Technical Mathematics, Sixth Edition

1.10. CHAPTER 1 REVIEW PROBLEMS

1. Combine: 1.435 − 7.21 + 93.24 − 4.1116 83.35

2. Give the number of significant digits in:

   1. 9.886 4

   2. 1.002 4

   3. 0.3500 4

   4. 15,000 2

   Note that all the chapter review problems are scrambled as to type and difficulty.

3. Multiply: 21.8(3.775 × 1.07) 88.1

4. Divide: 88.25 ÷ 9.15 9.64

5. Find the reciprocal of 2.89. 0.346

6. Evaluate: −|−4 + 2|−|−9 − 7|+5 −13

7. Evaluate: (9.73)² 94.7

8. Evaluate: (7.75)⁻² 0.0166

9. Evaluate: 5.46

10. Evaluate: (123)(2.75) − (81.2)(3.24) 75.2

11. Evaluate: (91.2 − 88.6)² 6.8

12. Evaluate: 6.27

13. Evaluate: y = 3x² − 2x when x = −2.88 30.6

14. Evaluate: y = 2ab − 3bc + 4ac when a = 5, b = 2, and c = −6 −64

15. Evaluate: y = 2x − 3w + 5z when x = 7.72, w = 3.14, and z = 2.27 17.4

16. Round to two decimal places.

    1. 7.977 7.98

    2. 4.655 4.66

    3. 11.845 11.84

    4. 1.004 1.00

17. Round to three significant digits.

    1. 179.2 179

    2. 1.076 1.08

    3. 4.8550 4.86

    4. 45,725 45,700

18. A news report states that a new hydroelectric generating station will produce 47 million kWh/yr and that this power, for 20 years of operation, is equivalent to 2.0 million barrels of oil. Using these figures, how many kilowatt-hours is each barrel of oil equivalent to? 470 kWh

19. A certain generator has a power input of 2.50 hp and delivers 1310 W. Find its percent efficiency. 70.2%

20. Use the equation, , find the stress σ, in pounds per square inch, for a force P of 1.17 × 10³