四年级上册数学竖式计算题大全
四年级上册数学作为一门普遍存在于日常生活中的学科,不仅是一种学科,更是一项必备的技能。无论是解决日常的购物账单还是面临复杂的工程项目,数学的应用无处不在。在这篇文章中,我们将探讨一系列关于数学的问题,包括竖式乘法、除法、简便计算和混合运算。通过这些练习,我们可以加深对数学运算的理解,提高解决问题的能力,同时也能够更好地应对现实生活中的数学挑战。

一、竖式:三位数乘两位数
135
× 45
------
675
×540
------
6075
108
× 25
------
540
216
------
2700
54
× 312
------
216
162
------
16848
47
× 210
------
282
94
------
9870
138
× 54
------
276
1104
------
7452
126
× 89
------
1008
1134
------
11114
203
× 32
------
406
608
------
6496
312
× 25
------
936
312
------
7800
437
× 28
------
1216
3496
------
12236
82
× 403
------
328
328
------
33046
208
× 24
------
416
1664
------
4992
36
× 137
------
324
108
------
4932
406
× 23
------
812
812
------
9358
460
× 23
------
920
3680
------
10580
305
× 56
------
1525
1525
------
17080
624
× 78
------
312
4374
------
48720
46
× 589
------
2774
1388
------
27094
353
× 56
------
1988
1765
------
19768
45
× 240
------
180
0
------
10800
479
× 85
------
4075
3593
------
40715
二、竖式:三位数除以两位数、验算
336 ÷ 21 = 16
336 = 16 × 21
858 ÷ 39 = 22
858 = 22 × 39
918 ÷ 27 = 34
918 = 34 × 27
888 ÷ 37 = 24
888 = 24 × 37
645 ÷ 32 = 20
645 = 20 × 32
432 ÷ 46 = 9
432 = 9 × 46
966 ÷ 23 = 42
966 = 42 × 23
731 ÷ 79 = 9
731 = 9 × 79
980 ÷ 28 = 35
980 = 35 × 28
828 ÷ 36 = 23
828 = 23 × 36
689 ÷ 34 = 20
689 = 20 × 34
618 ÷ 88 = 7
618 = 7 × 88
372 ÷ 45 = 8
372 = 8 × 45
294 ÷ 29 = 10
294 = 10 × 29
328 ÷ 42 = 7
328 = 7 × 42
395 ÷ 56 = 7
395 = 7 × 56
765 ÷ 74 = 10
765 = 10 × 74
840 ÷ 35 = 24
840 = 24 × 35
630 ÷ 31 = 20
630 = 20 × 31
961 ÷ 19 = 51
961 = 51 × 19
三、简便计算
加法交换结合律:
48 + 25 + 175 = 248
578 + 143 + 22 + 57 = 800
128 + 89 + 72 = 289
357 + 288 + 143 = 788
129 + 235 + 171 + 165 = 700
378 + 527 + 73 = 978
167 + 289 + 33 = 489
58 + 39 + 42 + 61 = 200
75 + 34 + 125 + 366 = 600
125 + 75 + 320 = 520
153 + 38 + 162 = 353
163 + 32 + 137 + 268 = 600
158 + 395 + 105 = 658
822 + 197 + 78 = 1097
乘法交换结合律(一):
25 × 125 × 32 = 100000
(15 × 25) × 4 = 1500
38 × 25 × 4 = 3800
35 × 2 × 5 = 350
(60 × 25) × 4 = 6000
(125 × 5) × 8 = 5000
25 × 17 × 4 = 1700
(25 × 125) × (8 × 4) = 125000
38 × 125 × 8 × 3 = 114000
5 × 289 × 2 = 2890
125 × 5 × 8 × 2 = 8000
9 × 8 × 125 = 9000
43 × 25 × 4 = 4300
125 × 50 × 2 = 12500
42 × 125 × 8 = 42000
60 × 25 × 4 = 6000
125 × 5 × 8 = 5000
25 × 17 × 4 = 1700
