简便运算100道（专项训练）-2025-2026学年四年级数学上册苏教版

四年级数学简便运算100道 （含答案解析+可打印版） 一、加法交换律与结合律（20道） 1. 25 + 36 + 75 2. 18 + 45 + 55 + 82 3. 37 + 16 + 63 + 84 4. 53 + 29 + 47 + 71 5. 125 + 78 + 75 6. 46 + 38 + 54 + 62 7. 28 + 59 + 72 8. 64 + 27 + 36 + 73 9. 15 + 88 + 85 10. 32 + 49 + 68 + 51 11. 76 + 18 + 24 12. 43 + 56 + 57 + 44 13. 29 + 67 + 71 14. 81 + 35 + 19 + 65 15. 58 + 23 + 42 16. 34 + 66 + 28 + 72 17. 19 + 74 + 81 18. 52 + 39 + 48 + 61 19. 31 + 69 + 45 + 55 20. 47 + 25 + 53 + 75 二、乘法交换律与结合律（20道） 21. 25 × 13 × 4 22. 125 × 7 × 8 23. 25 × 32 × 125 24. 4 × 9 × 25 25. 8 × 25 × 125 26. 15 × 4 × 25 27. 25 × 16 × 5 28. 125 × 32 × 25 29. 5 × 28 × 20 30. 125 × 8 × 37 31. 25 × 4 × 7 32. 8 × 125 × 5 33. 35 × 2 × 5 34. 125 × 16 × 3 35. 25 × 24 × 4 36. 8 × 25 × 40 37. 15 × 6 × 5 38. 125 × 24 × 8 39. 25 × 8 × 4 40. 7 × 125 × 8 三、乘法分配律（20道） 41. (20 + 4) × 25 42. 35 × (100 + 2) 43. 125 × (8 + 80) 44. 48 × (50 + 1) 45. (10 + 8) × 125 46. 29 × 36 + 29 × 64 47. 75 × 23 + 25 × 23 48. 38 × 99 + 38 49. 56 × 101 - 56 50. 123 × 67 - 23 × 67 51. 45 × 102 52. 68 × 99 53. 37 × 101 54. 89 × 99 + 89 55. 72 × 28 + 72 × 72 56. (40 - 4) × 25 57. 101 × 56 - 56 58. 25 × (40 + 8) 59. 99 × 34 + 34 60. 125 × (80 - 8) 四、减法简便运算（15道） 61. 368 - 52 - 48 62. 547 - 239 - 161 63. 726 - (126 + 38) 64. 813 - 256 - 44 65. 435 - (135 + 89) 66. 920 - 143 - 57 67. 634 - 278 - 22 68. 586 - (86 + 127) 69. 753 - 198 - 102 70. 845 - 367 - 33 71. 498 - (98 + 76) 72. 679 - 134 - 266 73. 950 - 267 - 33 74. 521 - (121 + 99) 75. 876 - 289 - 111 五、除法简便运算（15道） 76. 480 ÷ 5 ÷ 12 77. 360 ÷ 24 ÷ 3 78. 720 ÷ (8 × 9) 79. 540 ÷ 18 ÷ 3 80. 420 ÷ 35 ÷ 2 81. 810 ÷ (9 × 5) 82. 630 ÷ 45 ÷ 2 83. 320 ÷ 16 ÷ 2 84. 960 ÷ (8 × 12) 85. 450 ÷ 25 ÷ 2 86. 560 ÷ (7 × 8) 87. 700 ÷ 28 ÷ 25 88. 640 ÷ 16 ÷ 4 89. 800 ÷ (20 × 8) 90. 510 ÷ 3 ÷ 17 六、混合简便运算（10道） 91. 25 × 44 + 75 × 44 92. 125 × 88 - 125 × 8 93. 36 × 25 + 64 × 25 94. 78 × 99 + 78 × 2 95. 45 × (20 + 2) - 90 96. 125 × 32 - 25 × 32 97. 84 × 101 - 84 + 84 × 2 98. 25 × 12 + 25 × 28 99. 72 × 102 - 144 100. 38 × 54 + 38 × 47 - 38 附：答案+解析 一、加法交换律与结合律（20道） 核心公式：a+b=b+a；(a+b)+c=a+(b+c) 1. 25 + 36 + 75 = (25+75)+36 = 100+36 = 136 2. 18 + 45 + 55 + 82 = (18+82)+(45+55) = 100+100 = 200 3. 37 + 16 + 63 + 84 = (37+63)+(16+84) = 100+100 = 200 4. 53 + 29 + 47 + 71 = (53+47)+(29+71) = 100+100 = 200 5. 125 + 78 + 75 = (125+75)+78 = 200+78 = 278 6. 46 + 38 + 54 + 62 = (46+54)+(38+62) = 100+100 = 200 7. 28 + 59 + 72 = (28+72)+59 = 100+59 = 159 8. 