四年级数学下册简便计算专项练习

班级：__________ 姓名：__________ 得分：__________

一、加法运算定律（共8题）

1. 运用加法交换律和结合律简便计算：

二、减法运算性质（共8题）

2. 运用减法性质或凑整法简便计算：

三、乘法运算定律（共8题）

3. 运用乘法交换律、结合律或分配律简便计算：

四、除法运算性质（共8题）

4. 运用除法性质或凑整法简便计算：

五、综合简便计算（共8题）

5. 综合运用运算定律和性质简便计算：

参考答案

一、加法运算定律

1. $36 + 48 + 52 + 64 = (36 + 64) + (48 + 52) = 100 + 100 = 200$

2. $125 + 87 + 75 + 113 = (125 + 75) + (87 + 113) = 200 + 200 = 400$

3. $99 + 128 + 101 + 72 = (99 + 101) + (128 + 72) = 200 + 200 = 400$

4. $246 + 387 + 154 + 213 = (246 + 154) + (387 + 213) = 400 + 600 = 1000$

5. $58 + 76 + 42 + 24 + 50 = (58 + 42) + (76 + 24) + 50 = 100 + 100 + 50 = 250$

6. $315 + 208 + 185 + 292 = (315 + 185) + (208 + 292) = 500 + 500 = 1000$

7. $47 + 89 + 53 + 111 = (47 + 53) + (89 + 111) = 100 + 200 = 300$

8. $666 + 234 + 334 + 166 = (666 + 334) + (234 + 166) = 1000 + 400 = 1400$

二、减法运算性质

1. $256 - 89 - 111 = 256 - (89 + 111) = 256 - 200 = 56$

2. $423 - (123 + 150) = 423 - 123 - 150 = 300 - 150 = 150$

3. $1000 - 245 - 355 = 1000 - (245 + 355) = 1000 - 600 = 400$

4. $578 - 199 = 578 - 200 + 1 = 378 + 1 = 379$

5. $734 - 298 = 734 - 300 + 2 = 434 + 2 = 436$

6. $862 - 403 = 862 - 400 - 3 = 462 - 3 = 459$

7. $500 - 127 - 73 = 500 - (127 + 73) = 500 - 200 = 300$

8. $821 - 156 - 244 = 821 - (156 + 244) = 821 - 400 = 421$

三、乘法运算定律

1. $25 \times 17 \times 4 = 25 \times 4 \times 17 = 100 \times 17 = 1700$

2. $125 \times 32 \times 25 = 125 \times (8 \times 4) \times 25 = (125 \times 8) \times (4 \times 25) = 1000 \times 100 = 100000$

3. $8 \times (125 \times 11) = (8 \times 125) \times 11 = 1000 \times 11 = 11000$

4. $56 \times 99 + 56 = 56 \times (99 + 1) = 56 \times 100 = 5600$

5. $78 \times 101 = 78 \times (100 + 1) = 78 \times 100 + 78 \times 1 = 7800 + 78 = 7878$

6. $45 \times 102 = 45 \times (100 + 2) = 45 \times 100 + 45 \times 2 = 4500 + 90 = 4590$

7. $36 \times 25 = 9 \times 4 \times 25 = 9 \times (4 \times 25) = 9 \times 100 = 900$

8. $125 \times 88 = 125 \times 8 \times 11 = 1000 \times 11 = 11000$ 或 $125 \times 88 = 125 \times (80 + 8) = 125 \times 80 + 125 \times 8 = 10000 + 1000 = 11000$

四、除法运算性质

1. $3200 ÷ 25 ÷ 4 = 3200 ÷ (25 \times 4) = 3200 ÷ 100 = 32$

2. $560 ÷ (7 \times 8) = 560 ÷ 7 ÷ 8 = 80 ÷ 8 = 10$

3. $630 ÷ 42 = 630 ÷ (7 \times 6) = 630 ÷ 7 ÷ 6 = 90 ÷ 6 = 15$

4. $1200 ÷ 25 = (1200 \times 4) ÷ (25 \times 4) = 4800 ÷ 100 = 48$

5. $490 ÷ 35 = 490 ÷ (7 \times 5) = 490 ÷ 7 ÷ 5 = 70 ÷ 5 = 14$

6. $1800 ÷ 45 = 1800 ÷ (9 \times 5) = 1800 ÷ 9 ÷ 5 = 200 ÷ 5 = 40$

7. $2700 ÷ (25 \times 4) = 2700 ÷ 100 = 27$

8. $144 ÷ 36 = 144 ÷ (4 \times 9) = 144 ÷ 4 ÷ 9 = 36 ÷ 9 = 4$

五、综合简便计算

1. $25 \times 44 = 25 \times (4 \times 11) = (25 \times 4) \times 11 = 100 \times 11 = 1100$ 或 $25 \times (40 + 4) = 25 \times 40 + 25 \times 4 = 1000 + 100 = 1100$

2. $99 \times 38 + 38 = 38 \times (99 + 1) = 38 \times 100 = 3800$

3. $125 \times 81 - 125 = 125 \times (81 - 1) = 125 \times 80 = 10000$

4. $167 + 289 + 33 = 167 + 33 + 289 = 200 + 289 = 489$

5. $25 \times 36 = 25 \times (4 \times 9) = (25 \times 4) \times 9 = 100 \times 9 = 900$

6. $98 \times 45 = (100 - 2) \times 45 = 100 \times 45 - 2 \times 45 = 4500 - 90 = 4410$

7. $1280 ÷ 16 ÷ 8 = 1280 ÷ (16 \times 8) = 1280 ÷ 128 = 10$

8. $65 + 28 + 35 + 72 = (65 + 35) + (28 + 72) = 100 + 100 = 200$