小学四年级数学上册乘法交换律和结合律练习
小学数学四年级练习题——加法、乘法交换律与结合律基础知识训练题
小学四年级数学——加法、乘法交换律与结合律一、概念填空。
1、两个数相乘，交换乘数的（），积不变，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、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（）。
4、两个数相加，交换加数的（），和不变，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、①82+56+18=56+(82+18) 是根据加法( )律和( )律；②4×125×8 =4×(125×8)，这里运用了乘法( )律；③(25×18)×4=18×(25×4）。
这里运用了乘法( )律和( )律。
④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。
⑤25×（20×28）＝（25×20）×28 这是运用了（）律。
⑥用简便方法计算66＋98＋34，要先算（），这是根据（）律。
二、选择题。
1、下面一个零也不读的数是( )。
A.50060B.56000C.506002、与480×40的积一样的算式是( )。
A.48×40B.480×400C.48×4003、用两个2和三个0可以组成( )个不同的五位数。
A.3B.4C.54、42＋27＋58＋43＝(42＋58)＋(27＋43)运用了( )。
A.加法交换律B.加法结合律C.加法交换律和结合律5、49×25×4＝49×(25×4)运用了( )。
A.乘法交换律B.乘法分配律C.乘法结合律6、下面算式中( )运用了乘法交换律和结合律。
四年级数学上册第四单元 《运算律》知识点归纳及练习
四年级数学上册第四单元《运算律》知识点归纳及练习第四单元：运算律乘法结合律乘法结合律指的是，三个数相乘时，先将前两个数相乘，再将结果与第三个数相乘；或者先将后两个数相乘，再将结果与第一个数相乘，得到的积不变。
用字母表示为：(a×b)×c=a×(b×c)。
应用乘法结合律的时机是，当几个数相乘时，如果其中两个数相乘得出整十、整百或整千的数，就可以应用乘法交换律和乘法结合律，以改变乘法运算的顺序。
例如，25×4、50×2、125×8、50×4、500×2等。
加法运算也有结合律，用字母表示为：(a+b)+c=a+(b+c)。
乘法交换律乘法交换律指的是，两个数相乘时，交换它们的位置，积不变。
用字母表示为：a×b=b×a。
这个规律也可以推广到更多个数相乘的情况。
例如，125×4×8×25=（125×8）×（25×4）=1000×100=.加法运算也有交换律，用字母表示为：a+b=b+a。
运用加法交换律和结合律可以使得一些运算更简便。
例如，50+7+40+9=（50+40）+（7+9）=90+16=106.练题：1.73×25×42.125×63×83.4×(25×93)÷125×54.12×125×5×85.32×125×256.48乘法分配律乘法分配律指的是，两个数的和（或差）与一个数相乘，可以将两个加数（或被减数、减数）分别与这个数相乘，再将两个积相加（或相减），结果不变。
用字母表示为：(a+b)×c=a×c+b×c或(a-b)×c=a×c－b×c。
四年级乘法交换律和结合律强化训练题
小学四年级数学上册乘法交换律与结合律专项训练知识要点：123x 99 +123125 x 7+12579 x 99+79二、计算下列各题能简算要简算35x 10247x 10125x 4498x 37 87x 199 25x 19945x 201－45 38x 101－38 25x 199+2599x 201－99102x 83 125x 88乘法分配律 （a+b ） x c=a x c+b x c 乘法交换律 axb=b x a 一、计算下列各题 乘法结合律 (a >b) X c=a x (b >C) 加法结合律 (a+b)+c=a+(b+c)(25 x 125)x( 8X 4) (4+8)x 25 35x 37+65x 37135x 6+65x 6 43+25)x 40 8x( 125+7)18x 82+18x 47+18x 712 5x( 40－ 4) 16x 256－16 x 56125x( 80+8)69x 45+31 x 45 38x 29+384X 24+26X 24 30X 2+25X 2 (30X 25)X 4033X 15X 2 25 X 7X 4X 325X 50X 8 25 X 125X 16125X 32X 25 4X (25 X 9)16X 25X 12538X 5X 45X (19 X 2) 4X 45X 2525X 23X 8 125 X 72(25 X 125) X 32(30X 25) X 40(15X 25) X 415X (25 X 4)(6 X 12) X 56X (12 X 5)(13X 5) X 205 X (13 X20)125X 4835X 2X 5(60X 