答案:
1. (25×37×4 = 25×4×37 = 100×37 = 3700)
2. (56 + 78 + 44 = (56 + 44)+78 = 100 + 78 = 178)
3. (99×45 + 45 = 45×(99 + 1)=45×100 = 4500)
4. (45×102 = 45×(100 + 2)=45×100+45×2 = 4500 + 90 = 4590)
5. (378 – 67 – 33 = 378-(67 + 33)=378 – 100 = 278)
6. (25×(40 + 4)=25×40 + 25×4 = 1000 + 100 = 1100)
7. (125×(80 – 8)=125×80 – 125×8 = 10000 – 1000 = 9000)
8. (648 – 203 = 648-(200 + 3)=648 – 200 – 3 = 448 – 3 = 445)
9. (35×99 = 35×(100 – 1)=35×100 – 35×1 = 3500 – 35 = 3465)
10. (23×134 – 34×23 = 23×(134 – 34)=23×100 = 2300)
11. (456 + 203 = 456+(200 + 3)=456 + 200 + 3 = 656 + 3 = 659)
12. (78×99 + 78 = 78×(99 + 1)=78×100 = 7800)
13. (101×78 – 78=(101 – 1)×78 = 100×78 = 7800) 14. (36×25 = 9×4×25 = 9×(4×25)=9×100 = 900) 15. (45×8 + 55×8=(45 + 55)×8 = 100×8 = 800) 16. (345-(145 + 78)=345 – 145 – 78 = 200 – 78 = 122) 17. (234 + 98 = 234+(100 – 2)=234 + 100 – 2 = 334 – 2 = 332) 18. (34×101 = 34×(100 + 1)=34×100 + 34×1 = 3400 + 34 = 3434) 19. (72×125 = 9×8×125 = 9×(8×125)=9×1000 = 9000) 20. (25×32×125 = 25×4×8×125=(25×4)×(8×125)=100×1000 = 100000) 21. (99×38 + 38 = 38×(99 + 1)=38×100 = 3800) 22. (45×999 = 45×(1000 – 1)=45×1000 – 45×1 = 45000 – 45 = 44955) 23. (567 – 198 = 567-(200 – 2)=567 – 200 + 2 = 367 + 2 = 369) 24. (67×102 – 134 = 67×102 – 67×2 = 67×(102 – 2)=67×100 = 6700) 25. (34×98 = 34×(100 – 2)=34×100 – 34×2 = 3400 – 68 = 3332) 26. (45×7 + 55×7=(45 + 55)×7 = 100×7 = 700) 27. (234-(34 + 56)=234 – 34 – 56 = 200 – 56 = 144) 28. (125×88 = 125×8×11 = 1000×11 = 11000) 29. (98×45=(100 – 2)×45 = 100×45 – 2×45 = 4500 – 90 = 4410) 30. (78×101 – 78 = 78×(101 – 1)=78×100 = 7800) 31. (456 – 99 = 456-(100 – 1)=456 – 100 + 1 = 356 + 1 = 357) 32. (34×102 – 68 = 34×102 – 34×2 = 34×(102 – 2)=34×100 = 3400) 33. (67×99 + 67 = 67×(99 + 1)=67×100 = 6700) 34. (25×44 = 25×4×11 = 100×11 = 1100) 35. (56×101 = 56×(100 + 1)=56×100 + 56×1 = 5600 + 56 = 5656) 36. (89×99 = 89×(100 – 1)=89×100 – 89×1 = 8900 – 89 = 8811) 37. (45×199 = 45×(200 – 1)=45×200 – 45×1 = 9000 – 45 = 8955) 38. (345 + 199 = 345+(200 – 1)=345 + 200 – 1 = 545 – 1 = 544) 39. (76×102 = 76×(100 + 2)=76×100 + 76×2 = 7600 + 152 = 7752) 40. (25×79 + 25 = 25×(79 + 1)=25×80 = 2000) 41. (678 – 302 = 678-(300 + 2)=678 – 300 – 2 = 378 – 2 = 376) 42. (99×56 + 56 = 56×(99 + 1)=56×100 = 5600) 43. (45×103 = 45×(100 + 3)=45×100 + 45×3 = 4500 + 135 = 4635) 44. (34×99 = 34×(100 – 1)=34×100 – 34×1 = 3400 – 34 = 3366) 45. (23×125×8 = 23×(125×8)=23×1000 = 23000) 46. (567 + 201 = 567+(200 + 1)=567 + 200 + 1 = 767 + 1 = 768) 47. (78×999 + 78 = 78×(999 + 1)=78×1000 = 78000) 48. (102×67 – 134 = 102×67 – 67×2=(102 – 2)×67 = 100×67 = 6700) 49. (36×98 = 36×(100 – 2)=36×100 – 36×2 = 3600 – 72 = 3528) 50. (45×6 + 55×6=(45 + 55)×6 = 100×6 = 600) 51. (234-(45 + 55)=234 – 100 = 134) 52. (125×72 = 125×8×9 = 1000×9 = 9000) 53. (97×45=(100 – 3)×45 = 100×45 – 3×45 = 4500 – 135 = 4365) 54. (78×102 – 156 = 78×102 – 78×2 = 78×(102 – 2)=78×100 = 7800) 55. (34×97 = 34×(100 – 3)=34×100 – 34×3 = 3400 – 102 = 3298) 56. (45×5 + 55×5=(45 + 55)×5 = 100×5 = 500) 57. (235-(35 + 67)=235 – 35 – 67 = 200 – 67 = 133) 58. (125×64 = 125×8×8 = 1000×8 = 8000) 59. (96×45=(100 – 4)×45 = 100×45 – 4×45 = 4500 – 180 = 4320) 60. (78×103 – 234 = 78×103 – 78×3=(103 – 3)×78 = 100×78 = 7800) 61. (457 – 101 = 457-(100 + 1)=457 – 100 – 1 = 357 – 1 = 356) 62. (34×103 – 68 = 34×103 – 34×2 = 34×(103 – 2)=34×101 = 34×(100 + 1)=34×100 + 34×1 = 3400 + 34 = 3434) 63. (69×99 + 69 = 69×(99 + 1)=69×100 = 6900) 64. (25×52 = 25×4×13 = 100×13 = 1300) 65. (58×101 = 58×(100 + 1)=58×100 + 58×1 = 5800 + 58 = 5858) 66. (88×99 = 88×(100 – 1)=88×100 – 88×1 = 8800 – 88 = 8712) 67. (47×199 = 47×(200 – 1)=47×200 – 47×1 = 9400 – 47 = 9353) 68. (347 + 198 = 347+(200 – 2)=347 + 200 – 2 = 547 – 2 = 545) 69. (78×102 = 78×(100 + 2)=78×100 + 78×2 = 7800 + 156 = 7956) 70. (25×83 + 25 = 25×(83 + 1)=25×84 = 25×4×21 = 100×21 = 2100) 71. (689 – 301 = 689-(300 + 1)=689 – 300 – 1 = 389 – 1 = 388) 72. (99×57 + 57 = 57×(99 + 1)=57×100 = 5700) 73. (46×104 = 46×(100 + 4)=46×100 + 46×4 = 4600 + 184 = 4784) 74. (35×99 = 35×(100 – 1)=35×100 – 35×1 = 3500 – 35 = 3465) 75. (24×125×8 = 24×(125×8)=24×1000 = 24000) 76. (578 + 202 = 578 + 200 + 2 = 778 + 2 = 780) 77. (79×999 + 79 = 79×(999 + 1)=79×1000 = 79000) 78. (103×68 – 206 = 103×68 – 68×3=(103 – 3)×68 = 100×68 = 6800) 79. (37×98 = 37×(100 – 2)=37×100 – 37×2 = 3700 – 74 = 3626) 80. (46×7 + 54×7=(46 + 54)×7 = 100×7 = 700) 81. (236-(46 + 54)=236 – 100 = 136) 82. (125×76 = 125×4×19 = 500×19 = 9500) 83. (95×45=(100 – 5)×45 = 100×45 – 5×45 = 4500 – 225 = 4275) 84. (79×102 – 158 = 79×102 – 79×2 = 79×(102 – 2)=79×100 = 7900) 85. (35×96 = 35×(100 – 4)=35×100 – 35×4 = 3500 – 140 = 3360)
86. (46×4 + 54×4=(46 + 54)×4=100×4 = 400) 87. (237-(37 + 68)=237 – 37 – 68=200 – 68 = 132) 88. (125×68=125×4×17=500×17 = 8500) 89. (94×45=(100 – 6)×45=100×45 – 6×45=4500 – 270 = 4230) 90. (79×104 – 316=79×104 – 79×4=79×(104 – 4)=79×100 = 7900) 91. (458 – 102=458-(100 + 2)=458 – 100 – 2=358 – 2 = 356) 92. (35×104 – 70=35×104 – 35×2=35×(104 – 2)=35×102=35×(100 + 2)=35×100 + 35×2=3500 + 70 = 3570) 93. (69×99 + 69=69×(99 + 1)=69×100 = 6900) 94. (25×56=25×4×14=100×14 = 1400) 95. (58×101=58×(100 + 1)=58×100 + 58×1=5800 + 58 = 5858) 96. (87×99=87×(100 – 1)=87×100 – 87×1=8700 – 87 = 8613) 97. (47×199=47×(200 – 1)=47×200 – 47×1=9400 – 47 = 9353) 98. (347 + 197=347+(200 – 3)=347 + 200 – 3=547 – 3 = 544) 99. (78×102=78×(100 + 2)=78×100 + 78×2=7800 + 156 = 7956) 100. (25×83 + 25=25×(83 + 1)=25×84=25×4×21=100×21 = 2100)