By Korzyuk V. I.

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**Additional info for A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave Operator**

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What is 69,379 less than 70,004? 625 ᭤ 88. What is 25,432 decreased by 7994? 17,438 89. What is 86,701 decreased by 9976? 76,725 22 CHAPTER 1 • Whole Numbers For Exercises 90 to 93, use the relationship between addition and subtraction to complete the statement. ᭤ 90. ___ ϩ 39 ϭ 104 65 91. 67 ϩ ___ ϭ 90 23 ᭤ 92. ___ ϩ 497 ϭ 862 365 253 ϩ ___ ϭ 4901 93. 4648 For Exercises 94 to 99, use a calculator to subtract. Then round the numbers to the nearest ten-thousand and use estimation to determine whether the difference is reasonable.

926 Tens 43. 845 850 930 45. 3973 4000 ᭤ Hundreds 48. 389,702 390,000 Thousands 51. 253,678 250,000 Ten-thousands ᭤ 46. 43,607 44,000 Thousands 49. 629,513 630,000 ᭤ ᭤ Tens 52. 36,702,599 37,000,000 Thousands Millions 44. 1439 1400 47. 52,715 53,000 ᭤ Hundreds Thousands 50. 647,989 650,000 Ten-thousands 53. 71,834,250 72,000,000 Millions 54. True or false? If a number rounded to the nearest ten is less than the original number, then the ones digit of the original number is greater than 5. False Quick Quiz Applying the Concepts ᭤ 55.

Five b. 2 B. one c. 5 C. zero d. 1 D. four e. 3 E. two f. 0 F. 1 Introduction to Whole Numbers OBJECTIVE A To identify the order relation between two numbers The whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, . . The three dots mean that the list continues on and on and that there is no largest whole number. Just as distances are associated with the markings on the edge of a ruler, the whole numbers can be associated with points on a line. This line is called the number line.

### A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave Operator by Korzyuk V. I.

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