四年级数学乘法结合律练习题
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。
(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。
四年级下册数学《乘法交换律结合律》专项练习
《乘法交换律、结合律》专项练习1、根据乘法运算定律填空。
（1）75×24＝24×75（2）25×19×4＝25×4×19（3）125×(24×8)＝24×(125×8)2、根据下面的算式写出运算定律（1）9×(18×4)=(9×18)×4 （乘法结合律）（2）49×73=73×49 （乘法交换律）（3）a+b=b+a （加法交换律）（4）8×(3×X)=X×(8×3) （乘法交换律、乘法结合律）（5）42+38+62=42+(38+62)（加法结合律）3、在最简便的计算方法后面画“√”。
（1）25×125×8×4A.(25×4)×(125×8) ( √)B．(25×8)×(125×4) ( )（2）125×4×8A．(8×4)×125 ( )B．4×(125×8) ( √)《乘法交换律、结合律》专项练习4、判断题（1）321+267=267+321 ( √)（2）25×69×4=25×4×69，是运用了乘法交换律。
( √) （3）(125×a)×8与125×8×a不一定相等。
( ×)（4）8×5×4=5×8+4。
(×)5、用简便方法计算。
19×25×4=19×(25×4) =190050×(23×2) =50×2×23 =23007×125×8=7×(125×8) ＝7000 40×(33×25) =40×25×33 =3300025×9×4=25×4×9=100×9=9005×87×20=5×20×87 =100×87=8700《乘法交换律、结合律》专项练习6、学校开展“阳光体育活动”，买来25盒羽毛球，每盒有12个，每个羽毛球4元。
(完整版)小学四年级乘法结合律练习题
乘法结合律练习题1、我会填（1）a xb=_____x_____（2）(axb)xc=ax(_____x_____)（3）35x______=46x_______（4）45x5x4=45x(______x_____)（5）125x32x25=(125x______)x(_____x_______) （6）400x______x8=400x(15x8)2、算一算，想一想，你有什么发现？(1)30x2x5=30x(2x5)=我发现：_______________________(2)25 x16 x4=(25 x4)x16=我发现：_______________________3、计算下面各题，并用乘法交换律验算。
32x28 45x364、连一连45x18 18+(55+45) 4x45x25 125x8x2 125x16 45x(25x4) 45+18+55 18x455 、简算33x15x225x7x4x325x50x825x125x16乘法运算定律第二课时1、符合乘法交换律的画○符合结合律的画△（1）35x28=28x35 ( )(2)32x25=8x(4x25) ( )(3)25x15x4x2=(15x2)x(25x4) ( )(4) axbxc=axcxb ( )2、简算4x(25x9) 16x25x12538x5x4 5x(19x2)125x88 25x23x83、龙口菜市场进了56箱鸡蛋，每箱25千克，每千克鸡蛋8元，这些鸡蛋一共可卖多少钱？4、在学校举行的体操表演中，一共有关5个方阵参加表演，每个方阵有18行，每行都有20 名同学，一共有多少名同学？5、有8个书架，每个书架都有7层，每层可放125 本书，这些书架一共可放多少本书？。
乘法结合律,算式练习题
乘法结合律,算式练习题乘法结合律,算式练习题2、填空5×2×5=35× ×4=60××8=× ×5×6=×3、利用发现的规律,计算。
5×17× ×8×125×8×3125×3125×32×使下列的计算简便吗?38×25×42×125×835×2×5=35× ×4=60× ×8=× ×5×6=×3、利用发现的规律,计算。
5×17×4 × ×125×8×3125×3 125×32×4一：×25125×6×4×6× 15×类型二：36×34＋36×6675×23＋25×63×43＋57×6393×6＋93×425×113－325×1328×18－8×28类型三：78×10269×10256×10152×102125×8125×41类型四：31×99×9829×9985×9125×7925×39类型五：83＋83×96＋56×9999×99＋9975×101－7125×81－1291×31－91一、我会填。
1、100.0103读作，五十点五零写作。
小学四年级数学下册乘法结合律和分配律练习题
小学四年级数学下册乘法结合律和分配律练习题乘法结合律练题1.计算下面的乘法表达式：a) $2 \times (3 \times 4)=$。
b) $(5 \times 6) \times 7=$。
c) $8 \times (9 \times 10)=$。
2.填空题：按照乘法结合律计算结果。
a) $4 \times (2 \times 3) = 4 \times \underline{\hspace{0.5cm}}=$。
b) $(5 \times 6) \times 2 = 5 \times \underline{\hspace{0.5cm}} =\underline{\hspace{0.5cm}}=$。
