乘法结合律和交换律练习
乘法交换律和结合律以及相关的简便计算练习题及答案
乘法交换律和结合律以及相关的简便计算练习题及答案及相关的简便运算(1)不夯实基础，难建成高楼。
1. 填一填。
(1)乘法交换律用字母表示是______________。
(2)乘法结合律用字母表示是______________。
2. 先填空，然后说说运用了什么运算律。
75×28＝28×________，应用了( )。
25×74×2＝(25×________)×________，应用了( )。
15×(8×44)＝(15×________)×________，应用了( )。
3. 专门快写出每组数的积。
4. 依照乘法运算律在里填上合适的数。
28×＝55×25×43×4＝43×(×)×a＝×1850×2×7＝(×2)×5. 吉米安有一块边长为25米的正方形花圃，假如每平方米花圃每天需要4千克水进行护理，那么这块花圃每天大约用水多少千克？重点难点，一网打尽。
6. 运算下面各题，运用乘法交换律进行验算。
73×5654×3228×837. 如何样算简便就如何样算。
25×14×2125×(16×8)18×45 4×49×252×6×50 8×19×1258. 同学们排队做操。
每班站成4路纵队，每路纵队有12人，学校有25个班(人数相等)，一共有学生多少人？举一反三，应用创新，方能一显身手！9. 甲数乘乙数的积是50，要使积变成200，两个因数能够如何变化？至少列举出三种不同的变化方法。
【数学风尚街区】一壶酒第3课时1. (1)a×b＝b×a(2)(a×b)×c＝a×(b×c)2. 略3. 340 13004. 55 28 25×418 a50 75. 2500千克6. 4088 1728 2324 验算略。
乘法交换律乘法结合律知识点及专项练习题
乘法交换律乘法结合律知识点及专项练习题乘法交换律、乘法结合律知识点及专项练习题乘法是数学中一个基础且重要的运算法则，它在我们日常生活和学习中都有广泛的应用。
在学习乘法运算时，我们需要了解乘法交换律和乘法结合律这两个重要的概念。
本文将为大家详细介绍乘法交换律和乘法结合律的概念，并提供一些相关的专项练习题，以帮助大家更好地掌握这两个知识点。
一、乘法交换律乘法交换律是指乘法运算中，交换两个数的顺序不会改变运算的结果。
即对于任意的实数a和b，都有 a × b = b × a。
这个性质在我们的日常生活中是非常常见的，比如说我们乘积2 × 3和3 × 2是相等的，都等于6。
无论是先乘2再乘3，还是先乘3再乘2，最后的结果都是相同的。
乘法交换律在解决乘法运算时，可以提供一定的方便。
它允许我们在计算时可以按照自己的需要调整数的位置，更加灵活地进行计算。
下面是几个乘法交换律的练习题，供大家巩固理解：1. 计算以下乘法，并判断结果是否符合乘法交换律：(1) 3 × 5 (2) 4 × 7 (3) 6 × 92. 用乘法交换律计算以下乘法：(1) 8 × 5 × 2(2) 3 × 7 × 4(3) 2 × 9 × 6二、乘法结合律乘法结合律是指乘法运算中，三个数相乘时，无论先乘前两个数还是后两个数，最后的结果都是相等的。
即对于任意的实数a、b和c，都有 (a × b) × c = a × (b × c)。
乘法结合律在实际应用中也是非常重要的。
比如说，假设小明买了3个苹果，每个苹果10元，然后他再买了两次，每次也买了3个苹果，每个苹果的价格也是10元。
我们可以通过乘法结合律来计算总花费：(3 × 10) × 2 × 3。
下面是几个乘法结合律的练习题，帮助大家更好地掌握：1. 计算以下乘法并判断结果是否符合乘法结合律：(1) (2 × 3) × 4 (2) 5 × (6 × 7) (3) (8 × 9) × 102. 用乘法结合律计算以下乘法：(1) (6 × 5) × 2(2) 3 × (4 × 9)(3) (7 × 8) × 10通过以上的介绍和练习题，相信大家对乘法交换律和乘法结合律有了更加清晰的认识。
4年级数学乘法交换律和结合律1000题
练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:8 ×125 × 8 = 25 × 73 × 4 = 25 × 84 × 4 =86 × 25 × 4 = 88 × 25 × 4 = 17 × 25 × 4 =25 × 47 × 4 = 38 × 25 × 4 = 25 × 25 × 4 = 125 × 5 × 8 = 42 × 25 × 4 = 8000 ÷ 8 ÷ 125 = 3000 ÷ 25 ÷ 4 = 14 × 25 × 4 = 25 × 91 × 4 = 6700 ÷ 25 ÷ 4 = 96 × 25 × 4 = 25 × 87 × 4 = 125 × 2 × 8 = 125 ×15 × 8 = 16000 ÷ 8 ÷ 125 = 13000 ÷ 25 ÷ 4 = 25 × 6 × 4 = 13000 ÷ 8 ÷ 125 = 5 ×125 × 8 = 25 × 66 × 4 = 2000 ÷ 25 ÷ 4 = 12000 ÷125 ÷ 8 = 800 ÷ 25 ÷ 4 = 14 ×125 × 8 =7 ×125 × 8 = 25 × 26 × 4 = 62 × 25 × 4 = 1000 ÷ 8 ÷ 125 = 125 × 8 × 8 = 30 × 25 × 4 =25 × 22 × 4 = 125 ×18 × 8 = 10000 ÷ 8 ÷ 125 = 5600 ÷ 25 ÷ 4 = 52 × 25 × 4 = 76 × 25 × 4 = 10000 ÷ 4 ÷ 25 =18 × 25 × 4 =15000 ÷ 8 ÷ 125 =25 × 59 × 4 = 7800 ÷ 25 ÷ 4 = 6000 ÷ 125 ÷ 8 = 18 ×125 × 8 = 15 ×125 × 8 = 7000 ÷ 125 ÷ 8 = 125 ×16 × 8 = 1000 ÷125 ÷ 8 = 7000 ÷ 25 ÷ 4 = 20000 ÷ 4 ÷ 25 = 19000 ÷ 8 ÷ 125 = 25 × 40 × 4 =25 × 75 × 4 = 13 ×125 × 8 = 11000 ÷ 8 ÷ 125 = 34 × 25 × 4 = 10000 ÷125 ÷ 8 = 20000 ÷125 ÷ 8 = 17000 ÷125 ÷ 8 = 19 ×125 × 8 = 7000 ÷ 8 ÷ 125 = 25 ×12 × 4 = 10 ×125 × 8 = 12000 ÷ 4 ÷ 25 = 2000 ÷125 ÷ 8 = 20000 ÷ 25 ÷ 4 = 3 ×125 × 8 =28 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 3000 ÷ 125 ÷ 8 = 85 × 25 × 4 = 25 × 60 × 4 = 6600 ÷ 25 ÷ 4 = 24 × 25 × 4 = 18000 ÷125 ÷ 8 = 26 × 25 × 4 =20 ×125 × 8 = 6 ×125 × 8 = 125 × 6 × 8 =74 × 25 × 4 = 25 × 48 × 4 = 20000 ÷ 8 ÷ 125 = 125 ×10 × 8 = 19000 ÷125 ÷ 8 = 25 × 98 × 4 = 125 ×17 × 8 = 5900 ÷ 25 ÷ 4 = 8000 ÷ 4 ÷ 25 = 125 ×13 × 8 = 4 ×125 × 8 = 125 × 3 × 8 =12 × 25 × 4 =16 ×125 × 8 =3000 ÷ 4 ÷ 25 = 5500 ÷ 25 ÷ 4 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:25 × 33 × 4 = 13000 ÷125 ÷ 8 = 25 × 79 × 4 =18 × 25 × 4 = 20000 ÷125 ÷ 8 = 34 × 25 × 4 =94 × 25 × 4 = 13 × 25 × 4 = 20 × 25 × 4 =14 × 25 × 4 = 8000 ÷125 ÷ 8 = 125 × 6 × 8 =16 ×125 × 8 = 25 × 58 × 4 = 12000 ÷ 4 ÷ 25 = 12 ×125 × 8 = 8000 ÷ 8 ÷ 125 = 125 ×16 × 8 = 11000 ÷ 8 ÷ 125 = 1000 ÷ 8 ÷ 125 = 8200 ÷ 25 ÷ 4 = 5 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 18000 ÷125 ÷ 8 = 13 ×125 × 8 = 125 × 2 × 8 = 3 × 25 × 4 =800 ÷ 25 ÷ 4 = 62 × 25 × 4 = 10000 ÷ 4 ÷ 25 = 5000 ÷ 4 ÷ 25 = 67 × 25 × 4 = 20 ×125 × 8 = 7000 ÷ 25 ÷ 4 = 2900 ÷ 25 ÷ 4 = 6000 ÷ 125 ÷ 8 = 4000 ÷125 ÷ 8 = 25 × 49 × 4 = 6300 ÷ 25 ÷ 4 = 24 × 25 × 4 = 125 ×18 × 8 = 2000 ÷ 8 ÷ 125 = 2 ×125 × 8 =96 × 25 × 4 =11000 ÷ 25 ÷ 4 =8 ×125 × 8 = 16000 ÷ 8 ÷ 125 = 17 × 25 × 4 = 13000 ÷ 8 ÷ 125 = 6700 ÷ 25 ÷ 4 = 4 ×125 × 8 = 11000 ÷ 4 ÷ 25 = 4000 ÷ 25 ÷ 4 = 125 ×19 × 8 = 3000 ÷ 125 ÷ 8 = 9600 ÷ 25 ÷ 4 = 3 ×125 × 8 = 3000 ÷ 25 ÷ 4 = 25 × 34 × 4 = 25 × 98 × 4 =52 × 25 × 4 = 25 × 59 × 4 = 4000 ÷ 8 ÷ 125 = 15000 ÷ 4 ÷ 25 = 25 × 43 × 4 = 1700 ÷ 25 ÷ 4 = 1000 ÷ 4 ÷ 25 = 25 × 60 × 4 = 18 ×125 × 8 = 56 × 25 × 4 = 7100 ÷ 25 ÷ 4 = 19000 ÷125 ÷ 8 = 2000 ÷ 4 ÷ 25 = 6000 ÷ 4 ÷ 25 = 1600 ÷ 25 ÷ 4 = 11 × 25 × 4 = 8400 ÷ 25 ÷ 4 = 25 × 73 × 4 = 7000 ÷ 125 ÷ 8 = 7000 ÷ 4 ÷ 25 = 6 × 25 × 4 = 9100 ÷ 25 ÷ 4 = 19000 ÷ 4 ÷ 25 = 17 ×125 × 8 = 9000 ÷ 125 ÷ 8 = 19 ×125 × 8 = 25 × 5 × 4 =25 ×12 × 4 = 20000 ÷ 4 ÷ 25 = 125 × 5 × 8 = 10000 ÷ 8 ÷ 125 = 54 × 25 × 4 = 25 × 91 × 4 = 14000 ÷ 4 ÷ 25 = 125 × 4 × 8 = 25 × 92 × 4 =25 × 26 × 4 = 4 × 25 × 4 = 16000 ÷125 ÷ 8 = 15 × 25 × 4 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:10 ×125 × 8 = 28 × 25 × 4 = 6500 ÷ 25 ÷ 4 = 10000 ÷ 25 ÷ 4 = 17000 ÷ 4 ÷ 25 = 15 ×125 × 8 = 12000 ÷125 ÷ 8 = 125 ×16 × 8 = 125 × 20 × 8 = 14000 ÷ 25 ÷ 4 = 8200 ÷ 25 ÷ 4 = 16 ×125 × 8 = 200 ÷ 25 ÷ 4 = 125 ×14 × 8 = 25 × 48 × 4 =9 ×125 × 8 = 125 × 6 × 8 = 25 × 36 × 4 = 125 × 5 × 8 = 125 ×18 × 8 = 25 × 79 × 4 = 25 × 60 × 4 = 125 × 4 × 8 = 25 × 32 × 4 = 3000 ÷ 4 ÷ 25 = 25 × 61 × 4 = 125 × 7 × 8 = 74 × 25 × 4 = 125 ×19 × 8 = 8000 ÷ 8 ÷ 125 = 72 × 25 × 4 = 800 ÷ 25 ÷ 4 = 8 × 25 × 4 =19 ×125 × 8 = 25 × 59 × 4 = 125 × 9 × 8 = 3000 ÷ 25 ÷ 4 = 5 ×125 × 8 = 2 ×125 × 8 =6 ×125 × 8 = 25 × 92 × 4 = 4 ×125 × 8 = 1900 ÷ 25 ÷ 4 =6000 ÷ 125 ÷ 8 =13000 ÷ 4 ÷ 25 =125 ×10 × 8 = 2000 ÷ 4 ÷ 25 = 17 × 25 × 4 = 15000 ÷125 ÷ 8 = 15000 ÷ 4 ÷ 25 = 17 ×125 × 8 = 7000 ÷ 25 ÷ 4 = 10000 ÷ 8 ÷ 125 = 25 × 40 × 4 =20 ×125 × 8 = 8000 ÷ 4 ÷ 25 = 125 ×13 × 8 = 18 × 25 × 4 = 18 ×125 × 8 = 4000 ÷125 ÷ 8 = 4000 ÷ 25 ÷ 4 = 1000 ÷ 8 ÷ 125 = 7300 ÷ 25 ÷ 4 = 1000 ÷125 ÷ 8 = 12000 ÷ 8 ÷ 125 = 19000 ÷125 ÷ 8 = 77 × 25 × 4 = 67 × 25 × 4 = 7000 ÷ 8 ÷ 125 = 5000 ÷ 125 ÷ 8 = 25 × 39 × 4 = 6000 ÷ 8 ÷ 125 = 125 ×12 × 8 = 15000 ÷ 8 ÷ 125 = 25 × 58 × 4 = 16000 ÷ 8 ÷ 125 = 20000 ÷ 4 ÷ 25 = 25 × 43 × 4 = 7000 ÷ 125 ÷ 8 = 25 × 89 × 4 = 25 × 99 × 4 =12 × 25 × 4 = 25 × 26 × 4 = 5100 ÷ 25 ÷ 4 = 5900 ÷ 25 ÷ 4 = 25 × 52 × 4 = 19000 ÷ 8 ÷ 125 = 25 ×17 × 4 = 24 × 25 × 4 = 18000 ÷125 ÷ 8 = 25 ×16 × 4 = 2400 ÷ 25 ÷ 4 = 16000 ÷125 ÷ 8 = 6000 ÷ 4 ÷ 25 = 12 ×125 × 8 = 25 × 73 × 4 =25 × 66 × 4 = 3000 ÷ 125 ÷ 8 = 25 × 34 × 4 =3 ×125 × 8 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:13000 ÷ 8 ÷ 125 = 25 × 79 × 4 = 25 × 23 × 4 = 125 × 5 × 8 = 8000 ÷ 4 ÷ 25 = 40 × 25 × 4 =17 × 25 × 4 = 5000 ÷ 125 ÷ 8 = 25 × 48 × 4 = 125 ×16 × 8 = 25 × 43 × 4 = 25 × 59 × 4 = 19000 ÷125 ÷ 8 = 6000 ÷ 4 ÷ 25 = 25 × 52 × 4 =87 × 25 × 4 = 125 ×19 × 8 = 25 ×19 × 4 = 2000 ÷ 25 ÷ 4 = 7000 ÷ 125 ÷ 8 = 17000 ÷ 8 ÷ 125 = 17000 ÷ 25 ÷ 4 = 51 × 25 × 4 = 9000 ÷ 125 ÷ 8 = 5600 ÷ 25 ÷ 4 = 12 × 25 × 4 = 8 ×125 × 8 =25 × 40 × 4 = 9300 ÷ 25 ÷ 4 = 8200 ÷ 25 ÷ 4 = 10000 ÷ 8 ÷ 125 = 38 × 25 × 4 = 3000 ÷ 25 ÷ 4 = 5 × 25 × 4 = 14 ×125 × 8 = 125 × 9 × 8 =25 × 26 × 4 = 19000 ÷ 4 ÷ 25 = 12 ×125 × 8 = 16000 ÷ 4 ÷ 25 = 5000 ÷ 25 ÷ 4 = 25 × 73 × 4 = 17000 ÷ 4 ÷ 25 =18000 ÷125 ÷ 8 =800 ÷ 25 ÷ 4 =125 × 4 × 8 = 2800 ÷ 25 ÷ 4 = 7000 ÷ 25 ÷ 4 = 19000 ÷ 8 ÷ 125 = 26 × 25 × 4 = 3000 ÷ 125 ÷ 8 = 25 × 27 × 4 = 84 × 25 × 4 = 12000 ÷ 125 ÷ 8 = 25 × 58 × 4 = 4500 ÷ 25 ÷ 4 = 3600 ÷ 25 ÷ 4 = 11000 ÷ 25 ÷ 4 = 20 ×125 × 8 = 77 × 25 × 4 =46 × 25 × 4 = 13000 ÷125 ÷ 8 = 18 × 25 × 4 = 10000 ÷ 4 ÷ 25 = 9500 ÷ 25 ÷ 4 = 24 × 25 × 4 = 125 ×12 × 8 = 15000 ÷ 8 ÷ 125 = 15 ×125 × 8 = 13 ×125 × 8 = 4000 ÷ 25 ÷ 4 = 74 × 25 × 4 =25 × 34 × 4 = 5900 ÷ 25 ÷ 4 = 125 × 20 × 8 = 17 ×125 × 8 = 11000 ÷ 8 ÷ 125 = 8 × 25 × 4 = 15000 ÷125 ÷ 8 = 8000 ÷125 ÷ 8 = 18 ×125 × 8 = 25 × 70 × 4 = 8600 ÷ 25 ÷ 4 = 4 ×125 × 8 = 10000 ÷ 25 ÷ 4 = 6400 ÷ 25 ÷ 4 = 25 × 45 × 4 =96 × 25 × 4 = 72 × 25 × 4 = 9 × 25 × 4 =42 × 25 × 4 = 19000 ÷ 25 ÷ 4 = 16000 ÷ 125 ÷ 8 = 25 × 5 × 4 = 7800 ÷ 25 ÷ 4 = 25 × 91 × 4 = 3000 ÷ 4 ÷ 25 =125 × 2 × 8 =71 × 25 × 4 = 7000 ÷ 4 ÷ 25 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:3000 ÷ 125 ÷ 8 = 25 × 33 × 4 = 14000 ÷125 ÷ 8 = 7000 ÷ 4 ÷ 25 = 2000 ÷ 8 ÷ 125 = 6200 ÷ 25 ÷ 4 = 25 × 75 × 4 = 2600 ÷ 25 ÷ 4 = 25 × 44 × 4 = 125 ×18 × 8 = 25 × 48 × 4 = 12 × 25 × 4 = 2000 ÷125 ÷ 8 = 8800 ÷ 25 ÷ 4 = 13 ×125 × 8 = 85 × 25 × 4 = 7000 ÷ 125 ÷ 8 = 18000 ÷ 8 ÷ 125 = 87 × 25 × 4 = 62 × 25 × 4 = 19000 ÷125 ÷ 8 = 6700 ÷ 25 ÷ 4 = 25 × 58 × 4 = 3900 ÷ 25 ÷ 4 = 96 × 25 × 4 = 19 ×125 × 8 = 8000 ÷125 ÷ 8 = 12000 ÷125 ÷ 8 = 74 × 25 × 4 = 13000 ÷ 4 ÷ 25 = 19000 ÷ 4 ÷ 25 = 1000 ÷ 8 ÷ 125 = 4 ×125 × 8 =8 × 25 × 4 = 7500 ÷ 25 ÷ 4 = 7000 ÷ 8 ÷ 125 = 25 × 92 × 4 = 42 × 25 × 4 = 12 ×125 × 8 = 12000 ÷ 8 ÷ 125 = 6 ×125 × 8 = 125 × 8 × 8 = 125 × 20 × 8 =7 ×125 × 8 =25 × 32 × 4 =5000 ÷ 25 ÷ 4 = 58 × 25 × 4 = 4000 ÷125 ÷ 8 = 10 ×125 × 8 = 11000 ÷125 ÷ 8 = 25 ×12 × 4 = 6000 ÷ 125 ÷ 8 = 11000 ÷ 8 ÷ 125 = 25 ×13 × 4 = 7000 ÷ 25 ÷ 4 = 25 × 49 × 4 = 125 ×11 × 8 = 14 × 25 × 4 = 17000 ÷125 ÷ 8 = 25 × 35 × 4 = 8200 ÷ 25 ÷ 4 = 17000 ÷ 8 ÷ 125 = 20 ×125 × 8 = 11 ×125 × 8 = 6000 ÷ 4 ÷ 25 = 25 × 2 × 4 =125 × 7 × 8 = 125 × 4 × 8 = 10000 ÷ 8 ÷ 125 = 125 × 9 × 8 = 16 ×125 × 8 = 32 × 25 × 4 = 5000 ÷ 125 ÷ 8 = 25 × 28 × 4 = 8000 ÷ 8 ÷ 125 = 54 × 25 × 4 = 6100 ÷ 25 ÷ 4 = 125 ×12 × 8 = 77 × 25 × 4 = 29 × 25 × 4 = 25 × 66 × 4 =66 × 25 × 4 = 25 × 76 × 4 = 25 × 5 × 4 =15 ×125 × 8 = 78 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 1000 ÷ 4 ÷ 25 = 52 × 25 × 4 = 25 × 60 × 4 =17 × 25 × 4 = 14000 ÷ 8 ÷ 125 = 18000 ÷ 125 ÷ 8 = 6400 ÷ 25 ÷ 4 = 11000 ÷ 4 ÷ 25 = 8000 ÷ 4 ÷ 25 = 1000 ÷125 ÷ 8 =2000 ÷ 4 ÷ 25 =3000 ÷ 4 ÷ 25 = 125 × 5 × 8 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:1000 ÷125 ÷ 8 = 18000 ÷125 ÷ 8 = 24 × 25 × 4 =6 ×125 × 8 = 125 ×13 × 8 = 3 × 25 × 4 = 6000 ÷ 8 ÷ 125 = 18000 ÷ 8 ÷ 125 = 25 × 59 × 4 =80 × 25 × 4 = 18 × 25 × 4 = 4 ×125 × 8 = 12000 ÷125 ÷ 8 = 17 ×125 × 8 = 1000 ÷ 4 ÷ 25 = 67 × 25 × 4 = 64 × 25 × 4 = 25 × 34 × 4 =46 × 25 × 4 = 5600 ÷ 25 ÷ 4 = 5 × 25 × 4 =25 × 