complete math questions 1 - 18

16 UNIT I Creating the Beam SUMMARY basic review of arithmetic, algebra, and units of mea- of measurement are mass, length, and time. Units of Asurement has been presented. The arithmetic review in- measurement were officially defined on an international cludes fractions, decimals, computation with values, powers of level through the adoption of the SI units. The seven 10, scientific notation, and dimensional analysis. The algebra base SI units are mass, length, time, electric current, review includes signed numbers, order of operation, algebraic temperature, amount of substance, and luminous expressions, exponents, evaluating algebraic expressions, intensity. Radiologically important derived units are the equations, and variation. Both SI and British (U.S. customary) coulomb per kilogram (C/kg), formerly the roentgen (R); units of measurement are introduced. the gray (Gy), formerly the rad (radiation absorbed dose); In order to quantify science, standard units of and the sievert (Sv), formerly the rem (radiation equiva- measurement were established. The fundamental units lent man). The Case of the Mysterious Mammals EX These mammals were Se radiographed in the Deep South. What are they? Answers to the case studies can be found in Appendix B. REVIEW QUESTIONS 5. Change 0.325 to a percent. 6. What are the significant digits of each of the 4 following: 1. 7 2 a. 20.10 2 3 b. 192 2. 9 8 c. 38.04 3. 571.1 - 182.572 = d. 2,700 4. 725 + 0.25 = e. 1,800.004CHAPTER 1 Basic Mathematics 17 7. Add the following numbers, leaving the results with 15. Evaluate the expression for a = 2, b = -4, and c = 6. the correct number of significant digits if each num- 3(a + b) - c ber is assumed to be approximate. a. 2.1 + 2.824 16. Solve for x: 2x - 8 = 4 b. 3.2 + 4.19 17. Solve for x: 2(3x - 8) = 3(4 - x) + 6x 2 _ a 8. Change the following numbers to scientific notation: 18. Solve for a: 3 15 a. 0.0081 b. 7,811.2 REFERENCES c. 0.00024 AND RECOMMENDED d. 78,432 READING 9. Change the following numbers to ordinary notation: a. 3.614 x 102 Aufmann, R. N. (2017). Basic college mathematics: An applied approach (9th ed.). Boston: Brooks Cole. b. 1.876 x 10-4 Burns, J. E. (1979). The new SI units: Problems with conversion c. 1.823 x 103 The Canadian Journal of Radiography, Radiotherapy, an d. 5.67 x 106 Nuclear Medicine, 10(2), 60-70. Dunworth, J. V. (1976). SI units for ionizing radiations. The u 10. Convert 1,500 seconds to hours. of the "gray." Radiography, 42(496), 84. 11. Convert 10 meters to centimeters?. Martin-Gay, K. E. (2014). Prealgebra (7th ed.). London, Unit 12. Simplify the following algebraic expressions: Kingdom: Pearson. The SI for the health profession. (1979). The Canadian Jour a. -3(x + y) + 7(2x + 1 ) of Medical Radiation Technology, 10(4), 138. b. - 4 (x + 2y) - 8(2x - y) Washington, A. J. (2013). Basic technical mathem 13. Simplify the following expressions, leaving the with calculus (10th ed.). Upper Saddle River, Pearson Addison Wesley. answer with only positive exponents: Wyckoff, H. O. (1978). The international system of unit a. a2 . b3 . at . b2 Radiology, 128, 833-835 b . (at ) 3 . (a2 )-3 14. Evaluate the expression for a = 5 and b = 3. * (a2 - b2 )