Basic Engineering Mathematics, Fifth Edition

8 Basic Engineering Mathematics Now try the following Practice Exercise PracticeExercise 4 Further problems on order of preceden ...

Chapter 2 Fractions 2.1 Introduction A mark of 9 out of 14 in an examination may be writ- ten as 9 14 or 9/14. 9 14 is an exampl ...

10 Basic Engineering Mathematics The quick way to change 5 3 4 into an improper fraction is 4 × 5 + 3 4 = 23 4 . (b) 1 7 9 = 9 × ...

Fractions 11 (iv) Hence, 3 4 − 7 16 = 12 16 − 7 16 = 5 16 − = Problem 6. Simplify 4 2 3 − 1 1 6 4 2 3 − 1 1 6 is the same as ( 4 ...

12 Basic Engineering Mathematics 2.3 Multiplication and division of fractions 2.3.1 Multiplication To multiply two or more fract ...

Fractions 13 Mixednumbersmust beexpressedas improperfractions before multiplication and division can be performed: 3 2 3 × 1 3 4 ...

14 Basic Engineering Mathematics = 10 40 − 55 40 + 36 40 = 10 − 55 + 36 40 (A/S) =− 9 40 Problem 19. Simplify 2 1 2 − ( 2 5 + 3 ...

Revision Test 1 : Basic arithmetic andfractions This assignment covers the material contained in Chapters 1 and 2.The marks avai ...

Chapter 3 Decimals 3.1 Introduction The decimal system of numbers is based on the digits 0to9. Thereareanumberofeverydayoccurren ...

Decimals 17 Problem 3. Express 7 8 as a decimal fraction To convert a proper fraction to a decimal fraction, the numerator is di ...

18 Basic Engineering Mathematics For example, 3 3 16 = 3 .1825 is a terminating decimal A number which cannot be expressed exact ...

Decimals 19 (iv) 4+1(carried)=5. Place the 5 in the hundreds column. Hence, 46. 8 + 3. 06 + 2. 4 + 0. 09 = 52. 35 = 52. 4 ,corre ...

20 Basic Engineering Mathematics Problem 10. Evaluate 37. 6 × 5. 4 376 × 54 1504 18800 20304 (i) 376× 54 =20304. (ii) As there a ...

Decimals 21 Evaluate 167. 4 × 2. 3 Evaluate 342. 6 × 1. 7 Evaluate 548. 28 ÷ 1. 2 Evaluate 478. 3 ÷ 1 .1, correct to 5 signific ...

Chapter 4 Using a calculator 4.1 Introduction In engineering, calculations often need to be performed. For simple numbers it is ...

Using a calculator 23 Figure 4.1A Casio fx-83ES calculator Now try the following Practice Exercise PracticeExercise 12 Addition, ...

24 Basic Engineering Mathematics (iii) Press Shift and=and the answer 0.0289 appears. (iv) Press the ENG function and the answer ...

Using a calculator 25 (iii) Press 6 and 2. 46 appears on the screen. (iv) The cursor now needs to be moved; this is achieved by ...

26 Basic Engineering Mathematics Evaluate √ 34528correct to2decimal places. Evaluate √ 0 .69 correct to 4 significant figure ...

Using a calculator 27 Now try the following Practice Exercise PracticeExercise 16 Fractions (answerson page 341) Evaluate 4 5 ...