4 × 4 = 16000 ÷125 ÷ 8 = 125 × 9 × 8 =25 × 73 × 4 = 11000 ÷ 4 ÷ 25 = 65 × 25 × 4 =25 × 49 × 4 = 125 × 6 × 8 = 16000 ÷ 8 ÷ 125 = 7000 ÷ 4 ÷ 25 = 19 ×125 × 8 = 25 ×12 × 4 = 5000 ÷ 125 ÷ 8 = 8000 ÷125 ÷ 8 = 17000 ÷ 8 ÷ 125 = 3000 ÷ 125 ÷ 8 = 12 × 25 × 4 = 125 × 4 × 8 =88 × 25 × 4 = 92 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 87 × 25 × 4 =2600 ÷ 25 ÷ 4 =125 × 2 × 8 =25 × 66 × 4 = 34 × 25 × 4 = 23 × 25 × 4 = 85 × 25 × 4 = 1000 ÷ 8 ÷ 125 = 28 × 25 × 4 = 5000 ÷ 8 ÷ 125 = 25 × 43 × 4 = 125 × 7 × 8 = 20000 ÷ 25 ÷ 4 = 13000 ÷ 8 ÷ 125 = 8000 ÷ 4 ÷ 25 = 16 ×125 × 8 = 3 ×125 × 8 = 1000 ÷ 25 ÷ 4 = 19000 ÷125 ÷ 8 = 54 × 25 × 4 = 125 ×15 × 8 = 25 × 40 × 4 = 18000 ÷ 4 ÷ 25 = 2500 ÷ 25 ÷ 4 = 9 ×125 × 8 = 7000 ÷ 8 ÷ 125 = 12 ×125 × 8 = 91 × 25 × 4 = 16000 ÷ 4 ÷ 25 = 125 ×19 × 8 = 12000 ÷ 4 ÷ 25 = 3900 ÷ 25 ÷ 4 = 3000 ÷ 25 ÷ 4 = 6400 ÷ 25 ÷ 4 = 62 × 25 × 4 = 8 ×125 × 8 = 25 × 92 × 4 = 20000 ÷ 4 ÷ 25 = 25 × 79 × 4 = 25 × 38 × 4 = 3000 ÷ 4 ÷ 25 = 7000 ÷ 25 ÷ 4 = 7000 ÷ 125 ÷ 8 = 25 × 91 × 4 = 4300 ÷ 25 ÷ 4 = 10000 ÷ 4 ÷ 25 = 99 × 25 × 4 = 9000 ÷ 125 ÷ 8 = 17 × 25 × 4 = 19000 ÷ 4 ÷ 25 = 25 × 27 × 4 = 6700 ÷ 25 ÷ 4 = 14000 ÷125 ÷ 8 = 125 ×11 × 8 = 25 × 48 × 4 = 25 × 58 × 4 = 14000 ÷ 4 ÷ 25 = 70 × 25 × 4 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:125 ×18 × 8 = 24 × 25 × 4 = 25 × 72 × 4 = 18000 ÷125 ÷ 8 = 125 × 2 × 8 = 9 ×125 × 8 =27 × 25 × 4 = 5000 ÷ 125 ÷ 8 = 5400 ÷ 25 ÷ 4 = 6000 ÷ 125 ÷ 8 = 25 × 59 × 4 = 54 × 25 × 4 = 125 ×16 × 8 = 3400 ÷ 25 ÷ 4 = 16 ×125 × 8 = 25 × 79 × 4 = 125 ×19 × 8 = 42 × 25 × 4 = 125 × 8 × 8 = 8 × 25 × 4 = 25 × 40 × 4 = 6000 ÷ 4 ÷ 25 = 3000 ÷ 4 ÷ 25 = 3 × 25 × 4 = 13000 ÷ 8 ÷ 125 = 25 × 36 × 4 = 16000 ÷ 8 ÷ 125 = 12 ×125 × 8 = 4000 ÷125 ÷ 8 = 17000 ÷125 ÷ 8 = 12000 ÷ 4 ÷ 25 = 5 × 25 × 4 = 6400 ÷ 25 ÷ 4 = 3 ×125 × 8 = 73 × 25 × 4 = 800 ÷ 25 ÷ 4 = 41 × 25 × 4 = 5 ×125 × 8 = 48 × 25 × 4 = 3000 ÷ 125 ÷ 8 = 9000 ÷ 125 ÷ 8 = 25 × 43 × 4 = 15000 ÷ 8 ÷ 125 =68 × 25 × 4 =13 ×125 × 8 =10000 ÷125 ÷ 8 = 6000 ÷ 8 ÷ 125 = 47 × 25 × 4 =25 × 71 × 4 = 1000 ÷ 25 ÷ 4 = 25 × 48 × 4 =34 × 25 × 4 = 9500 ÷ 25 ÷ 4 = 19 ×125 × 8 = 17 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 8000 ÷ 4 ÷ 25 = 125 ×15 × 8 = 10000 ÷ 4 ÷ 25 = 67 × 25 × 4 = 125 × 5 × 8 = 25 × 74 × 4 = 125 ×10 × 8 = 15000 ÷125 ÷ 8 = 125 ×13 × 8 = 11 ×125 × 8 = 25 × 34 × 4 = 16 × 25 × 4 = 25 × 60 × 4 = 125 × 7 × 8 = 19000 ÷125 ÷ 8 = 8300 ÷ 25 ÷ 4 = 8200 ÷ 25 ÷ 4 = 8 ×125 × 8 = 12 × 25 × 4 = 3000 ÷ 25 ÷ 4 = 17000 ÷ 8 ÷ 125 = 14000 ÷ 8 ÷ 125 = 125 ×17 × 8 = 6700 ÷ 25 ÷ 4 = 84 × 25 × 4 =25 × 80 × 4 = 10000 ÷ 8 ÷ 125 = 12000 ÷ 8 ÷ 125 = 25 × 75 × 4 = 62 × 25 × 4 = 9000 ÷ 8 ÷ 125 = 87 × 25 × 4 = 125 × 6 × 8 = 77 × 25 × 4 =25 × 26 × 4 = 25 ×13 × 4 = 6 ×125 × 8 =25 × 92 × 4 = 46 × 25 × 4 = 7900 ÷ 25 ÷ 4 = 85 × 25 × 4 = 125 × 9 × 8 = 1000 ÷ 8 ÷ 125 = 25 × 98 × 4 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:5 ×125 × 8 = 7000 ÷ 25 ÷ 4 = 9000 ÷ 25 ÷ 4 = 9000 ÷ 125 ÷ 8 = 2000 ÷ 8 ÷ 125 = 74 × 25 × 4 = 6400 ÷ 25 ÷ 4 = 20000 ÷125 ÷ 8 = 25 × 66 × 4 = 13 ×125 × 8 = 51 × 25 × 4 = 19000 ÷ 4 ÷ 25 = 12 ×125 × 8 = 25 × 74 × 4 = 6000 ÷ 4 ÷ 25 = 5000 ÷ 8 ÷ 125 = 5600 ÷ 25 ÷ 4 = 62 × 25 × 4 = 25 × 26 × 4 = 125 × 3 × 8 = 25 × 60 × 4 = 25 × 73 × 4 = 46 × 25 × 4 = 25 × 40 × 4 = 25 × 37 × 4 = 5000 ÷ 125 ÷8 = 25 × 35 × 4 = 4000 ÷ 8 ÷ 125 = 6000 ÷ 125 ÷ 8 = 17 ×125 × 8 = 16000 ÷125 ÷ 8 = 10000 ÷ 8 ÷ 125 = 34 × 25 × 4 = 5800 ÷ 25 ÷ 4 = 15 ×125 × 8 = 25 × 34 × 4 = 24 × 25 × 4 = 6700 ÷ 25 ÷ 4 = 125 ×16 × 8 = 8 × 25 × 4 = 15000 ÷125 ÷ 8 = 25 × 98 × 4 = 77 × 25 × 4 =20 ×125 × 8 =4000 ÷125 ÷ 8 =18 ×125 × 8 = 3000 ÷ 4 ÷ 25 = 25 × 43 × 4 =25 × 91 × 4 = 3000 ÷ 125 ÷ 8 = 90 × 25 × 4 = 16000 ÷ 4 ÷ 25 = 7000 ÷ 8 ÷ 125 = 15000 ÷ 8 ÷ 125 = 18000 ÷125 ÷ 8 = 2000 ÷ 4 ÷ 25 = 4 ×125 × 8 =87 × 25 × 4 = 12000 ÷ 8 ÷ 125 = 800 ÷ 25 ÷ 4 = 10000 ÷125 ÷ 8 = 25 × 88 × 4 = 19 ×125 × 8 = 16 × 25 × 4 = 125 × 2 × 8 = 125 ×14 × 8 = 6100 ÷ 25 ÷ 4 = 96 × 25 × 4 = 7000 ÷ 125 ÷ 8 = 25 × 75 × 4 = 300 ÷ 25 ÷ 4 = 11000 ÷ 4 ÷ 25 = 7800 ÷ 25 ÷ 4 = 125 × 5 × 8 = 55 × 25 × 4 =25 × 92 × 4 = 25 × 6 × 4 = 7 ×125 × 8 =18 × 25 × 4 = 25 × 48 × 4 = 125 × 7 × 8 =11 ×125 × 8 = 1000 ÷ 4 ÷ 25 = 125 ×17 × 8 = 85 × 25 × 4 = 1000 ÷ 8 ÷ 125 = 3300 ÷ 25 ÷ 4 = 25 ×12 × 4 = 16000 ÷ 8 ÷ 125 = 25 × 50 × 4 = 125 × 6 × 8 = 125 ×10 × 8 = 6000 ÷ 25 ÷ 4 = 38 × 25 × 4 = 12000 ÷ 4 ÷ 25 = 2000 ÷125 ÷ 8 = 6 ×125 × 8 =25 × 2 × 4 =2300 ÷ 25 ÷ 4 = 19000 ÷ 8 ÷ 125 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:6000 ÷ 125 ÷ 8 = 10 ×125 × 8 = 1000 ÷ 4 ÷ 25 = 96 × 25 × 4 = 18 ×125 × 8 = 27 × 25 × 4 = 16000 ÷ 8 ÷ 125 = 1100 ÷ 25 ÷ 4 = 7000 ÷ 125 ÷ 8 = 9000 ÷ 125 ÷ 8 = 25 × 46 × 4 = 25 × 40 × 4 = 6000 ÷ 4 ÷ 25 = 5600 ÷ 25 ÷ 4 = 20000 ÷ 25 ÷ 4 = 125 ×11 × 8 = 25 × 53 × 4 = 52 × 25 × 4 = 83 × 25 × 4 = 25 × 48 × 4 = 125 ×15 × 8 = 13 ×125 × 8 = 100 ÷ 25 ÷ 4 = 98 × 25 × 4 = 7000 ÷ 25 ÷ 4 = 18000 ÷125 ÷ 8 = 25 × 24 × 4 = 15000 ÷ 8 ÷ 125 = 24 × 25 × 4 = 1000 ÷125 ÷ 8 = 25 × 59 × 4 = 25 × 55 × 4 = 15 ×125 × 8 = 6400 ÷ 25 ÷ 4 = 8 × 25 × 4 = 54 × 25 × 4 = 25 × 67 × 4 = 16000 ÷ 4 ÷ 25 = 25 × 91 × 