37 × 8 × 125 = 37000
乘法交换结合律(二):
125 × 32 = 4000
24 × 125 = 3000
125 × 56 = 7000
125 × 72 = 9000
125 × 16 = 2000
48 × 125 = 6000
125 × 64 = 8000
25 × 36 = 900
25 × 32 = 800
25 × 16 = 400
乘法分配律(一):
34 × 72 + 34 × 28 = 34 × (72 + 28) = 34 × 100 = 3400
7 × 48 + 7 × 52 = 7 × (48 + 52) = 7 × 100 = 700
35 × 37 + 65 × 37 = (35 + 65) × 37 = 100 × 37 = 3700
85 × 82 + 82 × 15 = 85 × (82 + 15) = 85 × 97 = 8245
25 × 97 + 25 × 3 = 25 × (97 + 3) = 25 × 100 = 2500
76 × 25 + 25 × 24 = 25 × (76 + 24) = 25 × 100 = 2500
16 × 17 + 16 × 23 = 16 × (17 + 23) = 16 × 40 = 640
27 × 36 + 27 × 64 = 27 × (36 + 64) = 27 × 100 = 2700
73 × 36 + 36 × 27 = 36 × (73 + 27) = 36 × 100 = 3600
64 × 23 + 36 × 23 = 23 × (64 + 36) = 23 × 100 = 2300
43 × 36 + 57 × 36 = (43 + 57) × 36 = 100 × 36 = 3600
19 × 67 + 19 × 33 = 19 × (67 + 33) = 19 × 100 = 1900
57 × 35 + 43 × 35 = (57 + 43) × 35 = 100 × 35 = 3500
18 × 72 + 72 × 18 = 18 × (72 + 72) = 18 × 144 = 2592
46 × 46 + 46 × 54 = 46 × (46 + 54) = 46 × 100 = 4600
31 × 69 + 31 × 31 = 31 × (69 + 31) = 31 × 100 = 3100
34 × 13 - 34 × 3 = 34 × (13 - 3) = 34 × 10 = 340
乘法分配律(二):
38 × 99 + 38 = 38 × (99 + 1) = 38 × 100 = 3800
75 × 299 + 75 = 75 × (299 + 1) = 75 × 300 = 22500
102 × 99 + 102 = 102 × (99 + 1) = 102 × 100 = 10200
39 + 9 × 39 = 39 × (1 + 9) = 39 × 10 = 390
99 × 128 + 128 = 99 × (128 + 1) = 99 × 129 = 12771
27 + 99 × 27 = 27 × (1 + 99) = 27 × 100 = 2700
34 + 199 × 34 = 34 × (1 + 199) = 34 × 200 = 6800
35 × 99 + 35 = 35 × (99 + 1) = 35 × 100 = 3500
乘法分配律(三):
125 × (8 + 80) = 125 × 88 = 11000
(80 + 4) × 25 = 84 × 25 = 2100
8 × (125 + 9) = 8 × 134 = 1072
(20 + 4) × 25 = 24 × 25 = 600
32 × (200 + 3) = 32 × 203 = 6496
(125 + 17) × 8 = 142 × 8 = 1136
(100 + 2) × 99 = 102 × 99 = 10198
102 × (100 - 1) = 102 × 99 = 10198
25 × (40 + 4) = 25 × 44 = 1100
(25 + 100) × 4 = 125 × 4 = 500
99 × (100 + 1) = 99 × 101 = 9999
(125 + 40) × 8 = 165 × 8 = 1320
(125 + 25) × 8 = 150 × 8 = 1200
99 × (100 + 7) = 99 × 107 = 10693
8 × (125 + 7) = 8 × 132 = 1056
(30 + 25) × 4 = 55 × 4 = 220
乘法分配律(四):
46 × 102 = 4692
48 × 101 = 4848
99 × 46 = 4554
102 × 42 = 4284
103 × 31 = 3193
107 × 16 = 1712
108 × 15 = 1620
125 × 88 = 11000
88 × 102 = 8976
102 × 99 = 10198
39 × 101 = 3939
25 × 41 = 1025
48 × 101 = 4848
