(完整word版)四年级数学乘法结合律练习题

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。

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 =。

四年级数学下册乘法运算定律专项练习题二、乘法交换律、乘法结合律1、乘法交换律：交换两个因数的位置，积不变。

用字母表示为：a ×b ＝b × a2 、多个数相乘，任意交换因数的位置，积不变。

如a × b × c ×d ＝b × d × a × c3 、乘法结合律：三个数相乘，先乘前两个数，或者先乘后两个数，积不变。

永宁字母表示为：（a × b ）× c ＝a ×（b × c ）4 、在乘法算式中，如果其中两个因数的积为整十、整百、整千数时，可以运用乘法交换律、乘法结合律来改变运算顺序，从而简化运算。

如：125 × 25 × 8 × 4＝125 × 8 × 25 × 4---------------------------- 乘法交换律＝（125 × 8 ）×（25 × 4 ） ----------------- 乘法结合律＝1000 × 100＝ 1000004 、乘法交换律、乘法结合律的结合运用8 ×（30 × 125 ） 5 ×（63 × 2 ）25 ×（26 × 4 ）（25 × 125 ）× 8 × 478 × 125 × 8 × 325 × 125 × 8 × 4125 × 19 × 8 × 3（125 × 12 ）× 8（25 × 3 ）× 412 × 125 × 5 × 85 、运用乘法交换律、乘法结合律简化运算的实质与算式特点实质：把其中相乘结果为整十、整百、整千的两个因数先相乘。

四年级数学上册简便计算练习班级考号姓名总分类型一：（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附：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。

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）38×25×442×125×825×17×4（25×125）×（8×4）49×4×538×125×8×3(125×25)×45 ×289×2（125×12）×8125×（12×4）(2) 乘法交换律和结合律的变化练习125×64125×8844×25125×2425×28（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）×825×（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＋34×2835×37＋65×3785×82＋85×1825×97＋25×376×25＋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。

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。

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？。