64 + 27 + 36 + 73 = (64+36)+(27+73) = 100+100 = 200 9. 15 + 88 + 85 = (15+85)+88 = 100+88 = 188 10. 32 + 49 + 68 + 51 = (32+68)+(49+51) = 100+100 = 200 11. 76 + 18 + 24 = (76+24)+18 = 100+18 = 118 12. 43 + 56 + 57 + 44 = (43+57)+(56+44) = 100+100 = 200 13. 29 + 67 + 71 = (29+71)+67 = 100+67 = 167 14. 81 + 35 + 19 + 65 = (81+19)+(35+65) = 100+100 = 200 15. 58 + 23 + 42 = (58+42)+23 = 100+23 = 123 16. 34 + 66 + 28 + 72 = (34+66)+(28+72) = 100+100 = 200 17. 19 + 74 + 81 = (19+81)+74 = 100+74 = 174 18. 52 + 39 + 48 + 61 = (52+48)+(39+61) = 100+100 = 200 19. 31 + 69 + 45 + 55 = (31+69)+(45+55) = 100+100 = 200 20. 47 + 25 + 53 + 75 = (47+53)+(25+75) = 100+100 = 200 二、乘法交换律与结合律（20道） 核心公式：a×b=b×a；(a×b)×c=a×(b×c) 21. 25 × 13 × 4 = (25×4)×13 = 100×13 = 1300 22. 125 × 7 × 8 = (125×8)×7 = 1000×7 = 7000 23. 25 × 32 × 125 = (25×4)×(8×125) = 100×1000 = 100000（32拆成4×8） 24. 4 × 9 × 25 = (4×25)×9 = 100×9 = 900 25. 8 × 25 × 125 = (8×125)×25 = 1000×25 = 25000 26. 15 × 4 × 25 = 15×(4×25) = 15×100 = 1500 27. 25 × 16 × 5 = (25×4)×(4×5) = 100×20 = 2000（16拆成4×4） 28. 125 × 32 × 25 = (125×8)×(4×25) = 1000×100 = 100000（32拆成8×4） 29. 5 × 28 × 20 = (5×20)×28 = 100×28 = 2800 30. 125 × 8 × 37 = (125×8)×37 = 1000×37 = 37000 31. 25 × 4 × 7 = (25×4)×7 = 100×7 = 700 32. 8 × 125 × 5 = (8×125)×5 = 1000×5 = 5000 33. 35 × 2 × 5 = 35×(2×5) = 35×10 = 350 34. 125 × 16 × 3 = (125×8)×(2×3) = 1000×6 = 6000（16拆成8×2） 35. 25 × 24 × 4 = (25×4)×24 = 100×24 = 2400 36. 8 × 25 × 40 = (8×40)×25 = 320×25 = 8000 37. 15 × 6 × 5 = (15×5)×6 = 75×6 = 450 38. 125 × 24 × 8 = (125×8)×24 = 1000×24 = 24000 39. 25 × 8 × 4 = (25×4)×8 = 100×8 = 800 40. 7 × 125 × 8 = 7×(125×8) = 7×1000 = 7000 三、乘法分配律（20道） 核心公式：(a+b)×c=a×c+b×c；a×c+b×c=(a+b)×c 41. (20 + 4) × 25 = 20×25 + 4×25 = 500 + 100 = 600 42. 35 × (100 + 2) = 35×100 + 35×2 = 3500 + 70 = 3570 43. 125 × (8 + 80) = 125×8 + 125×80 = 1000 + 10000 = 11000 44. 48 × (50 + 1) = 48×50 + 48×1 = 2400 + 48 = 2448 45. (10 + 8) × 125 = 10×125 + 8×125 = 1250 + 1000 = 2250 46. 29 × 36 + 29 × 64 = 29×(36+64) = 29×100 = 2900 47. 75 × 23 + 25 × 23 = (75+25)×23 = 100×23 = 2300 48. 38 × 99 + 38 = 38×(99+1) = 38×100 = 3800 49. 56 × 101 - 56 = 56×(101-1) = 56×100 = 5600 50. 123 × 67 - 23 × 67 = (123-23)×67 = 100×67 = 6700 51. 45 × 102 = 45×(100+2) = 45×100 + 45×2 = 4500 + 90 = 4590 52. 68 × 99 = 68×(100-1) = 68×100 - 68×1 = 6800 - 68 = 6732 53. 37 × 101 = 37×(100+1) = 37×100 + 37×1 = 3700 + 37 = 3737 54. 