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Index
DOVER BOOKS ON MATHEMATICS
Title Page
Copyright Page
Table of Contents
MATH AS YOU LIKE IT
INTRODUCTION
I. FUNDAMENTALS OF SHORT-CUT METHODS
1-1. Basic Ways of Simplifying Calculations
1-2. Results Are What You Want
1-3. Combining Mental and Written Math for Best Results
1-4. Approximating and Rounding Off
1-5. Achieving Accuracy with Speed
1-6. Testing Answers by Casting Out 9’s
II. ADDITION
2-1. Basic Principles
2-2. Adding by 10-Groups
2-3. Reaching 10-Levels
2-4. Adding by Other Combinations of Numbers
2-5. Adding by Multiplying
2-6. Adding Two or More Columns
2-7. Adding Long Columns
2-8. No-Carry Addition
2-9. Rounding Off Numbers for Addition
2-10. Rounding Off Dollars and Cents for Addition
2-11. Adding a Regular Series of Numbers
2-12. Add-and-Subtract Method of Simplifying Numbers
2-13. Splitting Numbers into Easy Parts
2-14. Thinking of Numbers as “Dollars” and “Cents”
2-15. Checking Your Answer by Adding Again in Reverse
2-16. Checking Addition by the No-Carry Method
2-17. Checking Addition by Casting Out 9’s
III. SUBTRACTION
3-1. Introduction
3-2. Add-or-Subtract Method of Simplifying Numbers
3-3. Subtraction without Borrowing
3-4. Splitting Numbers into Easy Parts
3-5. Counting Change after a Purchase
3-6. Checking Your Answer in Subtraction
IV. MULTIPLICATION
4-1. Basic Principles
4-2. Multiplication When One Number Has All Digits Alike
4-3. To Multiply by a Number Made Up of Multiples
4-4. No-Carry Multiplication
4-5. To Multiply a Number by 10, 100, 1,000, etc.
4-6. General Method for Multiplying by Aliquot Parts
4-7. To Multiply by .5, 5, 50, or 500
4-8. To Multiply by .25, 2.5, 25, or 250
4-9. To Multiply by .125, 1.25, 12.5, or 125
4-10. To Multiply by .75, 7.5, 75, or 750
4-11. To Square a Number Ending in 1
4-12. To Square a Number Ending in 4
4-13. To Square a Number Ending in 5
4-14. To Square a Number Ending in 6
4-15. To Square a Number Ending in 9
4-16. To Multiply Two Numbers with a Difference of 1
4-17. To Multiply Two Numbers with a Difference of 2
4-18. To Multiply Two Numbers with a Difference of 3
4-19. To Multiply Two Numbers with a Difference of 4
4-20. To Multiply Two Numbers with a Difference of 6
4-21. General Method for Multiplying by Numbers Ending in 1
4-22. To Multiply a Number by 11
4-23. To Multiply a Number by 21
4-24. To Multiply a Number by 31, 41, 51, etc.
4-25. To Multiply by 15, 25, 35, 45, etc. Halve-and-Double Method
4-26. Alternate Method for Multiplying a Number by 15
4-27. Alternate Method for Multiplying a Number by 45
4-28. Alternate Method for Multiplying a Number by 55
4-29. To Multiply One Number by Another When They Both End in 5 and the Sum of Their Other Digits is Even
4-30. To Multiply One Number by Another When They Both End in 5 and the Sum of Their Other Digits Is Odd
4-31. To Multiply a Number by 9
4-32. To Multiply a Number by 19, 29, 39, etc.