4 = 10000 ÷ 25 ÷ 4 = 25 × 34 × 4 = 2000 ÷125 ÷ 8 = 125 × 9 × 8 =1000 ÷ 8 ÷ 125 =125 ×10 × 8 =3000 ÷ 4 ÷ 25 = 34 × 25 × 4 = 3400 ÷ 25 ÷ 4 = 25 × 61 × 4 = 125 ×12 × 8 = 25 × 66 × 4 = 19000 ÷125 ÷ 8 = 3000 ÷ 125 ÷ 8 = 4000 ÷ 8 ÷ 125 = 9200 ÷ 25 ÷ 4 = 25 × 79 × 4 = 7000 ÷ 8 ÷ 125 = 5000 ÷ 8 ÷ 125 = 62 × 25 × 4 = 16 ×125 × 8 = 14 × 25 × 4 = 25 × 56 × 4 = 5000 ÷ 4 ÷ 25 = 19000 ÷ 4 ÷ 25 = 25 × 73 × 4 = 7800 ÷ 25 ÷ 4 = 25 × 20 × 4 = 25 × 76 × 4 = 6 ×125 × 8 = 7000 ÷ 4 ÷ 25 = 85 × 25 × 4 = 125 ×16 × 8 = 8 ×125 × 8 = 9000 ÷ 4 ÷ 25 = 25 × 75 × 4 =17 × 25 × 4 = 125 ×19 × 8 = 5 ×125 × 8 =18 × 25 × 4 = 11000 ÷125 ÷ 8 = 25 × 58 × 4 = 125 × 4 × 8 = 25 × 95 × 4 = 25 × 81 × 4 = 10000 ÷ 4 ÷ 25 = 12000 ÷ 4 ÷ 25 = 25 × 60 × 4 = 17 ×125 × 8 = 11000 ÷ 4 ÷ 25 = 87 × 25 × 4 = 18000 ÷ 4 ÷ 25 = 3000 ÷ 25 ÷ 4 = 125 × 5 × 8 = 25 × 52 × 4 = 8200 ÷ 25 ÷ 4 = 5 × 25 × 4 = 8000 ÷125 ÷ 8 =42 × 25 × 4 =600 ÷ 25 ÷ 4 = 14000 ÷ 4 ÷ 25 =练习范围：乘法交换律和结合律题数：100 月日姓名: 分秒成绩:19 ×125 × 8 = 19000 ÷125 ÷ 8 = 54 × 25 × 4 = 125 ×16 × 8 = 3000 ÷ 125 ÷ 8 = 25 × 82 × 4 = 125 ×10 × 8 = 66 × 25 × 4 = 34 × 25 × 4 = 3700 ÷ 25 ÷ 4 = 25 × 56 × 4 = 15 ×125 × 8 = 14 × 25 × 4 = 6000 ÷ 8 ÷ 125 = 125 ×19 × 8 = 25 × 40 × 4 = 13 ×125 × 8 = 3900 ÷ 25 ÷ 4 = 14000 ÷ 8 ÷ 125 = 8700 ÷ 25 ÷ 4 = 9000 ÷ 25 ÷ 4 = 16000 ÷ 8 ÷ 125 = 24 × 25 × 4 = 2000 ÷ 4 ÷ 25 = 1000 ÷125 ÷ 8 = 25 × 92 × 4 = 18000 ÷125 ÷ 8 = 6600 ÷ 25 ÷ 4 = 18000 ÷ 4 ÷ 25 = 7800 ÷ 25 ÷ 4 = 14000 ÷ 4 ÷ 25 = 87 × 25 × 4 = 5 × 25 × 4 = 15000 ÷ 8 ÷ 125 = 25 × 43 × 4 = 7700 ÷ 25 ÷ 4 = 800 ÷ 25 ÷ 4 = 5000 ÷ 125 ÷ 8 = 46 × 25 × 4 = 125 × 5 × 8 = 7000 ÷ 25 ÷ 4 = 13000 ÷ 8 ÷ 125 = 25 × 98 × 4 =67 × 25 × 4 =125 ×15 × 8 =6700 ÷ 25 ÷ 4 = 125 × 4 × 8 = 39 × 25 × 4 =16 ×125 × 8 = 125 × 3 × 8 = 6000 ÷ 125 ÷ 8 = 1000 ÷ 4 ÷ 25 = 125 ×12 × 8 = 12 ×125 × 8 = 19000 ÷ 8 ÷ 125 = 19000 ÷ 4 ÷ 25 = 7000 ÷ 8 ÷ 125 = 25 × 66 × 4 = 19 × 25 × 4 = 12000 ÷125 ÷ 8 = 25 × 78 × 4 = 8400 ÷ 25 ÷ 4 = 5000 ÷ 8 ÷ 125 = 25 × 58 × 4 = 4400 ÷ 25 ÷ 4 = 17000 ÷ 4 ÷ 25 = 13000 ÷ 4 ÷ 25 = 25 × 73 × 4 = 7 ×125 × 8 = 9000 ÷ 125 ÷ 8 = 4100 ÷ 25 ÷ 4 = 10000 ÷ 25 ÷ 4 = 63 × 25 × 4 = 96 × 25 × 4 = 125 ×11 × 8 = 18 × 25 × 4 = 125 × 8 × 8 = 25 × 34 × 4 = 13000 ÷125 ÷ 8 = 8000 ÷125 ÷ 8 = 83 × 25 × 4 =29 × 25 × 4 = 4300 ÷ 25 ÷ 4 = 6000 ÷ 4 ÷ 25 = 8 ×125 × 8 = 25 × 75 × 4 = 25 × 59 × 4 =17 × 25 × 4 = 20000 ÷ 8 ÷ 125 = 6400 ÷ 25 ÷ 4 = 74 × 25 × 4 = 25 × 49 × 4 = 25 × 48 × 4 =3 ×125 × 8 = 25 × 93 ×4 = 7000 ÷ 4 ÷ 25 = 125 ×13 × 8 = 5 ×125 × 8 = 200 ÷ 25 ÷ 4 = 125 × 2 × 8 =。
小学四年级数学下册练习题乘法交换律和结合律(共400题)
月 日 姓名: 分 秒 班级:
58 25 4
19000 25 4
4800 25 4
2300 25 4
4600 25 4
1100 25 4
9000 8 125
700 25 4
25 79 4
4300 25 4
25 16 4
4100 25 4
25 33 4
11000 4 25
25 91 4
15000 8 125
4000 25 4
125 8 8
1700 25 4
39 25 4
700 25 4
25 19 4
900 25 4
10000 125 8
11000 125 8
93 25 4
25 53 4
4
小学四年级数学下册练习题 《乘法交换律和结合律》 题数：400题
25 76 4
2100 25 4
月 日 姓名: 分 秒 班级:
400 25 4
125 9 8
1400 25 4
2000 125 8
25 69 4
25 59 4
16000 25 4
125 19 8
73 25 4
25 2 4
25 17 4
25 96 4
24 25 4
45 25 4
25 6 4
4 125 8
68 25 4
25 78 4
8
小学四年级数学下册练习题 《乘法交换律和结合律》 题数：400题
84 25 4
125 14 8
月 日 姓名: 分 秒 班级:
25 55 4
10000 25 4
25 35 4
500 25 4
6000 25 4
乘法交换律和结合律练习题
______________________________________________________________________________________________________________乘法交换律和结合律练习题一、仔细想，认真填1、两个数相加，交换加数的，和不变，这叫做。
用字母表示为。
2、三个数相加，先把相加，再与相加；或者先把相加，再与相加，它们的和不变，这叫做。
用字母表示为。
3、两个数相乘，交换乘数的，积不变，这叫做。
用字母表示为。
4、三个数相乘，先把相乘，再与相乘；或者先把相乘，再与相乘，它们的积不变，这叫做。
用字母表示为。
5、73+99+27=99+(73+27) 是根据加法( )律和( )律；9×125×8 =9×(125×8)，这里运用了乘法( )律；(25×37)×4=37×(25×4）。
这里运用了乘法( )律和( )律。
6、在○里填＞、＜或＝符号。
125×24○125×8×3 27×4×25○27×(4×25) 67×8○68×77、在□内填上数，在○内填上运算符号，在横线上填上运用的运算定律。
29＋37＋171＝37＋（□○□）。
42×5×8＝42×（□○□）。
47＋□＝28○□。
427＋39＋73＝(427+□)○□。
35×21×2＝21×(□○□)。
8、计算64×26后，可以交换两个乘数的位置进行验算，是运用了（）律。
9、25×（20×39）＝（25×20）×39 这是运用了（）律。
10、用简便方法计算76＋98＋24，要先算（），这是根据（）律。
二、对号入座：（把正确的答案的序号填在括号里）1、下面一个零也不读的数是( )。
四年级练习题乘法交换律与结合律
四年级上册第三单元——乘法交换律与结合律一、仔细想，认真填1、两个数相加，交换加数的，和不变，这叫做。
用字母表示为。
2、三个数相加，先把相加，再与相加；或者先把相加，再与相加，它们的和不变，这叫做。
用字母表示为。
3、两个数相乘，交换乘数的，积不变，这叫做。
用字母表示为。
4、三个数相乘，先把相乘，再与相乘；或者先把相乘，再与相乘，它们的积不变，这叫做。
用字母表示为。
5、用字母a、b、c表示下面运算定律：（l）加法交换律（）；（2）加法结合律（）；（3）乘法交换律（）；（4）乘法结合律（）。
6、73+99+27=99+(73+27) 是根据加法( )律和( )律；9×125×8 =9×(125×8)，这里运用了乘法( )律；(25×37)×4=37×(25×4）。
这里运用了乘法( )律和( )律。
4、在○里填＞、＜或＝符号。
125×24○125×8×3 27×4×25○27×(4×25) 67×8○68×75、在□内填上数，在○内填上运算符号，在横线上填上运用的运算定律。
29＋37＋171＝37＋（□○□）。
42×5×8＝42×（□○□）。
47＋□＝28○□。
427＋39＋73＝(427+□)○□。
35×21×2＝21×(□○□) 。
6、计算64×26后，可以交换两个乘数的位置进行验算，是运用了（）律。
7、25×（20×39）＝（25×20）×39 这是运用了（）律。
8、用简便方法计算76＋98＋24，要先算（），这是根据（）律。
二、对号入座：（把正确的答案的序号填在括号里）1、下面一个零也不读的数是( )。
A.600030B.603000C.6003002、与480×40的积一样的算式是( )。
乘法交换律结合律分配律易错题
一、选择题1.下列哪个等式体现了乘法的交换律？A.(a × b) × c = a × (b × c)（结合律）B. a × b = b × a（正确答案）C. a × (b + c) = a × b + a × c（分配律）D. a × 0 = 0（乘法零元）2.下列哪个等式没有正确应用乘法的结合律？A. 3 × (4 × 5) = (3 × 4) × 5（正确答案，实际上应用了结合律）B.(2 × 3) × 4 ≠ 2 × (3 × 5)（右侧与左侧不相等，未应用结合律）C.(a × b) × c = a × (b × c)（结合律）D.(1 × 2) × 3 = 1 × (2 × 3)（结合律）3.下列哪个等式体现了乘法的分配律？A. a × (b + c) = a × b × c（错误）B. a × (b + c) = a × b + a × c（正确答案）C. a × b = b × a（交换律）D.(a × b) × c = a × (b × c)（结合律）4.下列哪个等式没有正确应用乘法的交换律和结合律？A. a × b = b × a（交换律）B.(a × b) × c = a × (b × c)（结合律）C. a × b + a × c = a × (b + c)（分配律，不是交换律或结合律）D. a × b × c = b × a × c（正确答案，同时应用了交换律和结合律，但此题要求选出未正确应用的，实际上D选项是正确应用了，题目表述存在误导，应理解为“不符合仅交换或仅结合的情况”，但严格来说D也是正确的组合应用，此处为题目设计上的小瑕疵，实际教学中应避免此类表述不清）。
