四年级数学下册乘法交换律和结合律练习题汇编
四年级交换律结合律分配律试题
四年级交换律结合律分配律试题一、交换律、结合律、分配律知识点回顾1. 加法交换律定义：两个数相加，交换加数的位置，和不变。
用字母表示为a + b=b + a。
例如：3+5 = 5+3，结果都是8。
2. 加法结合律定义：三个数相加，先把前两个数相加，或者先把后两个数相加，和不变。
用字母表示为(a + b)+c=a+(b + c)。
例如：(2 + 3)+4=2+(3 + 4)，(2+3)+4 = 5+4=9，2+(3 + 4)=2 + 7 = 9。
3. 乘法交换律定义：两个数相乘，交换因数的位置，积不变。
用字母表示为a× b = b× a。
例如：3×5=5×3 = 15。
4. 乘法结合律定义：三个数相乘，先把前两个数相乘，再和另外一个数相乘，或先把后两个数相乘，再和另外一个数相乘，积不变。
用字母表示为(a× b)× c=a×(b× c)。
例如：(2×3)×4=2×(3×4)，(2×3)×4 = 6×4 = 24，2×(3×4)=2×12 = 24。
5. 乘法分配律定义：两个数的和与一个数相乘，可以先把它们分别与这个数相乘，再相加。
用字母表示为(a + b)× c=a× c + b× c。
例如：(2+3)×4=2×4+3×4，(2 + 3)×4=5×4 = 20，2×4+3×4 = 8+12 = 20。
二、试题及解析1. 加法交换律试题题目：计算45+32，并用加法交换律进行验算。
解析：首先计算45+32 = 77。
然后根据加法交换律a + b=b + a，交换45和32的位置，计算32+45，结果也是77，说明计算正确。
2. 加法结合律试题题目：计算23+(17+29)。
《乘法交换律和结合律》达标检测(1)新人教版四年级下册数学
1.《乘法交换律和结合律》达标检测1.口算。
35×4＝14×5＝16×5＝15×6＝18×5＝25×8＝15×4＝2.根据运算定律在里填上适当的数。
25×52＝52×29×4×25－29×（×）（25×37）×＝37×（×4）125×（4×）＝（125×）×93.先计算，再运用乘法交换律进行验算。
35×28 225×424.计算下面各题，怎样简便就怎样计算。
57×25×4 250×13×4 125×72 125×25×4×85.解决问题。
（1）买12包书，一共用多少钱？（2）小明每天在家和学校之间要走2个来回，他一个星期（按5天计算）往返学校，一共要走多少米？6.填一填。
（1）25×6××4＝4200 （2）125××4×9＝360002.《乘法交换律和结合律》达标检测1.口算。
15×6＝35×4＝ 25×6＝18×＝125×8＝15×8＝55×2＝14×5＝2.根据乘法运算定律，在里填上适当的数。
（1）14×15＝15×（2）125×9×8＝××9（3）（12×25）×＝12×（×4）（4）125×（4×）＝（125×）×18（5）7×6×8×5＝（7×6）×（×）3.下面的算式分别运用了什么运算定律？36×15＝15×36 （） 25×17×4＝24×5×17 （）56×5×2＝56×（5×2）（）8×7×125＝7×（8×125）（）4.计算下面各题，并用乘法交换律验算。
人教版四年级 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○125×8×327×4×25○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( )。
A.600030B.603000C.6003002、与480×40的积一样的算式是( )。
A.48×40B.480×400C.48×4003、用两个4和三个0可以组成( )个不同的五位数。
(完整)四年级运算定律练习题
运算定律练习题（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＋165 378＋527＋73 169＋78＋22 58＋39＋42＋61 138＋293＋62＋107（4）乘法分配律：（a＋b）×c＝a×c＋b×c 正用练习（80＋4）×25 （20＋4）×25 （125＋17）×8 25×（40＋4）15×（20＋3）（5）乘法分配律正用的变化练习：36×3 25×41 39×101 125×88 201×24 （6）乘法分配律反用的练习：34×72＋34×28 35×37＋65×37 85×82＋85×1825×97＋25×3 76×25＋25×24（7）乘法分配律反用的变化练习：38×29＋38 75×299＋75 64×199＋64 35×68＋68＋68×64☆思考题：（8）其他的一些简便运算。
新人教版四年级下册乘法交换律和结合律
（2）如果小明一家和姑姑一家总共4名孩子、6名 大人一起去玩，他们拿出300元买门票够吗？ 应该怎样买？
读完题，同桌同 检学验互一相下说！一你说的知 答道案了合哪适些吗信？息。
分开购票：20×4＋40×6＝80＋240＝320（元） 够团体票：30×（4＋6）＝30×10＝300（元） 300元＜320元 答：他们应该买团体票，这样300元就够了。
六
单 的计算法则
元
：
小
数 小数加、减混
的 加
合运算的运算
法 顺序
和
减 法
小数加、减法
的简便运算
具体内容
（1）小数点要对齐，也就是相同数位要对齐； （2）得数的小数部分末尾有0，一般要把0去掉，给小
数化简。
与整数加、减混合运算的运算顺序相同。在没有括号的算式里， 如果只有加法和减法，就按照从左到右的顺序计算；算式里有 括号的，要先算括号里面的。
＝（142＋58）＋（914＋86） ＝200＋1000 ＝1200
（2）35×125×8
