【乘法结合律计算题100道】在小学数学中,乘法结合律是重要的运算定律之一。它指的是:三个数相乘,先将前两个数相乘,或者先将后两个数相乘,结果不变。即:
(a × b) × c = a × (b × c)
为了帮助学生更好地掌握这一规律,我们整理了100道乘法结合律相关的计算题,并附上详细答案。这些题目由浅入深,适合不同阶段的学习者练习。
一、题目汇总(共100道)
以下为100道乘法结合律的计算题,每道题都可运用结合律进行简便计算。
题号 | 题目 | 答案 |
1 | (2 × 5) × 3 | 30 |
2 | (4 × 6) × 2 | 48 |
3 | (7 × 3) × 5 | 105 |
4 | (8 × 9) × 1 | 72 |
5 | (10 × 4) × 2 | 80 |
6 | (3 × 5) × 4 | 60 |
7 | (6 × 7) × 2 | 84 |
8 | (9 × 2) × 5 | 90 |
9 | (5 × 5) × 3 | 75 |
10 | (12 × 3) × 2 | 72 |
11 | (15 × 2) × 4 | 120 |
12 | (10 × 6) × 3 | 180 |
13 | (14 × 5) × 2 | 140 |
14 | (16 × 3) × 5 | 240 |
15 | (18 × 2) × 5 | 180 |
16 | (20 × 4) × 3 | 240 |
17 | (25 × 2) × 4 | 200 |
18 | (30 × 3) × 2 | 180 |
19 | (22 × 5) × 2 | 220 |
20 | (24 × 5) × 3 | 360 |
21 | (28 × 2) × 5 | 280 |
22 | (32 × 3) × 5 | 480 |
23 | (35 × 4) × 2 | 280 |
24 | (40 × 2) × 5 | 400 |
25 | (45 × 3) × 2 | 270 |
26 | (50 × 2) × 4 | 400 |
27 | (55 × 2) × 3 | 330 |
28 | (60 × 4) × 2 | 480 |
29 | (65 × 2) × 5 | 650 |
30 | (70 × 3) × 2 | 420 |
31 | (75 × 2) × 4 | 600 |
32 | (80 × 5) × 2 | 800 |
33 | (85 × 2) × 3 | 510 |
34 | (90 × 4) × 2 | 720 |
35 | (95 × 2) × 5 | 950 |
36 | (100 × 3) × 2 | 600 |
37 | (12 × 5) × 4 | 240 |
38 | (15 × 4) × 5 | 300 |
39 | (18 × 5) × 3 | 270 |
40 | (20 × 5) × 2 | 200 |
41 | (25 × 3) × 4 | 300 |
42 | (30 × 5) × 2 | 300 |
43 | (35 × 2) × 5 | 350 |
44 | (40 × 2) × 5 | 400 |
45 | (45 × 5) × 2 | 450 |
46 | (50 × 3) × 4 | 600 |
47 | (55 × 2) × 5 | 550 |
48 | (60 × 5) × 2 | 600 |
49 | (65 × 3) × 2 | 390 |
50 | (70 × 2) × 5 | 700 |
51 | (75 × 4) × 2 | 600 |
52 | (80 × 2) × 5 | 800 |
53 | (85 × 3) × 2 | 510 |
54 | (90 × 5) × 2 | 900 |
55 | (95 × 2) × 5 | 950 |
56 | (100 × 4) × 2 | 800 |
57 | (110 × 2) × 5 | 1100 |
58 | (120 × 3) × 2 | 720 |
59 | (130 × 2) × 5 | 1300 |
60 | (140 × 5) × 2 | 1400 |
61 | (150 × 2) × 4 | 1200 |
62 | (160 × 3) × 2 | 960 |
63 | (170 × 2) × 5 | 1700 |
64 | (180 × 5) × 2 | 1800 |
65 | (190 × 2) × 5 | 1900 |
66 | (200 × 4) × 2 | 1600 |
67 | (210 × 2) × 5 | 2100 |
68 | (220 × 3) × 2 | 1320 |
69 | (230 × 2) × 5 | 2300 |
70 | (240 × 5) × 2 | 2400 |
71 | (250 × 2) × 4 | 2000 |
72 | (260 × 3) × 2 | 1560 |
73 | (270 × 2) × 5 | 2700 |
74 | (280 × 5) × 2 | 2800 |
75 | (290 × 2) × 5 | 2900 |
76 | (300 × 4) × 2 | 2400 |
77 | (310 × 2) × 5 | 3100 |
78 | (320 × 3) × 2 | 1920 |
79 | (330 × 2) × 5 | 3300 |
80 | (340 × 5) × 2 | 3400 |
81 | (350 × 2) × 4 | 2800 |
82 | (360 × 3) × 2 | 2160 |
83 | (370 × 2) × 5 | 3700 |
84 | (380 × 5) × 2 | 3800 |
85 | (390 × 2) × 5 | 3900 |
86 | (400 × 4) × 2 | 3200 |
87 | (410 × 2) × 5 | 4100 |
88 | (420 × 3) × 2 | 2520 |
89 | (430 × 2) × 5 | 4300 |
90 | (440 × 5) × 2 | 4400 |
91 | (450 × 2) × 4 | 3600 |
92 | (460 × 3) × 2 | 2760 |
93 | (470 × 2) × 5 | 4700 |
94 | (480 × 5) × 2 | 4800 |
95 | (490 × 2) × 5 | 4900 |
96 | (500 × 4) × 2 | 4000 |
97 | (510 × 2) × 5 | 5100 |
98 | (520 × 3) × 2 | 3120 |
99 | (530 × 2) × 5 | 5300 |
100 | (540 × 5) × 2 | 5400 |
二、总结
通过这100道乘法结合律的练习题,我们可以看到,合理运用结合律可以简化运算过程,提高计算效率。例如:
- (2 × 5) × 3 = 2 × (5 × 3) = 2 × 15 = 30
- (10 × 4) × 2 = 10 × (4 × 2) = 10 × 8 = 80
建议同学们在做题时多观察数字之间的关系,尝试使用结合律来简化计算,从而提升数学思维和解题能力。
如需更多练习题或讲解,请关注后续内容更新。
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