乘法交换律和结合律练习题
乘法交换律和结合律练习题乘法交换律和结合律练习题在数学中，乘法交换律和结合律是基本的运算法则。
它们在解决实际问题和简化计算中起着重要的作用。
为了更好地理解和应用这两个法则，我们可以通过一些练习题来加深对它们的理解。
1. 练习题一：乘法交换律(a) 计算：3 × 4 × 5 = ?(b) 将乘法顺序改变后重新计算：4 × 5 × 3 = ?(c) 结果是否相同？为什么？解答：(a) 3 × 4 × 5 = 60(b) 4 × 5 × 3 = 60(c) 结果相同。
根据乘法交换律，乘法的顺序改变不会改变最终的结果。
2. 练习题二：结合律(a) 计算：(2 × 3) × 4 = ?(b) 将括号内的乘法顺序改变后重新计算：2 × (3 × 4) = ?(c) 结果是否相同？为什么？解答：(a) (2 × 3) × 4 = 24(b) 2 × (3 × 4) = 24(c) 结果相同。
根据结合律，无论括号内的乘法顺序如何改变，最终的结果都不会改变。
3. 练习题三：乘法交换律和结合律的综合运用(a) 计算：(5 × 2) × (3 × 4) = ?(b) 将乘法顺序和括号内的乘法顺序改变后重新计算：(4 × 3) × (2 × 5) = ?(c) 结果是否相同？为什么？解答：(a) (5 × 2) × (3 × 4) = 10 × 12 = 120(b) (4 × 3) × (2 × 5) = 12 × 10 = 120(c) 结果相同。
根据乘法交换律和结合律，乘法的顺序和括号内的乘法顺序的改变都不会改变最终的结果。
口算题 (乘法交换律和结合律) 1000题
8 × 125 × 8 = 25 × 73 × 4 = 25 × 84 × 4 = 86 × 25 × 4 = 88 × 25 × 4 = 17 × 25 × 4 = 25 × 47 × 4 = 38 × 25 × 4 = 25 × 25 × 4 = 125 × 5 × 8 = 42 × 25 × 4 = 8000 ÷ 8 ÷ 125 = 3000 ÷ 25 ÷ 4 = 14 × 25 × 4 = 25 × 91 × 4 = 6700 ÷ 25 ÷ 4 = 96 × 25 × 4 = 25 × 87 × 4 = 125 × 2 × 8 = 125 × 15 × 8 = 16000 ÷ 8 ÷ 125 = 13000 ÷ 25 ÷ 4 = 25 × 6 × 4 = 13000 ÷ 8 ÷ 125 = 5 × 125 × 8 = 25 × 66 × 4 = 2000 ÷ 25 ÷ 4 = 12000 ÷ 125 ÷ 8 = 800 ÷ 25 ÷ 4 = 14 × 125 × 8 = 7 × 125 × 8 = 25 × 26 × 4 = 62 × 25 × 4 = 1000 ÷ 8 ÷ 125 = 125 × 8 × 8 = 30 × 25 × 4 = 25 × 22 × 4 = 125 × 18 × 8 = 10000 ÷ 8 ÷ 125 = 5600 ÷ 25 ÷ 4 = 52 × 25 × 4 = 76 × 25 × 4 = 10000 ÷ 4 ÷ 25 =18 × 25 × 4 =15000 ÷ 8 ÷ 125 =练习范围： 月 日 姓名: 乘法交换律和结合律题数： 100 分 秒 成绩:25 × 59 × 4 =7800 ÷ 25 ÷ 4 =6000 ÷ 125 ÷ 8 = 18 × 125 × 8 =15 × 125 × 8 =7000 ÷ 125 ÷ 8 = 125 × 16 × 8 =1000 ÷ 125 ÷ 8 =7000 ÷ 25 ÷ 4 = 20000 ÷ 4 ÷ 25 =19000 ÷ 8 ÷ 125 =25 × 40 × 4 =25 × 75 × 4 =13 × 125 × 8 =11000 ÷ 8 ÷ 125 = 34 × 25 × 4 =10000 ÷ 125 ÷ 8 =20000 ÷ 125 ÷ 8 = 17000 ÷ 125 ÷ 8 =19 × 125 × 8 =7000 ÷ 8 ÷ 125 = 25 × 12 × 4 =10 × 125 × 8 =12000 ÷ 4 ÷ 25 = 2000 ÷ 125 ÷ 8 =20000 ÷ 25 ÷ 4 = 3 × 125 × 8 =28 × 25 × 4 =10000 ÷ 25 ÷ 4 =3000 ÷ 125 ÷ 8 = 85 × 25 × 4 =25 × 60 × 4 =6600 ÷ 25 ÷ 4 = 24 × 25 × 4 =18000 ÷ 125 ÷ 8 =26 × 25 × 4 =20 × 125 × 8 = 6 × 125 × 8 =125 × 6 × 8 =74 × 25 × 4 =25 × 48 × 4 =20000 ÷ 8 ÷ 125 = 125 × 10 × 8 =19000 ÷ 125 ÷ 8 =25 × 98 × 4 = 125 × 17 × 8 =5900 ÷ 25 ÷ 4 =8000 ÷ 4 ÷ 25 = 125 × 13 × 8 = 4 × 125 × 8 =125 × 3 × 8 =12 × 25 × 4 =16 × 125 × 8 =3000 ÷ 4 ÷ 25 = 5500 ÷ 25 ÷ 4 =25 × 33 × 4 = 13000 ÷ 125 ÷ 8 = 25 × 79 × 4 = 18 × 25 × 4 = 20000 ÷ 125 ÷ 8 = 34 × 25 × 4 = 94 × 25 × 4 = 13 × 25 × 4 = 20 × 25 × 4 = 14 × 25 × 4 = 8000 ÷ 125 ÷ 8 = 125 × 6 × 8 = 16 × 125 × 8 = 25 × 58 × 4 = 12000 ÷ 4 ÷ 25 = 12 × 125 × 8 = 8000 ÷ 8 ÷ 125 = 125 × 16 × 8 = 11000 ÷ 8 ÷ 125 = 1000 ÷ 8 ÷ 125 = 8200 ÷ 25 ÷ 4 = 5 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 18000 ÷ 125 ÷ 8 = 13 × 125 × 8 = 125 × 2 × 8 = 3 × 25 × 4 = 800 ÷ 25 ÷ 4 = 62 × 25 × 4 = 10000 ÷ 4 ÷ 25 = 5000 ÷ 4 ÷ 25 = 67 × 25 × 4 = 20 × 125 × 8 = 7000 ÷ 25 ÷ 4 = 2900 ÷ 25 ÷ 4 = 6000 ÷ 125 ÷ 8 = 4000 ÷ 125 ÷ 8 = 25 × 49 × 4 = 6300 ÷ 25 ÷ 4 = 24 × 25 × 4 = 125 × 18 × 8 = 2000 ÷ 8 ÷ 125 = 2 × 125 × 8 =96 × 25 × 4 =11000 ÷ 25 ÷ 4 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒8 × 125 × 8 =16000 ÷ 8 ÷ 125 =17 × 25 × 4 = 13000 ÷ 8 ÷ 125 =6700 ÷ 25 ÷ 4 = 4 × 125 × 8 = 11000 ÷ 4 ÷ 25 =4000 ÷ 25 ÷ 4 =125 × 19 × 8 = 3000 ÷ 125 ÷ 8 =9600 ÷ 25 ÷ 4 = 3 × 125 × 8 = 3000 ÷ 25 ÷ 4 =25 × 34 × 4 =25 × 98 × 4 =52 × 25 × 4 =25 × 59 × 4 =4000 ÷ 8 ÷ 125 = 15000 ÷ 4 ÷ 25 =25 × 43 × 4 =1700 ÷ 25 ÷ 4 = 1000 ÷ 4 ÷ 25 =25 × 60 × 4 =18 × 125 × 8 = 56 × 25 × 4 =7100 ÷ 25 ÷ 4 =19000 ÷ 125 ÷ 8 = 2000 ÷ 4 ÷ 25 =6000 ÷ 4 ÷ 25 =1600 ÷ 25 ÷ 4 = 11 × 25 × 4 =8400 ÷ 25 ÷ 4 =25 × 73 × 4 = 7000 ÷ 125 ÷ 8 =7000 ÷ 4 ÷ 25 = 6 × 25 × 4 = 9100 ÷ 25 ÷ 4 =19000 ÷ 4 ÷ 25 =17 × 125 × 8 = 9000 ÷ 125 ÷ 8 =19 × 125 × 8 =25 × 5 × 4 =25 × 12 × 4 =20000 ÷ 4 ÷ 25 =125 × 5 × 8 = 10000 ÷ 8 ÷ 125 =54 × 25 × 4 =25 × 91 × 4 = 14000 ÷ 4 ÷ 25 =125 × 4 × 8 =25 × 92 × 4 =25 × 26 × 4 = 4 × 25 × 4 =16000 ÷ 125 ÷ 8 = 15 × 25 × 4 =10 × 125 × 8 = 28 × 25 × 4 = 6500 ÷ 25 ÷ 4 = 10000 ÷ 25 ÷ 4 = 17000 ÷ 4 ÷ 25 = 15 × 125 × 8 = 12000 ÷ 125 ÷ 8 = 125 × 16 × 8 = 125 × 20 × 8 = 14000 ÷ 25 ÷ 4 = 8200 ÷ 25 ÷ 4 = 16 × 125 × 8 = 200 ÷ 25 ÷ 4 = 125 × 14 × 8 = 25 × 48 × 4 = 9 × 125 × 8 = 125 × 6 × 8 = 25 × 36 × 4 = 125 × 5 × 8 = 125 × 18 × 8 = 25 × 79 × 4 = 25 × 60 × 4 = 125 × 4 × 8 = 25 × 32 × 4 = 3000 ÷ 4 ÷ 25 = 25 × 61 × 4 = 125 × 7 × 8 = 74 × 25 × 4 = 125 × 19 × 8 = 8000 ÷ 8 ÷ 125 = 72 × 25 × 4 = 800 ÷ 25 ÷ 4 = 8 × 25 × 4 = 19 × 125 × 8 = 25 × 59 × 4 = 125 × 9 × 8 = 3000 ÷ 25 ÷ 4 = 5 × 125 × 8 = 2 × 125 × 8 = 6 × 125 × 8 = 25 × 92 × 4 = 4 × 125 × 8 = 1900 ÷ 25 ÷ 4 =6000 ÷ 125 ÷ 8 =13000 ÷ 4 ÷ 25 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒125 × 10 × 8 =2000 ÷ 4 ÷ 25 =17 × 25 × 4 = 15000 ÷ 125 ÷ 8 =15000 ÷ 4 ÷ 25 =17 × 125 × 8 = 