Chapter 1. Mathematics
Mathematics 11
Mathematics in Aviation Maintenance 11
Whole Numbers 11
Addition of Whole Numbers 11
Subtraction of Whole Numbers 11
Multiplication of Whole Numbers 11
Division of Whole Numbers 12
Fractions 12
Finding the Least Common Denominator 12
Addition of Fractions 12
Subtraction of Fractions 12
Multiplication of Fractions 13
Division of Fractions 13
Reducing Fractions 13
Mixed Numbers 14
Addition of Mixed Numbers 14
Subtraction of Mixed Numbers 14
The Decimal Number System 14
The Origin and Definition 14
Addition of Decimal Numbers 15
Subtraction of Decimal Numbers 15
Multiplication of Decimal Numbers 15
Division of Decimal Numbers 16
Rounding Off Decimal Numbers 16
Converting Decimal Numbers to Fractions 16
Converting Fractions to Decimals 17
Decimal Equivalent Chart 17
Ratio 17
Aviation Applications 19
Proportion 19
Extremes and Means 19
Solving Proportions 110
Percentage 110
Expressing a Decimal Number as a Percentage 110
Expressing a Percentage as a Decimal Number 110
Expressing a Fraction as a Percentage 110
Finding a Percentage of a Given Number 110
Finding What Percentage One Number Is of Another 110
Finding a Number When a Percentage of It Is Known 111
Positive and Negative Numbers (Signed Numbers) 111
Addition of Positive and Negative Numbers 111
Subtraction of Positive and Negative Numbers 111
Multiplication of Positive and Negative Numbers 111
Division of Positive and Negative Numbers 112
Powers 112
Special Powers 112
Negative Powers 112
Law of Exponents 112
Powers of Ten 112
Roots 112
Square Roots 113
Cube Roots 113
Fractional Powers 113
Functions of Numbers Chart 113
Scientific Notation 113
Converting Numbers from Standard Notation to Scientific Notation 116
Converting Numbers from Scientific Notation to Standard Notation 116
Addition, Subtraction, Multiplication, and Division of Scientific Numbers 116
Algebra 116
Equations 116
Algebraic Rules 116
Solving for a Variable 117
Use of Parentheses 117
Order of Operation 117
Order of Operation for Algebraic Equations 118
Computing Area of TwoDimensional Solids 118
Rectangle 118
Square 118
Triangle 119
Parallelogram 119
Trapezoid 119
Circle 120
Ellipse 120
Wing Area 120
Units of Area 121
Computing Volume of ThreeDimensional Solids 121
Rectangular Solid 121
Cube 122
Cylinder 122
Sphere 123
Cone 123
Units of Volume 123
Computing Surface Area ofThreeDimensional Solids 123
Rectangular Solid 123
Cube 124
Cylinder 124
Sphere 124
Cone 124
Trigonometric Functions 124
Right Triangle, Sides and Angles 124
Sine, Cosine, and Tangent 124
Pythagorean Theorem 125
Measurement Systems 125
Conventional (U.S. or English) System 125
Metric System 125
Measurement Systems and Conversions 126
The Binary Number System 126
Place Values 126
Converting Binary Numbers to Decimal Numbers 126
Converting Decimal Numbers to Binary Numbers 127