4-33. To Multiply by a Multiple of 9 from 18 to 81
4-34. To Multiply a Number by 99
4-35. To Multiply by a Multiple of 99
4-36. To Multiply a Number by 98
4-37. To Multiply a Number by 101
4-38. To Multiply a Number by 102
4-39. To Multiply One “Teen” Number by Another
4-40. To Multiply Two Numbers When Their End Digits Add to 10 and Their Other Digits Are the Same
4-41. To Multiply Two Two-Digit Numbers When Their First Digits Add to 10 and Their End Digits Are the Same
4-42. Estimate the Answer Before You Multiply
4-43. Checking Multiplication by Multiplying in Reverse
4-44. Checking Multiplication by Using a Short-Cut
4-45. Checking Multiplication by Dividing the Product by One of the Factors Used
4-46. Checking Multiplication by Casting Out 9’s
V. DIVISION
5-1. Basic Principles
5-2. Doing Short Division
5-3. Doing Long Division
5-4. To Divide by 10, 100, 1,000, etc.
5-5. General Method for Dividing by Aliquot Parts
5-6. To Divide by .5, 5, 50, or 500
5-7. To Divide by .25, 2.5, 25, or 250
5-8. To Divide by .125, 1.25, 12.5, or 125
5-9. To Divide by .75, 7.5, 75, or 750
5-10. Test for Divisibility by Odd and Even Numbers
5-11. Test for Divisibility by 2
5-12. Test for Divisibility by 3
5-13. Test for Divisibility by 4
5-14. Test for Divisibility by 5
5-15. Test for Divisibility by 6
5-16. Test for Divisibility by 7
5-17. Test for Divisibility by 8
5-18. Test for Divisibility by 9
5-19. Test for Divisibility by 10
5-20. Test for Divisibility by 11
5-21. Test for Divisibility by 12
5-22. Test for Divisibility by 15
5-23. Test for Divisibility by 18
5-24. Extending the Tests to Divisibility by Larger Divisors
5-25. Simplifying the Dividend by Adding or Subtracting
5-26. Simplifying the Dividend by Breaking It into Parts
5-27. Simplifying the Divisor by Factoring It
5-28. Simplifying the Dividend and Divisor by Multiplying or Dividing Both by the Same Number
5-29. Problems Involving Both Multiplication and Division
5-30. Estimate the Answer Before You Divide
5-31. Check the Subtractions in Long Division As You Go
5-32. Checking Division by Multiplying Your Answer by the Divisor
5-33. Checking Division by Dividing Your Answer into the Dividend
5-34. Checking Division by Using a Short-Cut
5-35. Checking Division by Casting Out 9’s
VI. FRACTIONS, MIXED NUMBERS, AND PERCENTAGES
6-1. Definitions and Basic Principles Common fractions:
6-2. Finding a Common Denominator
6-3. Converting Fractions to Decimals for Easier Adding or Subtracting
6-4. Fastest Way to Add Any Pair of Fractions
6-5. Fastest Way to Subtract Any Pair of Fractions
6-6. To Add Two Fractions with Numerators of 1
6-7. To Subtract Two Fractions with Numerators of 1
6-8. To Multiply by a Fraction
6-9. To Divide by a Fraction
6-10. To Multiply a Number by
6-11. Simplifying a Mixed Number Before Multiplying
6-12. To Square a Mixed Number Ending in
6-13. To Multiply a Number by a Mixed Number Ending in : Halve-and-Double Method
6-14. To Divide a Number by a Mixed Number Ending in
6-15. To Multiply Two Mixed Numbers When They Both End in and the Sum of Their Whole Numbers Is Even
6-16. To Multiply Two Mixed Numbers When They Both End in and the Sum of Their Whole Numbers Is Odd
6-17. To Multiply Two Mixed Numbers Having the Same Whole Numbers, and Fractions That Add to 1
6-18. To Multiply or Divide by
6-19. To Multiply or Divide by
6-20. To Multiply or Divide by
6-21. To Multiply or Divide by
6-22. To Multiply or Divide by
6-23. To Find of a Number
6-24. To Find 20 % of a Number
6-25. To Find of a Number
6-26. To Find 50% of a Number
6-27. To Find of a Number
INDEX
A CATALOG OF SELECTED DOVER BOOKS IN ALL FIELDS OF INTEREST
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