATMENT OF EQUATIONS

2 ISOLATING X

3 ADDITION AND SUBTRACTION WITH X

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 15.1

4 MULTIPLICATION AND DIVISION WITH X

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 15.2

5 FRACTIONS AND DECIMALS IN EQUATIONS

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 15.3

6 NEGATIVE NUMBERS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 15.4

7 MULTI-STEP EQUATIONS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

Problem 8:

SELF-TEST 15.5

ANSWERS TO SELF-TEST 15.1

ANSWERS TO SELF-TEST 15.2

ANSWERS TO SELF-TEST 15.3

ANSWERS TO SELF-TEST 15.4

ANSWERS TO SELF-TEST 15.5

16 Powers and Roots

1 EXPONENTS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 16.1

The Powers That Be

2 ROOTS

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 16.2

3 ADVANCED PROBLEMS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

SELF-TEST 16.3

ANSWERS TO SELF-TEST 16.1

ANSWERS TO SELF-TEST 16.2

ANSWERS TO SELF-TEST 16.3

17 Very Large and Very Small Numbers

1 WRITING LARGE NUMBERS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

Problem 8:

Problem 9:

SELF-TEST 17.1

2 SCIENTIFIC NOTATION

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 17.2

3 MILLIONS, BILLIONS, TRILLIONS, AND BEYOND

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 6:

Problem 7:

SELF-TEST 17.3

4 MULTIPLYING LARGE NUMBERS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

5 DIVIDING LARGE NUMBERS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Self-Test 17.4

6 SCIENTIFIC NOTATION FOR VERY SMALL NUMBERS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

Problem 8:

SELF-TEST 17.5

ANSWERS TO SELF-TEST 17.1

ANSWERS TO SELF-TEXT 17.2

ANSWERS TO SELF-TEST 17.3

ANSWERS TO SELF-TEST 17.4

ANSWERS TO SELF-TEST 17.5

18 Algebra Problems

1 AGE PROBLEMS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 18.1

2 FINDING THE NUMBERS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 18.2

3 MIXTURE PROBLEMS

Problem 1:

Problem 2:

SELF-TEST 18.3

ANSWERS TO SELF-TEST 18.1

ANSWERS TO SELF-TEST 18.2

ANSWERS TO SELF-TEST 18.3

19 Interest Rates

1 SIMPLE INTEREST

Problem 1:

Problem 2:

SELF-TEST 19.1

2 COMPOUND INTEREST

Problem 1:

Problem 2:

Problem 3:

3 A WORD ON CONTINUOUS COMPOUNDING

SELF-TEST 19.2

4 DOUBLING TIME: THE RULE OF 70

Problem 1:

Problem 2:

SELF-TEST 19.3

5 DISCOUNTING

Problem 1:

Problem 2:

SELF-TEST 19.4

ANSWERS TO SELF-TEST 19.1

ANSWERS TO SELF-TEST 19.2

ANSWERS TO SELF-TEST 19.3

ANSWERS TO SELF-TEST 19.4

20 Rate, Time, and Distance

1 THE MAGIC FORMULA

2 THE TERMS

3 FINDING DISTANCE

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 20.1

4 FINDING RATE

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 20.2

5 FINDING TIME

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 20.3

6 RATE, TIME, AND DISTANCE PROBLEMS

SELF-TEST 20.4

7 SPEED LIMIT PROBLEMS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 20.5

ANSWERS TO SELF-TEST 20.1

ANSWERS TO SELF-TEST 20.2

ANSWERS TO SELF-TEST 20.3

ANSWERS TO SELF-TEST 20.4

ANSWERS TO SELF-TEST 20.5

21 Personal Finance

1 MARK-DOWN PROBLEMS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 21.1

WHICH IS THE BETTER DEAL?