89 × 99 + 89 = 89×(99+1) = 89×100 = 8900 55. 72 × 28 + 72 × 72 = 72×(28+72) = 72×100 = 7200 56. (40 - 4) × 25 = 40×25 - 4×25 = 1000 - 100 = 900 57. 101 × 56 - 56 = 56×(101-1) = 56×100 = 5600 58. 25 × (40 + 8) = 25×40 + 25×8 = 1000 + 200 = 1200 59. 99 × 34 + 34 = 34×(99+1) = 34×100 = 3400 60. 125 × (80 - 8) = 125×80 - 125×8 = 10000 - 1000 = 9000 四、减法简便运算（15道） 核心公式：a-b-c=a-(b+c)；a-(b+c)=a-b-c 61. 368 - 52 - 48 = 368-(52+48) = 368-100 = 268 62. 547 - 239 - 161 = 547-(239+161) = 547-400 = 147 63. 726 - (126 + 38) = 726-126-38 = 600-38 = 562 64. 813 - 256 - 44 = 813-(256+44) = 813-300 = 513 65. 435 - (135 + 89) = 435-135-89 = 300-89 = 211 66. 920 - 143 - 57 = 920-(143+57) = 920-200 = 720 67. 634 - 278 - 22 = 634-(278+22) = 634-300 = 334 68. 586 - (86 + 127) = 586-86-127 = 500-127 = 373 69. 753 - 198 - 102 = 753-(198+102) = 753-300 = 453 70. 845 - 367 - 33 = 845-(367+33) = 845-400 = 445 71. 498 - (98 + 76) = 498-98-76 = 400-76 = 324 72. 679 - 134 - 266 = 679-(134+266) = 679-400 = 279 73. 950 - 267 - 33 = 950-(267+33) = 950-300 = 650 74. 521 - (121 + 99) = 521-121-99 = 400-99 = 301 75. 876 - 289 - 111 = 876-(289+111) = 876-400 = 476 五、除法简便运算（15道） 核心公式：a÷b÷c=a÷(b×c)；a÷(b×c)=a÷b÷c 76. 480 ÷ 5 ÷ 12 = 480÷(5×12) = 480÷60 = 8 77. 360 ÷ 24 ÷ 3 = 360÷(24×3) = 360÷72 = 5 78. 720 ÷ (8 × 9) = 720÷8÷9 = 90÷9 = 10 79. 540 ÷ 18 ÷ 3 = 540÷(18×3) = 540÷54 = 10 80. 420 ÷ 35 ÷ 2 = 420÷(35×2) = 420÷70 = 6 81. 810 ÷ (9 × 5) = 810÷9÷5 = 90÷5 = 18 82. 630 ÷ 45 ÷ 2 = 630÷(45×2) = 630÷90 = 7 83. 320 ÷ 16 ÷ 2 = 320÷(16×2) = 320÷32 = 10 84. 960 ÷ (8 × 12) = 960÷8÷12 = 120÷12 = 10 85. 450 ÷ 25 ÷ 2 = 450÷(25×2) = 450÷50 = 9 86. 560 ÷ (7 × 8) = 560÷7÷8 = 80÷8 = 10 87. 700 ÷ 28 ÷ 25 = 700÷(28×25) = 700÷700 = 1 88. 640 ÷ 16 ÷ 4 = 640÷(16×4) = 640÷64 = 10 89. 800 ÷ (20 × 8) = 800÷8÷20 = 100÷20 = 5 90. 510 ÷ 3 ÷ 17 = 510÷(3×17) = 510÷51 = 10 六、混合简便运算（10道） 91. 25 × 44 + 75 × 44 = (25+75)×44 = 100×44 = 4400 92. 125 × 88 - 125 × 8 = 125×(88-8) = 125×80 = 10000 93. 36 × 25 + 64 × 25 = (36+64)×25 = 100×25 = 2500 94. 78 × 99 + 78 × 2 = 78×(99+2) = 78×101 = 7878（101拆成100+1） 95. 45 × (20 + 2) - 90 = 45×20 + 45×2 - 90 = 900 + 90 - 90 = 900 96. 125 × 32 - 25 × 32 = (125-25)×32 = 100×32 = 3200 97. 84 × 101 - 84 + 84 × 2 = 84×(101-1+2) = 84×102 = 8568 98. 25 × 12 + 25 × 28 = 25×(12+28) = 25×40 = 1000 99. 72 × 102 - 144 = 72×102 - 72×2 = 72×(102-2) = 72×100 = 7200 100. 38 × 54 + 38 × 47 - 38 = 38×(54+47-1) = 38×100 = 3800 学科网（北京）股份有限公司 $