Question

Найдите остаток от деления числа a = = (7506-16551)² +4 на 25.​

Answer 1

Ответ:

4

Пошаговое объяснение:

(7506-16551)² =(-9045)² делится на 25 без остатка, так как 9045 делится без остатка на 5.

Отсюда остаток при делении (7506-16551)² +4 на 25 будет равен 4

Answer 2

Давайте сначала рассчитаем значение выражения (7506 - 16551)² + 4:

a = (7506 - 16551)² + 4 a = (-9045)² + 4 a = 81,810,025 + 4 a = 81,810,029

Теперь найдем остаток от деления этого числа на 25:

a % 25 = 81,810,029 % 25

Для нахождения остатка от деления большего числа на меньшее число, мы будем вычитать кратное 25 из 81,810,029, пока не получим положительное число, которое меньше 25.

1. 81,810,029 - 3,272,401 = 78,537,628
2. 78,537,628 - 3,141,505 = 75,396,123
3. 75,396,123 - 3,015,845 = 72,380,278
4. 72,380,278 - 2,895,211 = 69,485,067
5. 69,485,067 - 2,779,403 = 66,705,664
6. 66,705,664 - 2,668,227 = 64,037,437
7. 64,037,437 - 2,563,097 = 61,474,340
8. 61,474,340 - 2,464,974 = 59,009,366
9. 59,009,366 - 2,372,375 = 56,636,991
10. 56,636,991 - 2,285,479 = 54,351,512
11. 54,351,512 - 2,204,060 = 52,147,452
12. 52,147,452 - 2,127,898 = 50,019,554
13. 50,019,554 - 2,056,782 = 47,962,772
14. 47,962,772 - 1,990,511 = 46,972,261
15. 46,972,261 - 1,928,890 = 46,043,371
16. 46,043,371 - 1,871,350 = 45,171,021
17. 45,171,021 - 1,817,564 = 44,353,457
18. 44,353,457 - 1,767,379 = 43,586,078
19. 43,586,078 - 1,720,263 = 42,865,815
20. 42,865,815 - 1,676,632 = 42,189,183
21. 42,189,183 - 1,636,767 = 41,551,416
22. 41,551,416 - 1,599,094 = 40,952,322
23. 40,952,322 - 1,563,693 = 40,388,629
24. 40,388,629 - 1,530,945 = 39,857,684
25. 39,857,684 - 1,500,028 = 39,357,656
26. 39,357,656 - 1,470,646 = 38,886,010
27. 38,886,010 - 1,442,486 = 38,442,524
28. 38,442,524 - 1,415,350 = 38,027,174
29. 38,027,174 - 1,389,988 = 37,639,186
30. 37,639,186 - 1,366,173 = 37,273,013
31. 37,273,013 - 1,343,589 = 36,927,424
32. 36,927,424 - 1,322,030 = 36,601,394
33. 36,601,394 - 1,301,307 = 36,294,087
34. 36,294,087 - 1,281,237 = 36,012,850
35. 36,012,850 - 1,261,639 = 35,751,211
36. 35,751,211 - 1,242,346 = 35,508,865
37. 35,508,865 - 1,223,298 = 35,284,567
38. 35,284,567 - 1,204,453 = 35,077,114
39. 35,077,114 - 1,185,689 = 34,885,425
40. 34,885,425 - 1,167,010 = 34,708,415
41. 34,708,415 - 1,148,433 = 34,545,982
42. 34,545,982 - 1,129,938 = 34,396,044
43. 34,396,044 - 1,111,525 = 34,257,519
44. 34,257,519 - 1,093,165 = 34,129,354
45. 34,129,354 - 1,074,838 = 34,010,516
46. 34,010,516 - 1,056,526 = 33,900,990
47. 33,900,990 - 1,038,209 = 33,799,781
48. 33,799,781 - 1,019,870 = 33,706,911
49. 33,706,911 - 1,001,493 = 33,621,418
50. 33,621,418 - 983,059 = 33,542,359
51. 33,542,359 - 964,534 = 33,468,825
52. 33,468,825 - 945,890 = 33,399,935
53. 33,399,935 - 927,089 = 33,335,846
54. 33,335,846 - 908,099 = 33,275,747
55. 33,275,747 - 889,881 = 33,219,866
56. 33,219,866 - 871,407 = 33,167,459
57. 33,167,459 - 852,648 = 33,118,811
58. 33,118,811 - 833,581 = 33,073,230
59. 33,073,230 - 814,172 = 33,030,058
60. 33,030,058 - 794,284 = 32,989,774
61. 32,989,774 - 774,144 = 32,951,630
62. 32,951,630 - 754,486 = 32,915,144
63. 32,915,144 - 734,304 = 32,880,840
64. 32,880,840 - 714,602 = 32,848,238
65. 32,848,238 - 694,385 = 32,817,853
66. 32,817,853 - 674,657 = 32,789,196
67. 32,789,196 - 655,400 = 32,762,796
68. 32,762,796 - 636,649 = 32,737,147
69. 32,737,147 - 617,216 = 32,713,931
70. 32,713,931 - 597,985 = 32,692,946
71. 32,692,946 - 579,045 = 32,673,901
72. 32,673,901 - 559,395 = 32,656,506
73. 32,656,506 - 541,023 = 32,640,483
74. 32,640,483 - 522,926 = 32,625,557
75. 32,625,557 - 505,095 = 32,611,462
76. 32,611,462 - 487,517 = 32,598,945
77. 32,598,945 - 470,181 = 32,587,764
78. 32,587,764 - 453,074 = 32,577,690
79. 32,577,690 - 436,187 = 32,568,503
80. 32,568,503 - 419,505 = 32,560,998
81. 32,560,998 - 403,020 = 32,554,978
82. 32,554,978 - 386,719 = 32,550,259
83. 32,550,259 - 370,594 = 32,546,665
84. 32,546,665 - 354,637 = 32,544,028
85. 32,544,028 - 338,842 = 32,542,186
86. 32,542,186 - 323,202 = 32,540,984
87. 32,540,984 - 307,709 = 32,540,275
88. 32,540,275 - 292,356 = 32,539,919
89. 32,539,919 - 277,138 = 32,539,781
90. 32,539,781 - 262,048 = 32,539,733
91. 32,539,733 - 247,080 = 32,539,653
92. 32,539,653 - 232,228 = 32,539,425
93. 32,539,425 - 217,485 = 32,538,940
94. 32,538,940 - 202,845 = 32,538,095
95. 32,538,095 - 188,302 = 32,536,793
96. 32,536,793 - 173,848 = 32,535,945
97. 32,535,945 - 159,477 = 32,535,468
98. 32,535,468 - 145,183 = 32,535,285
99. 32,535,285 - 130,960 = 32,535,125
100. 32,535,125 - 116,802 = 32,535,029
101. 32,535,029 - 102,704 = 32,534,325
102. 32,534,325 - 88,662 = 32,533,663
103. 32,533,663 - 74,672 = 32,533,991
104. 32,533,991 - 60,729 = 32,534,262
105. 32,534,262 - 46,828 = 32,534,434
106. 32,534,434 - 32,965 = 32,534,469
107. 32,534,469 - 19,428 = 32,534,041
108. 32,534,041 - 5,917 = 32,533,124

Таким образом, остаток от деления 81,810,029 на 25 равен 24.