2 SALES TAX PROBLEMS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 21.2

3 CREDIT CARDS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 21.3

4 FEDERAL INCOME TAX

Problem 1:

Problem 2:

SELF-TEST 21.4

5 MORTGAGE INTEREST AND TAXES

Problem 1:

Problem 2:

SELF-TEST 21.5

ANSWERS TO SELF-TEST 21.1

ANSWERS TO SELF-TEST 21.2

ANSWERS TO SELF-TEST 21.3

ANSWERS TO SELF-TEST 21.4

ANSWERS TO SELF-TEST 21.5

22 Business Math

1 COMMISSIONS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

Problem 7:

SELF-TEST 22.1

2 MARK-UPS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 22.2

3 DISCOUNTING FROM LIST PRICE

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

Problem 6:

SELF-TEST 22.3

4 QUANTITY DISCOUNTS

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 22.4

5 2/10 N/30

Problem 1:

Problem 2:

Problem 3:

Problem 4:

Problem 5:

SELF-TEST 22.5

6 CHAIN DISCOUNTS

Problem 1:

Problem 2:

SELF-TEST 22.6

7 PROFIT

Problem 1:

Problem 2:

Problem 3:

Problem 4:

SELF-TEST 22.7

ANSWERS TO SELF-TEST 22.1

ANSWERS TO SELF-TEST 22.2

ANSWERS TO SELF-TEST 22.3

ANSWERS TO SELF-TEST 22.4

ANSWERS TO SELF-TEST 22.5

ANSWERS TO SELF-TEST 22.6

ANSWERS TO SELF-TEST 22.7

23 A Taste of Statistics

1 DISTRIBUTIONS OF DATA

SELF-TEST 23.1

2 MEASURES OF CENTER

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 23.2

3 MEASURES OF SPREAD

Median and Quartiles

Problem 1:

Problem 2:

5-Number Summary

Problem 3:

Problem 4:

Range and Interquartile Range

Problem 5:

Mean and Standard Deviation

Problem 6:

SELF-TEST 23.3

4 ESTIMATING

Problem 1:

Problem 2:

Problem 3:

SELF-TEST 23.4

ANSWERS TO SELF-TEST 23.1

ANSWERS TO SELF-TEST 23.2

ANSWERS TO SELF-TEST 23.3

ANSWERS TO SELF-TEST 23.4

24 Review

CHAPTER 3 REVIEW

CHAPTER 4 REVIEW

CHAPTER 5 REVIEW

CHAPTER 6 REVIEW

CHAPTER 7 REVIEW

CHAPTER 8 REVIEW

CHAPTER 9 REVIEW

CHAPTER 10 REVIEW

CHAPTER 11 REVIEW

CHAPTER 12 REVIEW

CHAPTER 13 REVIEW

CHAPTER 14 REVIEW

CHAPTER 15 REVIEW

CHAPTER 16 REVIEW

CHAPTER 17 REVIEW

CHAPTER 18 REVIEW

CHAPTER 19 REVIEW

A Word on Formulas

CHAPTER 20 REVIEW

CHAPTER 21 REVIEW

CHAPTER 22 REVIEW

CHAPTER 23 REVIEW

ANSWERS FOR CHAPTER 3 REVIEW

ANSWERS FOR CHAPTER 4 REVIEW

ANSWERS FOR CHAPTER 5 REVIEW

ANSWERS FOR CHAPTER 6 REVIEW

ANSWERS FOR CHAPTER 7 REVIEW

ANSWERS FOR CHAPTER 8 REVIEW

ANSWERS FOR CHAPTER 9 REVIEW

ANSWERS FOR CHAPTER 10 REVIEW

ANSWERS FOR CHAPTER 11 REVIEW

ANSWERS FOR CHAPTER 12 REVIEW

ANSWERS FOR CHAPTER 13 REVIEW

ANSWERS FOR CHAPTER 14 REVIEW

ANSWERS FOR CHAPTER 15 REVIEW

ANSWERS FOR CHAPTER 16 REVIEW

ANSWERS FOR CHAPTER 17 REVIEW

ANSWERS FOR CHAPTER 18 REVIEW

ANSWERS FOR CHAPTER 19 REVIEW

ANSWERS FOR CHAPTER 20 REVIEW

ANSWERS FOR CHAPTER 21 REVIEW

ANSWERS FOR CHAPTER 22 REVIEW

ANSWERS FOR CHAPTER 23 REVIEW

WHERE TO FROM HERE?

Index

WILEY END USER LICENSE AGREEMENT

Отрывок из книги

Wiley Self‐Teaching Guides teach practical skills in mathematics and science. Look for them at your local bookstore.

.....

Multiplying 2 × 6 gives you 12, so put down the 2 and carry 1. Then 2 × 8 is 16 plus 1 you carried is 17.

Place a zero at the end of the second line, or if you prefer, just move one space right, and multiply 1 × 86, which obviously is 86. Add the columns to complete the job.

.....

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