Math for Machinists

Description

The intent of Math for Machinists is to provide students with a review of basic math operations (whole numbers, fractions, decimals, percentages), measurements, and additional math topics that are directly applicable to machining and manufacturing, such as the precision measurements, angles, area, volume, and gear calculations. Creative problems and pertinent exercises help students develop their math skills as well as their knowledge of the trade. Answers to odd-numbered practice problems are listed in the back of the text. Format combines text and workbook elements so that learners can put theory into practice immediately. Practice problems reinforce unit concepts of basic math operations. Application problems allow students to tie what they have learned to practical machinist math problems. Section 1—Whole Numbers 1 Number Systems . . . . . . . . . . . . . . . . . . 2 2 Adding Whole Numbers . . . . . . . . . . . 7 3 Subtracting Whole Numbers . . . . . . . 15 4 Multiplying Whole Numbers . . . . . . 23 5 Dividing Whole Numbers . . . . . . . . . 33 6 Combined Operations . . . . . . . . . . . . 43 Section 2—Common Fractions 7 Parts of a Fraction . . . . . . . . . . . . . . . . 52 7 Parts of a Fraction . . . . . . . . . . . . . . . . 52 8 Proper Fractions, Improper Fractions, and Mixed Numbers . . . . 61 9 Least Common Denominator . . . . . . 67 10 Adding Fractions . . . . . . . . . . . . . . . . . 73 11 Subtracting Fractions . . . . . . . . . . . . . 85 12 Multiplying Fractions . . . . . . . . . . . . . 93 13 Dividing Fractions . . . . . . . . . . . . . . 101 Section 3—Decimal Fractions 14 Decimal System . . . . . . . . . . . . . . . . . 110 14 Decimal System . . . . . . . . . . . . . . . . . 110 15 Converting between Common Fractions and Decimal Fractions . . . 115 16 Adding Decimal Fractions . . . . . . . . 123 17 Subtracting Decimal Fractions . . . . 131 18 Multiplying Decimal Fractions . . . . 139 19 Dividing Decimal Fractions . . . . . . . 147 Section 4—Percent, Ratio, and Proportion 20 Percent and Percentage . . . . . . . . . . 158 21 Ratio and Proportions . . . . . . . . . . . 167 Section 5—Linear Measure 22 Reading Rulers . . . . . . . . . . . . . . . . . 178 22 Reading Rulers . . . . . . . . . . . . . . . . . 178 23 Perimeter and Circumference . . . . . 183 24 Tolerances . . . . . . . . . . . . . . . . . . . . . . 195 25 Vernier Measuring Instruments . . . 201 Section 6—Formulas 26 Equations and Formulas . . . . . . . . . 212 27 Thread Formulas . . . . . . . . . . . . . . . . 217 28 Taper Formulas . . . . . . . . . . . . . . . . . 223 29 Speeds and Feeds . . . . . . . . . . . . . . . 229 30 Spur Gear Calculations . . . . . . . . . . 235 Section 7—Angles 31 Units of Angular Measure . . . . . . . . 242 31 Units of Angular Measure . . . . . . . . 242 32 Basic Math Operations with Angles . . . . . . . . . . . . . . . . . . . . 251 33 Triangles . . . . . . . . . . . . . . . . . . . . . . . 263 34 Right Triangle Trigonometry . . . . . . 269 35 Oblique Triangles . . . . . . . . . . . . . . . 281 Section 8—Powers and Roots 36 Powers . . . . . . . . . . . . . . . . . . . . . . . . 292 36 Powers . . . . . . . . . . . . . . . . . . . . . . . . 292 37 Roots of Numbers . . . . . . . . . . . . . . . 301 Section 9—Area and Volume 38 Area of Polygons . . . . . . . . . . . . . . . . 310 38 Area of Polygons . . . . . . . . . . . . . . . . 310 39 Area of Circles and Circular Segments. . . . . . . . . . . . . . . . . . . . . . . 323 40 Volume of Cubes, Rectangular Solids, and Prisms . . . . . . . . . . . . . . . 331 41 Volume of Cylinders, Cones, and Spheres . . . . . . . . . . . . . . . . . . . . 337 Appendices Appendix A: US Customary to SI Metric Conversions . . . . . . . . . . . . . 345 Appendix B: SI Metric to US Customary Conversions . . . . . . . . . . . . . . . . . . . . . . . 346 Appendix C: Formulas . . . . . . . . . . . . . . . . . 347 Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353 Answers to Odd-Numbered Questions . . . . . . . . . . . . . . . . . . . . . . . . . . 357