Builder's Guide to Construction Mathematics

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Builder's Guide to Construction Mathematics 

TABLE OF CONTENTS:

CHAPTER 1: FRACTIONS .......... 1

Reduction of Fractions ...................................... 1

Changing Improper Fractions

and Mixed Numbers ......................................... 3

Addition of Fractions and Mixed Numbers ...... 4

Subtraction of Fractions

and Mixed Numbers ......................................... 8

Multiplication of Fractions

and Mixed Numbers ....................................... 10

Cancellation ...................................................... 12

Division of Fractions and Mixed Numbers ..... 14

CHAPTER 2: DECIMALS ........... 17

Decimal and Fraction Conversion .................. 18

Addition and Subtraction of Decimals ........... 20

Multiplication of Decimals ............................... 22

Division of Decimals ........................................ 23

Decimal Multiplication and

Division with Tens .......................................... 24

Rounding Off Decimals .................................... 26

CHAPTER 3: INCHES-FEET

CONVERSIONS ......................... 28

Inches to Feet ................................................... 28

Feet to Inches ................................................... 30

Addition and Subtraction

of Inches and Feet .......................................... 31

Multiplication and Division

of Inches and Feet .......................................... 32

CHAPTER 4: PERCENTAGE .... 36

Changing Percent to Decimals ....................... 36

Changing Percent to Common Fractions ...... 36

Changing a Decimal to a Percent ................... 37

Changing Common Fractions to Percent ...... 37

The Three Types of Percentage Problems ..... 37

CHAPTER 5: RATIO .................. 41

Roof Pitch ......................................................... 42

CHAPTER 6: PROPORTION ..... 44

CHAPTER 7: ALGEBRA

FUNDAMENTALS ...................... 47

Addition of Signed Numbers ........................... 47

Subtraction of Signed Numbers ..................... 48

Multiplication of Signed Numbers .................. 48

Division of Signed Numbers ........................... 49

Parentheses ...................................................... 50

Algebraic Expressions ..................................... 51

 CHAPTER 8: EQUATION

SOLVING .................................... 54

Addition of Quantities ..................................... 54

Subtraction of Quantities ............................... 55

Multiplication of Quantities ............................ 55

Division of Quantities ..................................... 55

Transposition .................................................. 58

CHAPTER 9: POWERS AND

ROOTS ....................................... 62

CHAPTER 10: BOARD FEET .... 66

CHAPTER 11: AREAS AND

VOLUMES .................................. 68

Circle ................................................................. 69

Triangle ............................................................. 69

Right Triangle ................................................... 70

Square ............................................................... 71

Rectangle .......................................................... 71

Parallelogram ................................................... 72

Trapezoid .......................................................... 72

Hexagon ............................................................ 72

Octagon ............................................................ 72

Cube .................................................................. 73

Rectangular Solid ............................................ 73

Cylinder ............................................................ 74

Right Circular Cone ......................................... 74

Right Pyramids ................................................ 75

Sphere .............................................................. 75

CHAPTER 12: TABLES ............. 80

Table 1: Common Equivalent Units ............. 80

Table 2: Lineal Foot Table of

Board Measure .............................. 81

Table 3: Fractions Converted to Decimals 82

Table 4: Lengths of Common Rafters Per 12 Inches of Run .................... 83

Table 5: Decimals of a Foot ......................... 84

Table 6: Squares, Cubes, Square and Cube Roots ............................ 85

ANSWERS ................................... 96