201 × 24 = 4824
302 × 43 = 13086
102 × 13 = 1326
商不变的规律:
300 ÷ 25 = 12
4000 ÷ 125 = 32
240 ÷ 5 = 48
600 ÷ 25 = 24
3200 ÷ 50 = 64
400 ÷ 25 = 16
150 ÷ 25 = 6
800 ÷ 25 = 32
2000 ÷ 125 = 16
9000 ÷ 125 = 72
四、混合运算
672 - 672 ÷ 12 × 7 = 672 - 56 × 7 = 672 - 392 = 280
987 ÷ (345 - 298) × 65 = 987 ÷ 47 × 65 = 21 × 65 = 1365
210 × [520 ÷ (240 - 227)] = 210 × [520 ÷ 13] = 210 × 40 = 8400
340 - 240 ÷ 20 × 5 = 340 - 12 × 5 = 340 - 60 = 280
30 × (320 - 170) ÷ 90 = 30 × 150 ÷ 90 = 4500 ÷ 90 = 50
[458 - (85 + 28)] ÷ 23 = [458 - 113] ÷ 23 = 345 ÷ 23 = 15
630 × [840 ÷ (240 - 212)] = 630 × [840 ÷ 28] = 630 × 30 = 18900
408 ÷ [512 - (178 + 283)] = 408 ÷ [512 - 461] = 408 ÷ 51 = 8
864 ÷ [(27 - 23) × 12] = 864 ÷ (4 × 12) = 864 ÷ 48 = 18
(105 × 12 - 635) ÷ 25 = (1260 - 635) ÷ 25 = 625 ÷ 25 = 25
240 - 140 ÷ 5 × 3 = 240 - 28 × 3 = 240 - 84 = 156
360 - 260 ÷ 20 × 5 = 360 - 13 × 5 = 360 - 65 = 295
104 × 48 + 272 ÷ 16 = 4992 + 17 = 5009
35 + 65 ÷ 5 - 20 = 35 + 13 - 20 = 28 - 20 = 8
240 + 180 ÷ 30 × 2 = 240 + 6 × 2 = 240 + 12 = 252
450 ÷ 30 + 20 × 3 = 15 + 60 = 75
146 - (34 + 420 ÷ 70) = 146 - (34 + 6) = 146 - 40 = 106
624 ÷ [(27 - 14) × 4] = 624 ÷ (13 × 4) = 624 ÷ 52 = 12
(77 - 21 ÷ 7) × 691 = (74 - 3) × 691 = 71 × 691 = 49161
(165 - 65 ÷ 5) × 5 = (165 - 13) × 5 = 152 × 5 = 760
840 ÷ [(120 + 195) ÷ 15] = 840 ÷ (315 ÷ 15) = 840 ÷ 21 = 40
[557 - (186 + 26)] ÷ 23 = [557 - 212] ÷ 23 = 345 ÷ 23 = 15
375 ÷ (25 - 10) × 15 = 375 ÷ 15 × 15 = 25 × 15 = 375
(659 - 34) ÷ (280 - 40) = 625 ÷ 240 = 5
720 ÷ [(12 + 24) ÷ 20] = 720 ÷ (36 ÷ 20) = 720 ÷ 1.8 = 400
15 × 27 - 200 ÷ 8 = 405 - 25 = 380
(324 - 285) × 12 ÷ 26 = 39 × 12 ÷ 26 = 468 ÷ 26 = 18
336 ÷ [(36 - 29) × 6] = 336 ÷ (7 × 6) = 336 ÷ 42 = 8
62 × (300 - 145 ÷ 5) = 62 × (300 - 29) = 62 × 271 = 16742
35 × (320 - 170) ÷ 50 = 35 × 150 ÷ 50 = 5250 ÷ 50 = 105
(36 × 54 - 984) ÷ 24 = (1944 - 984) ÷ 24 = 960 ÷ 24 = 40
150 ÷ [90 ÷ (67 - 52)] = 150 ÷ (90 ÷ 15) = 150 ÷ 6 = 25
(659 - 34) ÷ (280 - 40) = 625 ÷ 240 = 5
182 ÷ [36 ÷ (12 + 6)] = 182 ÷ (36 ÷ 18) = 182 ÷ 2 = 91
640 ÷ [(96 - 80) × 4] = 640 ÷ (16 × 4) = 640 ÷ 64 = 10
数学是一门博大精深的学科,它不仅仅存在于教室中,更贯穿于我们的日常生活。通过这些练习,我们或许更加了解数学的魅力,它是解决问题和挑战的有力工具。继续探索数学,不仅有助于提高数学素养,也能够增强解决现实生活中的各种问题的信心。希望这篇文章对你的数学学习和应用有所帮助,鼓励你在数学的世界中不断前进。
                        