＝35×（125×8） ＝35×1000 ＝35000
（3）356－127－73
＝356－（127＋73） ＝356－200 ＝156
（4）75×101
＝75×（100＋1） ＝75×100＋75×1 ＝7500＋75 ＝7575
整数的运算定律在小数运算中同样适用。
二、基础练习
1. 在（ ）里填上适当的数或文字。 （1）3.46读作（ 三点四）六，其中“3”在（ ）位个上，表示3个（ ）； 一
小数的近似数
要点提示
小数每相邻两个计数单位间的进率是10。 整数部分最小的计数单位是一，小数部分最大的计数单位是十分之一。
苏教版四年级数学下册 第3课时 乘法交换律和结合律及其简便运算 课课练习题
第3课时乘法交换律和结合律及其简便运算
1、填一填，并在应用了乘法交换律的式子后面画“☆”，应用了乘法结合律的式子后面“○”。
36×□＝72×□（）
8×19×5＝19×（□×□）（）
□×m＝n×□（）
2×（5×17）＝（2×□）×□（）
2、算一算，比一比。
43×2×5 43×（2×5）
8×21×5 21×（8×5）
3、你能很快说出每盆花上三个数连乘的积吗？把得数写在花盆上。
4、用简便方法计算下面各题。
13×4×5 17×25×4
35×21×2 6×18×5
5、
6、工地运来5车水泥，每车20袋，每袋50千克，一共运来多少千克水泥？
7、一个游泳池的泳道是50米，小明在这个游泳池中游了7个来回，他一共游了多少米？
教师的职务是‘千教万教，教人求真’;学生的职务是‘千学万学，学做真人’。
我们发现了儿童有创造力，认识了儿童有创造力，就须进一步把儿童的创造力解放出来。
——好词好句。
交换律、结合律和分配律的四年级计算题
交换律、结合律和分配律的四年级计算题介绍交换律、结合律和分配律是数学运算中常用的基本法则。
在四年级的研究中，学生需要掌握并运用这些法则来解决各种计算题。
交换律定义交换律是指在某些数学运算中，改变运算对象的顺序不会改变结果。
具体来说，对于加法和乘法运算，交换律的定义如下：- 加法交换律：a + b = b + a- 乘法交换律：a × b = b × a例子以下是一些具体的交换律的计算题例子：1. 3 + 2 = 2 + 32. 4 × 5 = 5 × 4结合律定义结合律是指在某些数学运算中，改变运算对象的分组方式不会改变结果。
具体来说，对于加法和乘法运算，结合律的定义如下：- 加法结合律：(a + b) + c = a + (b + c)- 乘法结合律：(a × b) × c = a × (b × c)例子以下是一些具体的结合律的计算题例子：1. (2 + 3) + 4 = 2 + (3 + 4)2. (4 × 5) × 2 = 4 × (5 × 2)分配律定义分配律是指在某些数学运算中，一个数与一组数的运算结果再与另一个数进行运算，与先将这个数与每个数分别运算后再进行运算得到的结果相同。
具体来说，对于加法和乘法运算，分配律的定义如下：- 加法分配律：a × (b + c) = (a × b) + (a × c)- 乘法分配律：a × (b + c) = (a × b) + (a × c)例子以下是一些具体的分配律的计算题例子：1. 2 × (3 + 4) = (2 × 3) + (2 × 4)2. 3 × (4 + 5) = (3 × 4) + (3 × 5)结论交换律、结合律和分配律是数学运算中的基本法则，对于四年级的学生来说是必须掌握和理解的概念。
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
四年级下口算题 (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：乘法交换律和结合律 题数：100月 日姓名: 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月日姓名: 分秒成绩: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月日姓名: 分秒成绩: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月日姓名: 分秒成绩: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 =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月日姓名: 分秒成绩: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 =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月日姓名: 分秒成绩: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月日姓名: 分秒成绩: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月日姓名: 分秒成绩: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月日姓名: 分秒成绩: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 =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月日姓名: 分秒成绩: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 =。
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。