1、378+527+73169+78+2258+39+42+61138+293+62运算定律练习题(1)乘法交换律：axb=bXa38X25X442X125X8乘法结合律：(axb)xc=ax(bXc)25X17X4(25X125)X(8X4)49X4X538X125X8X3(125X25)X45X289X2(125X12)X8125X(12X4)
2、(2)乘法交换律和结合律的变化练习125X64125X8844X25125X2425X28(3)加法交换律：a+b=b+a加法结合律：(a+b)+c=a+(b+c)357+288+143158+395+105167+289+33129+235+171+165+107(4)乘法分配律：(a+b)Xc=aXc+bXc正用练习(80+4)X25(20+4)X25(125+17)X825X(40+
3、4)15X+3)(5)乘法分配律正用的变化练习：36M25X4139X101125X88X24(20201(6)乘法分配律反用的练习:34X72+34X2835X37+65X3785X82+85X1825X97+25X376X25+25X24(7)乘法分配律反用的变化练习:38X29+3875X299+7564X199+6435X68+68+68X64☆思考题：(8)其他的一些简便运算800-256
4、000+1253600也气58X101—5874X99【思路导航】在除法里，被除数和除数同时乘或除以一个相同的数，商不变325攵5=(325速)+(25M)=1300勺00二13【练一练1】(1)450攵5(2)525攵5(3)3500勺25(4)10000毛25(5)49500400(6)9000攵25【经典例题二】计算25X125>4X8【思路导航】如果
5、先把25与4相乘，可以得到100,同时把125与8相乘，可以得到1000;再把100和1000相乘就可以了。运用了乘法交换律和结合律。25X125必刈=(25M)X(125X8)=100M000=100000【练一练2】(1)125M5X8X4(2)25>24(3)125M6(4)75X16(5)125>25X32(6)25X5>64X125【经典例题三】计算：(1)125M4+125>66【思路导航】利用乘法分配律来计算这两
6、题(2)43M1+43M6+43>52+43(1)125刈4+125>66=125X(34+66)=125M00=12500(2)43M1+43刈6+43>52+43=43X(11+36+52+1)=43X00=4300【练一练3】计算下面各题:(1)125>64+125M6(2)64X45+64>71-64X16(3)21X73+26>21+21【经典例题四】计算(1)(360+108)与6(2)1攵+32+5攵+7攵【思路导航】两个数的和、差除以一个数，可以
7、用这个数分别去除这两个数，再求出两个商的和(差)。利用这一性质，可以使计算简便。(1)(360+108)与6(2)1及+3受+5攵+7攵=36046+108与6=(1+3+5+7)及=10+3=16攵=13=8【练一练4】(1)(720+96)及4⑵(4500-90)F5(3)6342及1(4)881
8、139(5)73与6+105与6+146与6⑹(10000-1000-100-10)T0【经典例题五】158>61-79M【思路导航】在乘除混合运算中，如果算式中没有括号，计算式可以根据运算定律和性质调换乘数或者除数的位置，只要计算：数字跟着前面的符号一起移动。158>61-79刈=158-79>61M=2>61X3=366【练一练5】计算下面各题：(1)238刈6勺19X5(2)138X27毛9X50(3)624必8与123(4)406M12勺04及03
9、【经典例题六】计算下面各题:(1)103>96勺6(2)200+(25F)【思路导航】这两道题都是乘除法混合运算，我们可以根据这两道题的特点，采用加括号和去括号的方法，使计算简便。可以概括为：括号前是乘号，力口、去括号不改号，括号前是除号，田、去括号要改号。(1)103>96T6(2)200+(25M)=103义(96勺6)=200攵5X4=8>4=32(1)612刈66T83(2)1000+(125M)=
10、103>6二618【练一练6】计算下面各题:(3)(13X8>5>€)+(4X5>6)(4)241M45与78345义(678攵41)【经典例题七】计算：(1)68>62(2)85X85【思路导航】这两题的形式叫做头同尾合十”它们的计算方法是：先用两个因数的个位数相乘，并把积直接写在末尾，如果积不满10,十位上要补写0,然后再将两个因数的十位数乘它本身加1的和，积写在两个个位数积的前面。⑴68>62第一步8>2=16,第二步6X(6+1)=42,合起
11、来是4216(2)85X85第一步5>5=25,第二步是8X(8+1)=72,合起来是7225(4)91>99【练一练7】(1)23X27(2)46X44(3)55X55【经典例题八】计算：26X11【思路导航】一个两位数乘11的方法是：用两位数的头作积的头，用两位数的尾作积的尾，用这个两位数的两个数字之和作积的中间数(如果相加满十，则把和的十位数1”加到头上。26X11第一步2作积的头，第二步6作积的尾，第三步2+6=8作中间，合起来是286。【练一练8】计算(1)53X11(2)39X11
12、(3)65X11(4)98X11【经典例题九】计算：358X11【思路导航】三位数乘11,用三位数的头作积的头，用三位数的尾作积的尾，用三位数前两位数字组成的数加厚两位数字组成的数的和作积的中间数。358X11,第一步用3作积的头，第二步用8作积的尾，在用35+58=93,合起来是3938【练一练91计算(1)353X11(2)654M1(3)896X11L3+L3X9乙+仅比（）9IX"91〃"9+9伙99(乙)9cx9"+"取9"(船W#ffl*44【W-W19乙
13、IX99X3X9乙(9)乙X9SX9"(9)9LX9Z(V)9以9"()"女9乙（乙）协<8<9IX9"(L)［乙密一身］9涛0006(9)006^0096》(9)9乙以0000L由）9乙片009G（）密929(乙)9+0处（L）[L场一场】【练一练4】(1)(720+96)攵4(2)(4500-90)M5(
14、3)6342攵1(4)8811T039(5)7336+105与6+14636(6)(10000-1000-100-10)【练一练1⑴2381计算下面各题：M6F19X5(2)138>27与9X50(3)624>484123(4)406刈12勺04及03【练一练计算下面各题:(1)612