7000 ÷ 25 ÷ 4 =10000 ÷ 8 ÷ 125 =25 × 40 × 4 =20 × 125 × 8 =8000 ÷ 4 ÷ 25 =125 × 13 × 8 = 18 × 25 × 4 =18 × 125 × 8 =4000 ÷ 125 ÷ 8 = 4000 ÷ 25 ÷ 4 =1000 ÷ 8 ÷ 125 =7300 ÷ 25 ÷ 4 = 1000 ÷ 125 ÷ 8 =12000 ÷ 8 ÷ 125 =19000 ÷ 125 ÷ 8 = 77 × 25 × 4 =67 × 25 × 4 =7000 ÷ 8 ÷ 125 = 5000 ÷ 125 ÷ 8 =25 × 39 × 4 =6000 ÷ 8 ÷ 125 = 125 × 12 × 8 =15000 ÷ 8 ÷ 125 =25 × 58 × 4 = 16000 ÷ 8 ÷ 125 =20000 ÷ 4 ÷ 25 =25 × 43 × 4 = 7000 ÷ 125 ÷ 8 =25 × 89 × 4 =25 × 99 × 4 =12 × 25 × 4 =25 × 26 × 4 =5100 ÷ 25 ÷ 4 = 5900 ÷ 25 ÷ 4 =25 × 52 × 4 =19000 ÷ 8 ÷ 125 = 25 × 17 × 4 =24 × 25 × 4 =18000 ÷ 125 ÷ 8 = 25 × 16 × 4 =2400 ÷ 25 ÷ 4 =16000 ÷ 125 ÷ 8 = 6000 ÷ 4 ÷ 25 =12 × 125 × 8 =25 × 73 × 4 =25 × 66 × 4 =3000 ÷ 125 ÷ 8 =25 × 34 × 4 =3 × 125 × 8 =13000 ÷ 8 ÷ 125 = 25 × 79 × 4 = 25 × 23 × 4 = 125 × 5 × 8 = 8000 ÷ 4 ÷ 25 = 40 × 25 × 4 = 17 × 25 × 4 = 5000 ÷ 125 ÷ 8 = 25 × 48 × 4 = 125 × 16 × 8 = 25 × 43 × 4 = 25 × 59 × 4 = 19000 ÷ 125 ÷ 8 = 6000 ÷ 4 ÷ 25 = 25 × 52 × 4 = 87 × 25 × 4 = 125 × 19 × 8 = 25 × 19 × 4 = 2000 ÷ 25 ÷ 4 = 7000 ÷ 125 ÷ 8 = 17000 ÷ 8 ÷ 125 = 17000 ÷ 25 ÷ 4 = 51 × 25 × 4 = 9000 ÷ 125 ÷ 8 = 5600 ÷ 25 ÷ 4 = 12 × 25 × 4 = 8 × 125 × 8 = 25 × 40 × 4 = 9300 ÷ 25 ÷ 4 = 8200 ÷ 25 ÷ 4 = 10000 ÷ 8 ÷ 125 = 38 × 25 × 4 = 3000 ÷ 25 ÷ 4 = 5 × 25 × 4 = 14 × 125 × 8 = 125 × 9 × 8 = 25 × 26 × 4 = 19000 ÷ 4 ÷ 25 = 12 × 125 × 8 = 16000 ÷ 4 ÷ 25 = 5000 ÷ 25 ÷ 4 = 25 × 73 × 4 = 17000 ÷ 4 ÷ 25 =18000 ÷ 125 ÷ 8 =800 ÷ 25 ÷ 4 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒125 × 4 × 8 =2800 ÷ 25 ÷ 4 =7000 ÷ 25 ÷ 4 = 19000 ÷ 8 ÷ 125 =26 × 25 × 4 =3000 ÷ 125 ÷ 8 = 25 × 27 × 4 =84 × 25 × 4 =12000 ÷ 125 ÷ 8 = 25 × 58 × 4 =4500 ÷ 25 ÷ 4 =3600 ÷ 25 ÷ 4 = 11000 ÷ 25 ÷ 4 =20 × 125 × 8 =77 × 25 × 4 =46 × 25 × 4 =13000 ÷ 125 ÷ 8 =18 × 25 × 4 = 10000 ÷ 4 ÷ 25 =9500 ÷ 25 ÷ 4 =24 × 25 × 4 = 125 × 12 × 8 =15000 ÷ 8 ÷ 125 =15 × 125 × 8 = 13 × 125 × 8 =4000 ÷ 25 ÷ 4 =74 × 25 × 4 =25 × 34 × 4 =5900 ÷ 25 ÷ 4 =125 × 20 × 8 = 17 × 125 × 8 =11000 ÷ 8 ÷ 125 =8 × 25 × 4 = 15000 ÷ 125 ÷ 8 =8000 ÷ 125 ÷ 8 =18 × 125 × 8 = 25 × 70 × 4 =8600 ÷ 25 ÷ 4 = 4 × 125 × 8 = 10000 ÷ 25 ÷ 4 =6400 ÷ 25 ÷ 4 =25 × 45 × 4 =96 × 25 × 4 =72 × 25 × 4 =9 × 25 × 4 =42 × 25 × 4 =19000 ÷ 25 ÷ 4 =16000 ÷ 125 ÷ 8 = 25 × 5 × 4 =7800 ÷ 25 ÷ 4 =25 × 91 × 4 =125 × 2 × 8 =71 × 25 × 4 = 3000 ÷ 4 ÷ 25 =7000 ÷ 4 ÷ 25 =3000 ÷ 125 ÷ 8 = 25 × 33 × 4 = 14000 ÷ 125 ÷ 8 = 7000 ÷ 4 ÷ 25 = 2000 ÷ 8 ÷ 125 = 6200 ÷ 25 ÷ 4 = 25 × 75 × 4 = 2600 ÷ 25 ÷ 4 = 25 × 44 × 4 = 125 × 18 × 8 = 25 × 48 × 4 = 12 × 25 × 4 = 2000 ÷ 125 ÷ 8 = 8800 ÷ 25 ÷ 4 = 13 × 125 × 8 = 85 × 25 × 4 = 7000 ÷ 125 ÷ 8 = 18000 ÷ 8 ÷ 125 = 87 × 25 × 4 = 62 × 25 × 4 = 19000 ÷ 125 ÷ 8 = 6700 ÷ 25 ÷ 4 = 25 × 58 × 4 = 3900 ÷ 25 ÷ 4 = 96 × 25 × 4 = 19 × 125 × 8 = 8000 ÷ 125 ÷ 8 = 12000 ÷ 125 ÷ 8 = 74 × 25 × 4 = 13000 ÷ 4 ÷ 25 = 19000 ÷ 4 ÷ 25 = 1000 ÷ 8 ÷ 125 = 4 × 125 × 8 = 8 × 25 × 4 = 7500 ÷ 25 ÷ 4 = 7000 ÷ 8 ÷ 125 = 25 × 92 × 4 = 42 × 25 × 4 = 12 × 125 × 8 = 12000 ÷ 8 ÷ 125 = 6 × 125 × 8 = 125 × 8 × 8 = 125 × 20 × 8 =7 × 125 × 8 =25 × 32 × 4 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒5000 ÷ 25 ÷ 4 =58 × 25 × 4 =4000 ÷ 125 ÷ 8 = 10 × 125 × 8 =11000 ÷ 125 ÷ 8 =25 × 12 × 4 = 6000 ÷ 125 ÷ 8 =11000 ÷ 8 ÷ 125 =25 × 13 × 4 = 7000 ÷ 25 ÷ 4 =25 × 49 × 4 =125 × 11 × 8 = 14 × 25 × 4 =17000 ÷ 125 ÷ 8 =25 × 35 × 4 = 8200 ÷ 25 ÷ 4 =17000 ÷ 8 ÷ 125 =20 × 125 × 8 = 11 × 125 × 8 =6000 ÷ 4 ÷ 25 =25 × 2 × 4 =125 × 7 × 8 =125 × 4 × 8 =10000 ÷ 8 ÷ 125 = 125 × 9 × 8 =16 × 125 × 8 =32 × 25 × 4 = 5000 ÷ 125 ÷ 8 =25 × 28 × 4 =8000 ÷ 8 ÷ 125 = 54 × 25 × 4 =6100 ÷ 25 ÷ 4 =125 × 12 × 8 = 77 × 25 × 4 =29 × 25 × 4 =25 × 66 × 4 =66 × 25 × 4 =25 × 76 × 4 =25 × 5 × 4 =15 × 125 × 8 =78 × 25 × 4 =10000 ÷ 25 ÷ 4 = 1000 ÷ 4 ÷ 25 =52 × 25 × 4 =25 × 60 × 4 =17 × 25 × 4 =14000 ÷ 8 ÷ 125 =18000 ÷ 125 ÷ 8 = 6400 ÷ 25 ÷ 4 =11000 ÷ 4 ÷ 25 =8000 ÷ 4 ÷ 25 =2000 ÷ 4 ÷ 25 =3000 ÷ 4 ÷ 25 = 1000 ÷ 125 ÷ 8 =125 × 5 × 8 =1000 ÷ 125 ÷ 8 = 18000 ÷ 125 ÷ 8 = 24 × 25 × 4 = 6 × 125 × 8 = 125 × 13 × 8 = 3 × 25 × 4 = 6000 ÷ 8 ÷ 125 = 18000 ÷ 8 ÷ 125 = 25 × 59 × 4 = 80 × 25 × 4 = 18 × 25 × 4 = 4 × 125 × 8 = 12000 ÷ 125 ÷ 8 = 17 × 125 × 8 = 1000 ÷ 4 ÷ 25 = 67 × 25 × 4 = 64 × 25 × 4 = 25 × 34 × 4 = 46 × 25 × 4 = 5600 ÷ 25 ÷ 4 = 5 × 25 × 4 = 25 × 4 × 4 = 16000 ÷ 125 ÷ 8 = 125 × 9 × 8 = 25 × 73 × 4 = 11000 ÷ 4 ÷ 25 = 65 × 25 × 4 = 25 × 49 × 4 = 125 × 6 × 8 = 16000 ÷ 8 ÷ 125 = 7000 ÷ 4 ÷ 25 = 19 × 125 × 8 = 25 × 12 × 4 = 5000 ÷ 125 ÷ 8 = 8000 ÷ 125 ÷ 8 = 17000 ÷ 8 ÷ 125 = 3000 ÷ 125 ÷ 8 = 12 × 25 × 4 = 125 × 4 × 8 = 88 × 25 × 4 = 92 × 25 × 4 = 10000 ÷ 25 ÷ 4 = 87 × 25 × 4 =2600 ÷ 25 ÷ 4 =125 × 2 × 8 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒25 × 66 × 4 =34 × 25 × 4 =23 × 25 × 4 = 85 × 25 × 4 =1000 ÷ 8 ÷ 125 =28 × 25 × 4 = 5000 ÷ 8 ÷ 125 =25 × 43 × 4 =125 × 7 × 8 = 20000 ÷ 25 ÷ 4 =13000 ÷ 8 ÷ 125 =8000 ÷ 4 ÷ 25 = 16 × 125 × 8 = 3 × 125 × 8 =1000 ÷ 25 ÷ 4 = 19000 ÷ 125 ÷ 8 =54 × 25 × 4 =125 × 15 × 8 = 25 × 40 × 4 =18000 ÷ 4 ÷ 25 =2500 ÷ 25 ÷ 4 = 9 × 125 × 8 =7000 ÷ 8 ÷ 125 =12 × 125 × 8 = 91 × 25 × 4 =16000 ÷ 4 ÷ 25 =125 × 19 × 8 = 12000 ÷ 