25) X 4125X 5X 864X 125125X 3225X 35X 16 125X 24124 X 25-25 X 24 (80+8)X 25 35X 37+65X 37135X 6+65X 643+25)X 40 8X ( 125+7)18X 82+18X 47+18X 71三、直接写得数25 X4= 4 25X 5X2= 12 5= (15X25) X4 =6 X12 X5)=8 125= 20 X5= 50 4=(6 X12) X5=13 (5 X20)=四、用简便方法计算4 X8 X25X12535 X2 X5=35 X( 2 J)125 X5 X8= (__ X_) X5(8 刈25)125 X8 X8 42 XI25 X8 25 X6 X4 (25 X4) X6 8X(7X2 5)125 X32 64 M25 2 5 XI(60X25)i X4=60 X(_ X _) X (4X25)8 X4 X125 X25 125X8 X4125 X16 16 252 2 7X4 X5125X 16 16X 25 56 X12525 X12836 X2525 X 12 25 X 24 X 5 28 X 25299X 120+120 38 X25 X4 8 X17 XI2523 X 3= 70 X5=13X100= 25 X4=125 X8= 125 X8=4 ><50=15X( 25X4)=(13 X5) X20=2 X50=1、 ① （36+64 ） X13 与 ② 36 X13+64 X 132、 ① 135 X 15+65 X 15 与②（135+65 ） X 153、 ① 101 X45 与② 100 X45+1 X 454、 ① 125 X 842 与② 125 X800+125 X 40+125 X2 二、判断下面的 5 组等式，应用乘法分配律用对的打1、 （7+8+9） X 10=7X 10+8X 10+92、 12X 9+3X 9 = 12+3 X 93、 （25+50） X 200 = 25 X 200+504、 101 X 63=100 X 63+635、 98 X 15= 100 X 15 + 2 1X 5） ） （） （）V ；应用错的打 （） （） （） （） ）80+8 ） X 2532 （X 200+3 ）38 39X +383528X + 7020X 17X 2X 5X 2X 21 10 X 2+90 X 2（110+90）X 2 12 X 105乘法分配律练习题 138X 62+38X 38 75X 14—70X 14101X 3812 X 98 55 X 99+55 55X 9912X 29+12 58X 199+58 42X 79+4252X 89 69X 101—69 55X 21—55125X （ 80+8） 125X （ 80X 8）125 X 32X 25乘法分配律练习题 2、选择。
四年级上册数学计算题简便计算
四年级上册数学的简便计算主要包括加法交换律、结合律，乘法交换律、结合律和分配律的应用，以及一些常见的速算技巧。
以下是一些示例：
1. 加法交换律与结合律：
简便计算：98 + 45 + 2 = （98 + 2）+ 45 = 100 + 45 = 145
2. 乘法交换律与结合律：
简便计算：125 ×8 ×4 = （125 ×8）×4 = 1000 ×4 = 4000
3. 乘法分配律：
简便计算：25 ×(40 + 4) = 25 ×40 + 25 ×4 = 1000 + 100 = 1100
4. 其他简便计算方法：
利用“凑整”策略：如计算375 + 218 + 625时，可以先计算375 + 625 = 1000，再加218得到1218。
分解因数：例如计算25 ×12，可以将12分解为4×3，然后利用乘法结合律进行简便计算：25 ×12 = 25 ×(4×3) = (25×4)×3 = 100×3 = 300。
以上仅为示例，实际题目可能需要根据具体情况进行分析，找出合适的简便运算方式。
在教学过程中，老师会逐步引导学生理解和掌握这些简便计算方法，并通过大量练习来巩固。
(2021年整理)北师大版小学四年级数学上册第三单元乘法交换律及结合律练习
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乘法交换律和结合律练习一、计算下列各题（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）16×256－16×56 125×(80+8） 69×45+31×45 38×29+38123×99 +123 125 ×7+125 79 ×99+79二、计算下列各题能简算要简算35×102 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+65×37135×6+65×6 （43+25)×40 8×（125+7）18×82+18×47+18×71 4×24+26×24 