15、刈66T83(2)1000+(125F)(3)(13X8>5>6)+(4X5>6)(4)241M45与78与45义(678攵41)【练一练7](1)23X27(2)46444(3)55X55(4)91>99【练一练8］计算（1）53X11(2)39X11(3)65X11(4)98X11【练一练9］计算（1）353X11(2)654X11(3)896X11简便计算专题训练158+262+138375+219+381+2255001—2
16、47—1021-232(181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755-(2187+755)2214+638+2863065—738-1065899+3442357-183-317-3572365-1086-214497-2992370+19953999+4981883
17、-39812>2575>24138>25X4(13M25)X(3X8)(12+24+80)X50704>25简便计算练习题225M2X12532><25+125)88X125102X7658>98178X101-17884X36+64X8475>99+2X7583X102-83>
18、298X199123X18—123M+85X12350天34M)X325义(24+16)178X99+1788100FH579X42+79+79X5716800T2030100攵10032000F0021500T2549700-7001248攵43150勺54800及5简便计算练习题375X27+19252356—(1356-721)1235—(1780-1665)31>870+13M104
19、X25X65+25>28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X12572X125
20、简便计算练习题51200-624-76278+463+22+37214-(86+14)8100MS53000勺2531250攵542100-728-772273-73-27847-527-273732+580+2681034+780320+102425+14+186787-(87-29)365-(65+118)455-(155+230)576-285+85825-657+576
21、90-177+77755-287+87871-299157-99363-199968-599178X101-17883X102-83X217X23-23X735X127-35X16-11X35简便计算练习题5600-60勺520X4攵0X4736-35X2098
22、-18X5+2556X8芍6X8280-80-4175-75攵525X8攵5X880-20X2+6036-36与-625X8+(25X8)100+45-100+45100+1-100+148X99+11000+8-1000+8容易出错类型（共五种类型）25X4攵5X412X6勺2X636X9与6X915X97+35+95X28
23、102+1-102+165+35X1325+75-25+7540+360及0-1078X101-7852X76+47X76+76134X56—134+45X13413+24X8672-36+64324-68+32100-36+6426X39+61X26简便计算练习题6356X9—56X999X55+5548X52X2—4X
24、4825X23X(40+4)999X999+1999184+98695+202864—199738-301380+476+120(569+468)+(432+131)704义25256-147-53373-129+29189—(89+74)28X4X25125X32X259X72X125
25、简便计算练习题7720+16+5630-42456—(256—36)102X3598X42158+262+138375+219+381+2255001—247—1021-232(181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+1017
26、99+999+9999+999997755-(2187+755)2214+638+2863065-7381065899+3442357-183-317-3572365-1086-214497-2992370+19953999+498138X25X425X32X125简便计算练习题81883-39812X25(13
27、X125)X(3X8)32X(25+125)75X24(12+24+80)X5088X125102X76178X101-17884X36+64X8475X99+2X7598X199123X18-123X3+85X12350X(34X4)
28、X325义(24+16)178X99+17879X42+79+79X577300+25+48100+4+75158+262+138简便计算练习题91248+243150+154800+2521500+125375+219+381+2255001-247-1021-232(181+2
29、564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755-(2187+755)2214+638+2863065-738-1065899+3442357-183-317-
30、3572365-1086-214497-2992370+19953999+4981883-39888义125102X7658X98178X101-17812X25简便计算练习题1075X24138X25X4(13X125)X(3X8)(12+24+80)X50704X252
31、5X32X12532X(25+125)84X36+64X8475X99+2X7583X102—83X298X199123X18—123X3+85X12350X(34X4)X325义(24+16)178X99+17879X42+79+79X5721500+1257300+25+48100+4+7516800+1202.73+0.89+1.274.37+0.28+1.63+5.72简便计算练习题11(a+b)
32、+c=a+(b+c)a—b—c=a—(b+c)10—0.432—2.5689.3—5.26—2.7414.9—(5.2+4.9)18.32—5.47—4.320.45x2010.58x10.150.2X994.7X9.9(axb)xc=ax(bxc)25X6.8X0.040.25X32X0.1256.4X1.25X12.5
33、cx(a+b)=cxa+cxb930+0.6+563.4+2.5+0.4(7.7+1.54)+0.7简便计4窜练习题123.28义5.7+6.72义5.72.1X99+2.123X0.1+2.3X9.90.18+4.26-0.18+4.260.58X1.3v-0.58X1.37.3+4+2.7义0.253.75X0.5—2.75+2