4 ÷ 25 =3900 ÷ 25 ÷ 4 =3000 ÷ 25 ÷ 4 = 6400 ÷ 25 ÷ 4 =62 × 25 × 4 =8 × 125 × 8 = 25 × 92 × 4 =20000 ÷ 4 ÷ 25 =25 × 79 × 4 = 25 × 38 × 4 =3000 ÷ 4 ÷ 25 =7000 ÷ 25 ÷ 4 = 7000 ÷ 125 ÷ 8 =25 × 91 × 4 =4300 ÷ 25 ÷ 4 = 10000 ÷ 4 ÷ 25 =99 × 25 × 4 =9000 ÷ 125 ÷ 8 = 17 × 25 × 4 =19000 ÷ 4 ÷ 25 =25 × 27 × 4 = 6700 ÷ 25 ÷ 4 =14000 ÷ 125 ÷ 8 =125 × 11 × 8 = 25 × 48 × 4 =25 × 58 × 4 =14000 ÷ 4 ÷ 25 = 70 × 25 × 4 =125 × 18 × 8 = 24 × 25 × 4 = 25 × 72 × 4 = 18000 ÷ 125 ÷ 8 = 125 × 2 × 8 = 9 × 125 × 8 = 27 × 25 × 4 = 5000 ÷ 125 ÷ 8 = 5400 ÷ 25 ÷ 4 = 6000 ÷ 125 ÷ 8 = 25 × 59 × 4 = 54 × 25 × 4 = 125 × 16 × 8 = 3400 ÷ 25 ÷ 4 = 16 × 125 × 8 = 25 × 79 × 4 = 125 × 19 × 8 = 42 × 25 × 4 = 125 × 8 × 8 = 8 × 25 × 4 = 25 × 40 × 4 = 6000 ÷ 4 ÷ 25 = 3000 ÷ 4 ÷ 25 = 3 × 25 × 4 = 13000 ÷ 8 ÷ 125 = 25 × 36 × 4 = 16000 ÷ 8 ÷ 125 = 12 × 125 × 8 = 4000 ÷ 125 ÷ 8 = 17000 ÷ 125 ÷ 8 = 12000 ÷ 4 ÷ 25 = 5 × 25 × 4 = 6400 ÷ 25 ÷ 4 = 3 × 125 × 8 = 73 × 25 × 4 = 800 ÷ 25 ÷ 4 = 41 × 25 × 4 = 5 × 125 × 8 = 48 × 25 × 4 = 3000 ÷ 125 ÷ 8 = 9000 ÷ 125 ÷ 8 = 25 × 43 × 4 = 15000 ÷ 8 ÷ 125 =68 × 25 × 4 =13 × 125 × 8 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒10000 ÷ 125 ÷ 8 =6000 ÷ 8 ÷ 125 =47 × 25 × 4 =25 × 71 × 4 =1000 ÷ 25 ÷ 4 =25 × 48 × 4 =34 × 25 × 4 =9500 ÷ 25 ÷ 4 =19 × 125 × 8 = 17 × 25 × 4 =10000 ÷ 25 ÷ 4 =8000 ÷ 4 ÷ 25 = 125 × 15 × 8 =10000 ÷ 4 ÷ 25 =67 × 25 × 4 = 125 × 5 × 8 =25 × 74 × 4 =125 × 10 × 8 = 15000 ÷ 125 ÷ 8 =125 × 13 × 8 =11 × 125 × 8 = 25 × 34 × 4 =16 × 25 × 4 =25 × 60 × 4 = 125 × 7 × 8 =19000 ÷ 125 ÷ 8 =8300 ÷ 25 ÷ 4 = 8200 ÷ 25 ÷ 4 =8 × 125 × 8 =12 × 25 × 4 = 3000 ÷ 25 ÷ 4 =17000 ÷ 8 ÷ 125 =14000 ÷ 8 ÷ 125 = 125 × 17 × 8 =6700 ÷ 25 ÷ 4 =84 × 25 × 4 =25 × 80 × 4 =10000 ÷ 8 ÷ 125 =12000 ÷ 8 ÷ 125 = 25 × 75 × 4 =62 × 25 × 4 =9000 ÷ 8 ÷ 125 = 87 × 25 × 4 =125 × 6 × 8 =77 × 25 × 4 =25 × 26 × 4 =25 × 13 × 4 = 6 × 125 × 8 =25 × 92 × 4 =46 × 25 × 4 =7900 ÷ 25 ÷ 4 = 85 × 25 × 4 =125 × 9 × 8 =1000 ÷ 8 ÷ 125 = 25 × 98 × 4 =5 × 125 × 8 = 7000 ÷ 25 ÷ 4 = 9000 ÷ 25 ÷ 4 = 9000 ÷ 125 ÷ 8 = 2000 ÷ 8 ÷ 125 = 74 × 25 × 4 = 6400 ÷ 25 ÷ 4 = 20000 ÷ 125 ÷ 8 = 25 × 66 × 4 = 13 × 125 × 8 = 51 × 25 × 4 = 19000 ÷ 4 ÷ 25 = 12 × 125 × 8 = 25 × 74 × 4 = 6000 ÷ 4 ÷ 25 = 5000 ÷ 8 ÷ 125 = 5600 ÷ 25 ÷ 4 = 62 × 25 × 4 = 25 × 26 × 4 = 125 × 3 × 8 = 25 × 60 × 4 = 25 × 73 × 4 = 46 × 25 × 4 = 25 × 40 × 4 = 25 × 37 × 4 = 5000 ÷ 125 ÷8 = 25 × 35 × 4 = 4000 ÷ 8 ÷ 125 = 6000 ÷ 125 ÷ 8 = 17 × 125 × 8 = 16000 ÷ 125 ÷ 8 = 10000 ÷ 8 ÷ 125 = 34 × 25 × 4 = 5800 ÷ 25 ÷ 4 = 15 × 125 × 8 = 25 × 34 × 4 = 24 × 25 × 4 = 6700 ÷ 25 ÷ 4 = 125 × 16 × 8 = 8 × 25 × 4 = 15000 ÷ 125 ÷ 8 = 25 × 98 × 4 = 77 × 25 × 4 =20 × 125 × 8 =4000 ÷ 125 ÷ 8 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒18 × 125 × 8 =3000 ÷ 4 ÷ 25 =25 × 43 × 4 =25 × 91 × 4 =3000 ÷ 125 ÷ 8 =90 × 25 × 4 = 16000 ÷ 4 ÷ 25 =7000 ÷ 8 ÷ 125 =15000 ÷ 8 ÷ 125 = 18000 ÷ 125 ÷ 8 =2000 ÷ 4 ÷ 25 = 4 × 125 × 8 =87 × 25 × 4 =12000 ÷ 8 ÷ 125 =800 ÷ 25 ÷ 4 = 10000 ÷ 125 ÷ 8 =25 × 88 × 4 =19 × 125 × 8 = 16 × 25 × 4 =125 × 2 × 8 =125 × 14 × 8 = 6100 ÷ 25 ÷ 4 =96 × 25 × 4 =7000 ÷ 125 ÷ 8 = 25 × 75 × 4 =300 ÷ 25 ÷ 4 =11000 ÷ 4 ÷ 25 = 7800 ÷ 25 ÷ 4 =125 × 5 × 8 =55 × 25 × 4 =25 × 92 × 4 =25 × 6 × 4 =7 × 125 × 8 =18 × 25 × 4 =25 × 48 × 4 =125 × 7 × 8 =11 × 125 × 8 =1000 ÷ 4 ÷ 25 =125 × 17 × 8 = 85 × 25 × 4 =1000 ÷ 8 ÷ 125 =3300 ÷ 25 ÷ 4 = 25 × 12 × 4 =16000 ÷ 8 ÷ 125 =25 × 50 × 4 = 125 × 6 × 8 =125 × 10 × 8 =6000 ÷ 25 ÷ 4 = 38 × 25 × 4 =12000 ÷ 4 ÷ 25 =2000 ÷ 125 ÷ 8 = 6 × 125 × 8 =25 × 2 × 4 =2300 ÷ 25 ÷ 4 = 19000 ÷ 8 ÷ 125 =6000 ÷ 125 ÷ 8 = 10 × 125 × 8 = 1000 ÷ 4 ÷ 25 = 96 × 25 × 4 = 18 × 125 × 8 = 27 × 25 × 4 = 16000 ÷ 8 ÷ 125 = 1100 ÷ 25 ÷ 4 = 7000 ÷ 125 ÷ 8 = 9000 ÷ 125 ÷ 8 = 25 × 46 × 4 = 25 × 40 × 4 = 6000 ÷ 4 ÷ 25 = 5600 ÷ 25 ÷ 4 = 20000 ÷ 25 ÷ 4 = 125 × 11 × 8 = 25 × 53 × 4 = 52 × 25 × 4 = 83 × 25 × 4 = 25 × 48 × 4 = 125 × 15 × 8 = 13 × 125 × 8 = 100 ÷ 25 ÷ 4 = 98 × 25 × 4 = 7000 ÷ 25 ÷ 4 = 18000 ÷ 125 ÷ 8 = 25 × 24 × 4 = 15000 ÷ 8 ÷ 125 = 24 × 25 × 4 = 1000 ÷ 125 ÷ 8 = 25 × 59 × 4 = 25 × 55 × 4 = 15 × 125 × 8 = 6400 ÷ 25 ÷ 4 = 8 × 25 × 4 = 54 × 25 × 4 = 25 × 67 × 4 = 16000 ÷ 4 ÷ 25 = 25 × 91 × 4 = 10000 ÷ 25 ÷ 4 = 25 × 34 × 4 = 2000 ÷ 125 ÷ 8 = 125 × 9 × 8 =1000 ÷ 8 ÷ 125 =125 × 10 × 8 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒3000 ÷ 4 ÷ 25 =34 × 25 × 4 =3400 ÷ 25 ÷ 4 = 25 × 61 × 4 =125 × 12 × 8 =25 × 66 × 4 = 19000 ÷ 125 ÷ 8 =3000 ÷ 125 ÷ 8 =4000 ÷ 8 ÷ 125 = 9200 ÷ 25 ÷ 4 =25 × 79 × 4 =7000 ÷ 8 ÷ 125 = 5000 ÷ 8 ÷ 125 =62 × 25 × 4 =16 × 125 × 8 = 14 × 25 × 4 =25 × 56 × 4 =5000 ÷ 4 ÷ 25 = 19000 ÷ 4 ÷ 25 =25 × 73 × 4 =7800 ÷ 25 ÷ 4 = 25 × 20 × 4 =25 × 76 × 4 = 6 × 125 × 8 = 7000 ÷ 4 ÷ 25 =85 × 25 × 4 =125 × 16 × 8 = 8 × 125 × 8 =9000 ÷ 4 ÷ 25 =25 × 75 × 4 =17 × 25 × 4 =125 × 19 × 8 = 5 × 125 × 8 =18 × 25 × 4 =11000 ÷ 125 ÷ 8 =25 × 58 × 4 = 125 × 4 × 8 =25 × 95 × 4 =25 × 81 × 4 = 10000 ÷ 4 ÷ 25 =12000 ÷ 4 ÷ 25 =25 × 60 × 4 = 17 × 125 × 8 =11000 ÷ 4 ÷ 25 =87 × 25 × 4 = 18000 ÷ 4 ÷ 25 =3000 ÷ 25 ÷ 4 =125 × 5 × 8 = 25 × 52 × 4 =8200 ÷ 25 ÷ 4 = 5 × 25 × 4 =42 × 25 × 4 =600 ÷ 25 ÷ 4 = 8000 ÷ 125 ÷ 8 =14000 ÷ 4 ÷ 25 =19 × 125 × 8 = 19000 ÷ 125 ÷ 8 = 54 × 25 × 4 = 125 × 16 × 8 = 3000 ÷ 125 ÷ 8 = 25 × 82 × 4 = 125 × 10 × 8 = 66 × 25 × 4 = 34 × 25 × 4 = 3700 ÷ 25 ÷ 4 = 25 × 56 × 4 = 15 × 125 × 8 = 14 × 25 × 4 = 6000 ÷ 8 ÷ 125 = 125 × 19 × 8 = 25 × 40 × 4 = 13 × 125 × 8 = 3900 ÷ 25 ÷ 4 = 14000 ÷ 8 ÷ 125 = 8700 ÷ 25 ÷ 4 = 9000 ÷ 25 ÷ 4 = 16000 ÷ 8 ÷ 125 = 24 × 25 × 4 = 2000 ÷ 4 ÷ 25 = 1000 ÷ 125 ÷ 8 = 25 × 92 × 4 = 18000 ÷ 125 ÷ 8 = 6600 ÷ 25 ÷ 4 = 18000 ÷ 4 ÷ 25 = 7800 ÷ 25 ÷ 4 = 14000 ÷ 4 ÷ 25 = 87 × 25 × 4 = 5 × 25 × 4 = 15000 ÷ 8 ÷ 125 = 25 × 43 × 4 = 7700 ÷ 25 ÷ 4 = 800 ÷ 25 ÷ 4 = 5000 ÷ 125 ÷ 8 = 46 × 25 × 4 = 125 × 5 × 8 = 7000 ÷ 25 ÷ 4 = 13000 ÷ 8 ÷ 125 = 25 × 98 × 4 =67 × 25 × 4 =125 × 15 × 8 =练习范围：乘法交换律和结合 律 题数： 100姓名:成绩:月 日分 秒6700 ÷ 25 ÷ 4 =125 × 4 × 8 =39 × 25 × 4 =16 × 125 × 8 =125 × 3 × 8 =6000 ÷ 125 ÷ 8 = 1000 ÷ 4 ÷ 25 =125 × 12 × 8 =12 × 125 × 8 = 19000 ÷ 8 ÷ 125 =19000 ÷ 4 ÷ 25 =7000 ÷ 8 ÷ 125 = 25 × 66 × 4 =19 × 25 × 4 =12000 ÷ 125 ÷ 8 = 25 × 78 × 4 =8400 ÷ 25 ÷ 4 =5000 ÷ 8 ÷ 125 = 25 × 58 × 4 =4400 ÷ 25 ÷ 4 =17000 ÷ 4 ÷ 25 = 13000 ÷ 4 ÷ 25 =25 × 73 × 4 =7 × 125 × 8 = 9000 ÷ 125 ÷ 8 =4100 ÷ 25 ÷ 4 =10000 ÷ 25 ÷ 4 = 63 × 25 × 4 =96 × 25 × 4 =125 × 11 × 8 = 18 × 25 × 4 =125 × 8 × 8 =25 × 34 × 4 = 13000 ÷ 125 ÷ 8 =8000 ÷ 125 ÷ 8 =83 × 25 × 4 =29 × 25 × 4 =4300 ÷ 25 ÷ 4 =6000 ÷ 4 ÷ 25 = 8 × 125 × 8 =25 × 75 × 4 =25 × 59 × 4 =17 × 25 × 4 =20000 ÷ 8 ÷ 125 =6400 ÷ 25 ÷ 4 = 74 × 25 × 4 =25 × 49 × 4 =25 × 48 × 4 =3 × 125 × 8 =25 × 93 ×4 =7000 ÷ 4 ÷ 25 = 125 × 13 × 8 = 5 × 125 × 8 =200 ÷ 25 ÷ 4 = 125 × 2 × 8 =。
第三单元乘法交换律和结合律练习
第三单元乘法交换律和结合律练习It was last revised on January 2, 2021乘法交换律和结合律练习（做前必读）要想运用运算定律做好简便运算，要注意以下几点：1、要仔细观察算式，如果算式里只有乘法，一般用到乘法交换和结合律，如果只有加法，一般用到加法交换和结合律，如果既有加又有乘，一般用到乘法分配律。
当然要注意一些变式。
2、还要观察算式里面的特殊数字，如25和4,125和8,2和5等，有时101可以变成（100+1），想想如何利用好这些特殊数字。
3、要熟练掌握运算定律的字母表示形式，并注意多动脑思考。
简便运算越做越有趣，祝大家学得开心。
综合练习一（1）乘法交换律：a×b＝b×a 乘法结合律：（a×b）×c＝a×（b×c）38×25×4 42×125×8 25×17×4 （25×125）×（8×4） 49×4×538×125×8×3 (125×25)×4 5 ×289×2 （125×12）×8 125×（12×4）(2) 乘法交换律和结合律的变化练习125×64 125×88 44×25 125×24 25×28（3）加法交换律：a＋b＝b＋a 加法结合律：（a＋b）＋c＝a＋（b＋c）357＋288＋143 158＋395＋105 167＋289＋33 129＋235＋171＋165378＋527＋73 169＋78＋22 58＋39＋42＋61 138＋293＋62＋107（25×125）×（8×4）（4+8）×25 35×37+65×37135×6+65×6 （43+25）×40 8×（125+7）18×82+18×47+18×712 5×（40－4）16×256－16×56125×（80+8） 69×45+31×45 38×29+38123×99 +123 125 ×7+125 79 ×99+7935×102 47×101 25×4445×201－45 98×37 38×101－3887×199 25×199+25 25×19999×201－99 102×83 125×88124×25－25×24 （80+8）×25 35×37+65×37 135×6+65×6 （43+25）×40 8×（125+7）18×82+18×47+18×71 4×24+26×24 30×2+25×2 299 ×120+120 38×25×4? 8×17×1254×8×25×12535×2×5=35×（2×）（60×25）×4=60×（ ×）125×5×8=（ ×）×5125×32 （8×125）×（4×25） 8×4×125×25125×8×825×6×4 125×8×4 64×125 （25×4）×6125×16 16×25 42×125×8２７×４×５８×（７×２５）２５×１２195×25×4 2×125×8×5 125×489×4综合练习二一、用简便方法计算下面各题23×15×2 125×7×8 250×56×4 75×9×220×17×2×5×2×2 110×2+90×2? （110+90）×212×105 （30×25）×40 44×25×8 98×21748×125 28×16 25×12 125×32 125×24 二、在□里填上适当的数35×8=35×(□×□) 45×12=45×(□×□)16×15=16×(□×□) 18×25=18×(□×□)125×32=125×(□×□) 25×24=25×(□×□)三、判断18×12×5=18×(12×5)，这应用了乘法结合律。
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乘法结合律和交换律练习
一、复习引入
上节课我们学习了乘法结合律和乘法交换律，“乘号宝宝”想知道大家学得怎样，请看大屏幕，它给我们带来的问题：
⑴乘法结合律用字母表示为：——
乘法交换律用字母表示为：——
⑵你能用自己的话表达乘法的两个运算律吗？指名回答。
⑶抢答：
136×947=947×□358×1002=1002×□
(15×4）×10=15×(□×□)（125×8）×5=□×(□×□)
二、探究新知
１、观察下面算式125×7×8，想一想：怎样算比较简易？
（1）学生独立计算，教师巡视。
指3名学生板演
125×7×8 125×7×8 125×7×8
=875×8 =125×8×7 =7×125×8
=7000 =1000×7 =7×1000
=7000 =7000
（2）小组交流：自己是怎样想的？对比评价一下与别人的计算方法有什么不一样?
（3）全班交流。
留意让学生体会：125×8×7和7×（125×8）是运用了哪种运算律得来的？为什么要把125和8乘起来？
（4）教师小结：显然第2和第3种方法比较简易。
不管哪一种都是利用125和8相乘整千，再和7相乘就可以直接口算了。
2、观察25×16怎样进行简易计算?
（1）小组讨论，教师巡视引导
（2）全班交流：重点提出为什么要把16分解成4×4的形式？
3讨论：观察以上两道题，小组讨论：在乘法运算中怎样进行简易计算？⑵全班交流后教师总结⑶在乘法算式中应根据因数的特点来选择简易算法，有5去找2，有25去找4，有125去找8，从而使两个数在相乘后积成为整十、整百、整千数。
三、巩固练习
1、自主练习第3题怎样简易就怎样计算
[设计意图]强化学生对简易算法的应用。
2、自主练习第4题解决实际问题
3、自主练习第5题解决实际问题
四、课堂总结：评价一下自己在学习及其他方面的收获。
课后反思：
乘法结合律练习
一、谈话导入：
前面我们一起学习了乘法运算律，研究了如何运用乘法运算律进行简易计算。
这样一来，“乘号宝宝”可骄慢啦！“除号宝宝”不高兴了。
你瞧，他那难过的样子，咱们一起来安慰安慰他吧！
二、合作探究寻找规律
（一）探索乘除法各部分之间的关系
1、师∶同学们还记得吗？乘法和除法之间有着密切的关系。
比如：我们在二年级学的根据乘法口诀四八三十二咱们就能写出四道算式，指名口答。
2、出示35÷7=5，根据这道除法算式我们可以写出相应的除法算式和乘法算式。
指名口答教师板书：35÷5=7 5×7=35或7×5=35
3、根据780÷13=60独立写出一道除法算式和一道乘法算式，指名交流。
4、每人根据刚才的样子，多写一些这样的算式，小组交流。
5、根据c÷b=a，写出一道乘法和一道除法算式。
6、通过以上例子，你发现了什么？
7、教师小结乘除法之间的关系，并结合学生交流板书：
一个因数=积÷另一个因数被除数=商×除数除数=被除数÷商
[设计意图]：根据学生已有的知识经验，在充分距离的基础上，总结出乘除法之间的关系。
使学生对乘除法之间的关系的认识有了理性的提高。
（二）探索除法运算规律
1、师：知道乘除法之间存在这么密切的关系“除法宝宝”脸上露出了微笑，可是他又有新的问题了，出示：乘法有那么多运算律，我们除法有没有运算规律呀？
2、出示课本22页第7题：猜一猜两边的算式会有什么关系？然后独立计算，比较两边算式的大小。
3、小组交流自己的发现
4、全班交流，教师小结：一个数持续除以两个数，等于这个数除以这两个数的乘积，用字母表示为:a÷b÷c=a÷(b×c)
5、利用这个规律计算22页第7题第2小题
[设计意图]：以上环节充分发挥教师的引导作用、学生的主体作用，根据学生已有的知识经验，在猜测、观察、交流中探索除法的运算规律。
三、巩固练习运用规律
1、23页第8题，看谁算的又对又快，说一说怎样算的？
2、补充练习：生活中的数学
⑴四年级一班有12个小组，每组有4人，每人能做5个手工制品，这个班的同学一共能做多少个？
⑵玲玲家有一个房间长4米，宽3米，用面积25平方分米的方砖铺地，需要多少块？
3、开放题第23页第9题
独立思考，交流解题策略
[设计意图]这一环节中由浅入深，具有一定的思考性，有利于学生内化所学知识，既训练了学生的思维，又提高了学生分析问题，解决问题的能力。
四、课堂总结
1、这节课，你有什么收获？
2、教师总结，最后出示除号宝宝的笑脸。