30×2+25×2（30×25）×40三、直接写得数25×4=4×25=125×8=8×125=20×5=2×50=5×12=12×5=4×50=50×4=（15×25）×4= 15×（25×4）=(6×12）×5= 6×（12×5）=（13×5）×20= 13×(5×20）=四、用简便方法计算299 ×120+12038×25×48×17×1254×8×25×12535×2×5=35×（2×）（60×25）×4=60×(×）125×5×8=(×）×5125×32（8×125）×（4×25）8×4×125×25125×8×825×6×4125×8×464×125（25×4)×6125×1616×2542×125×8２７×４×５８×（７×２５）２５×１２23×3= 70×5= 13×100=25×4= 125×8=195×25×4 2×125×8×5 125×489×420×17×2×5×2×2110×2+90×2（110+90）×212×105。
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 =。
()四年级加法交换和结合律、乘法交换律、结合律、分配律练习
加法交换律、结合律加法交换律：多个加数相加，可以任意交换加数的位置。
a＋b=b＋a加法结合律：多个加数相加，可以任意两个加数先加。
a＋b＋c=a＋〔b＋c〕连减律：连减两个数，可以减去这两个数的和〔减去两个数的和，可以连减这两个数〕。
a—b—c=a—〔b＋c〕可以任意交换减数的位置。
a—b—c=a—c—b598＋99396—28—22355＋260＋140＋245109＋〔291—176〕43＋189＋57591＋482＋118986＋1999216＋89＋11473＋79—63645—180—2451022－478－422987－〔287＋135〕478－256－144672－36－6436＋64－36＋64487－287－139－61500－257－1432000－368－1321814－378－422155＋264＋36＋45698－291－9568－〔68＋178〕382＋165＋35－82169＋199184+507236＋189＋64759—126—259569—256—44514＋189—214228＋〔72＋189〕28＋45＋72123＋38＋621＋13＋85＋7＋99100－57－2337＋56＋63＋44574－3981457－〔185＋457〕68＋24＋32＋76425＋64＋75＋36235＋102902－98634－273＋466－127〔337＋464〕＋536727－194－106374－〔35＋174〕765－〔96＋65〕247－185＋53－15384－297乘法交换律、结合律乘法交换律：多个因数相乘，可以任意交换因数的位置。
a×b=b×a乘法结合律：多个因数相乘，可以任意两个因数先乘。
a×b×c=a×〔b×c〕〔25×4=100、125×8=1000〕连除律：连除以两个数，可以除以这两个数的积〔除以两个数的积，可以连除以这两个数〕。
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是我们在初中数学学习中遇到的重要概念。
理解和熟练掌握这两个法则对于解决数学问题和应用数学知识至关重要。
在本文中，我们将提供一些乘法交换律和结合律的练习题，帮助读者巩固这两个概念的理解。
1. 乘法交换律练习题乘法交换律是指在两个数相乘时，交换因数的位置不会改变最后的结果。
下面是一些乘法交换律练习题：(1) 计算：5 × 7 = ? 7 × 5 = ?(2) 计算：9 × 4 = ? 4 × 9 = ?(3) 计算：2 × 8 = ? 8 × 2 = ?(4) 计算：6 × 3 = ? 3 × 6 = ?答案：(1) 5 × 7 = 35, 7 × 5 = 35(2) 9 × 4 = 36, 4 × 9 = 36(3) 2 × 8 = 16, 8 × 2 = 16(4) 6 × 3 = 18, 3 × 6 = 18通过以上例题，我们可以看到，无论因数的顺序如何改变，最后的乘积都是相同的。
这就是乘法交换律的基本特点。
2. 结合律练习题结合律是指在连续进行多次乘法操作时，无论怎样加括号，最终的结果都是相同的。
下面是一些结合律练习题：(1) 计算：(2 × 3) × 4 = ? 2 × (3 × 4) = ?(2) 计算：(5 × 6) × 2 = ? 5 × (6 × 2) = ?(3) 计算：(8 × 9) × 7 = ? 8 × (9 × 7) = ?(4) 计算：(1 × 2) × 3 × 4 = ? 1 × (2 × 3) × 4 = ?答案：(1) (2 × 3) × 4 = 24, 2 × (3 × 4) = 24(2) (5 × 6) × 2 = 60, 5 × (6 × 2) = 60(3) (8 × 9) × 7 = 504, 8 × (9 × 7) = 504(4) (1 × 2) × 3 × 4 = 24, 1 × (2 × 3) × 4 = 24以上练习题的答案表明，不论我们如何把括号加在乘法运算上，最终的结果都是相同的。