c) $3 \times (4 \times 5) = \underline{\hspace{0.5cm}} \times 4 =\underline{\hspace{0.5cm}}=$。
3.填空题：根据提供的结果计算缺失的数。
a) $2 \times \underline{\hspace{0.5cm}} = 24 \times (6 \times 3)$。
b) $(9 \times 3) \times 5 = \underline{\hspace{0.5cm}} \times 45$。
c) $72 \times (8 \times \underline{\hspace{0.5cm}}) =\underline{\hspace{0.5cm}} \times 36$分配律练题1.计算下面的乘法表达式：a) $2 \times (3 + 4)=$。
b) $(5 \times 6) + 7=$。
c) $(8 \times 9) + 10=$。
2.填空题：按照分配律计算结果。
a) $3 \times (2 + 4) = 3 \times \underline{\hspace{0.5cm}} + 3\times \underline{\hspace{0.5cm}} = \underline{\hspace{0.5cm}} +\underline{\hspace{0.5cm}} = \underline{\hspace{0.5cm}}$。
四年级下册数学 口算题 (乘法交换律和结合律) 1000题
月日姓名:练习范围：乘法交换律和结合律题数：100 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：10025 × 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：10010 × 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：10013000 ÷ 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：1003000 ÷ 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：1001000 ÷ 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：100125 × 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：1005 × 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：1006000 ÷ 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 =月日姓名:练习范围：乘法交换律和结合分秒成绩:律题数：10019 × 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：乘法结合律和乘法分配律+练习
一、乘法结合律1、乘法结合律：三个数相乘；先把前两个数相乘；再和第三个数相乘；或者先把后两个数相乘；再和第一个数相乘；它们的积不变.用字母表示是：（a×b）×c=a×(b ×c).2、使用时机：当几个数相乘时；如果其中两个数相乘得整十、整百、整千的数就可以应用乘法交换律和乘法结合律.乘法结合律可以改变乘法运算中的顺序.数字如;25和4、50和2、125和8、50和4、500和2等.二、乘法分配律1、乘法分配律：两个数的和（或差）与一个数相乘；可以把两个加数（或被减数、减数）分别与这个数相乘；在把两个积相加（或相减）；结果不变.用字母表示数：（a+b）×c=a×c+b×c或（a-b）×c=a×c－b×c补充知识点：1、式子的特点：式子的原算符号一般是×、+(-)、×的形式；在两个乘法式子中；有一个相同的因数；另为两个不同的因数之和(或之差)基本上是能凑成整十、整百、整千的数.2、102×88、99×15这类题的特点：两个数相乘；把其中一个比较接近整十、整百、整千的数改写成整十、整百、整千与一个数的和（或差）；再应用乘法分配律可以使运算简便.练习题：类型一：（注意：一定要括号外的数分别乘括号里的两个数；再把积相加）（40＋8）×25 125×（8+80）36×（100+50） 24×（2＋10）86×（1000－2） 15×（40－8）类型二：（注意：两个积中相同的因数只能写一次）36×34＋36×66 75×23＋25×2363×43＋57×63 93×6＋93×4325×113－325×13 28×18－8×28类型三：（提示：把102看作100＋1；81看作80＋1；再用乘法分配律）78×102 69×10256×101 52×102125×81 25×41类型四：（提示：把99看作100－1；79看作80－1；再用乘法分配律）31×99 42×98 29×9985×98 125×79 25×39类型五：（提示：把56看作56×1；再用乘法分配律）83＋83×99 56＋56×9999×99＋99 75×101－75125×81－125 91×31－91。
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( )。