34、5.26X0.125+2.74+a+b+c=a+(bxc)8简便计算练习题136.9+4.8+3.115.89+(6.75-5.89)7.85+2.34-0.85+4.6647.8-7.45+2.5535.6-1.8-15.6-7.213.75-(3.75+6.48)66.86-8.66-1.340.25X16.2X40.25X32X0.1252.5X(4+0.4)
35、(1.25-0.125)X84.8X100.14.2X9956.5X9.9+56.57.09X10.8-0.8X7.093.83X4.56+3.83X5.443.65X4.7—36.5X0.375.4X11-5.413.7X0.25-3.7+410.7X16.1-1.1X10.7+10.7X5简便计算专题训练158+262+138375+219+381+2255001
36、247-1021-232(181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755-(2187+755)2214+638+2863065—738-1065899+3442357-183
37、-317-3572365-1086-214497-2992370+19953999+4981883-39812>2575>24138>25X4(13M25)X(3X8)(12+24+80)X50简便计算练习题2704>2525M2X12532X(25+125)88X125102X7658>98178X101-17884X36+64X8475X99+2X7583X102—83>298M99123X18—123M+85X1
38、2350X34M)X325义(24+16)178X99+17879X42+79+79X57730025F16800T2030100攵10032000F0021500勺2549700-7001248攵43150T54800攵5简便计算练习题32356—(1356—721)1235-(1780-
39、1665)75X27+19>2531>870+13M104><25X65+25>28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X
40、4+78X3+78X3125X32X825X32X12588X12572X125简便计算练习题48100MS53000勺2531250攵541200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+
41、14+186214-(86+14)787-(87-29)365-(65+118)455-(155+230)576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599178X101-17883X102-83X217X23-23X735X127-35X16-11X35简便计算练习题5容易出错
42、类型（共五种类型）600-60勺520X4攵0X498-18X5+2556X846X8175-75攵525X8攵5X8736-35X2025X4攵5X4280-80-412X6勺2X680-20X2+6036X936X936-366625X8+(25X8)100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28
43、78X101-7852X76+47X76+76134X56—134+45X134102+1-102+165+35X1325+75-25+7540+360及0-1013+24X8672-36+64324-68+32100-36+64简便计算练习题626X39+61X26356X9-56X999X55+55
44、48X52X2—4X4825X23X(40+4)999X999+199928X4X25125X32X259X72X125184+98695+202864—199738-301380+476+120(569+468)+(432+131)704X25256-147-53373-129+29
45、189—(89+74)简便计算练习题7720+16+5630+42456—(256—36)102X3598X42158+262+138375+219+381+2255001-247-1021—232(181+2564)+2719378+44+114+242+222(375+1034)+(966+125)276+228+353+21999+999+9999+99999(
46、2130+783+270)+10177755—(2187+755)2214+638+2863065-738-1065899+3442357-183-317-3572365-1086-214497—2992370+1995简便计算练习题83999+4981883-39812X2575X24138X25X4(13X125)X(3X8)(12+24+80)X5025X32X12532X(25+125)88X125102X76
47、98X199123X18-123X3+85X12350X(34X4)X325义(24+16)178X99+17879X42+79+79X577300+25+48100+4+75158+262+1381248+24375+219+381+225简便计算练习题93150+15
48、4800+2521500+1255001-247-1021-232(181+2564)+2719276+228+353+219378+44+114+242+222(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755-(2187+755)
49、2214+638+2863065-738-1065899+3442357-183-317-3572365-1086-214497-2992370+19953999+4981883-398简便计算练习题#12X2575X24138X25X4(13X125)X(3X8)(12+24+80)X50704X2525X32X12532X(25+125)88X125102X7658X98178X101—17884X36+64X8475X99+2
50、X7583X102-83X298X199123X18—123X3+85X12350X(34X4)X325义(24+16)178X99+17879X42+79+79X5721500+1257300+25+48100+4+7516800+120简便计算练习题11(a+b)+c=a+(b+c)2.73+0.89+1.274.37+0.28+1.63+5.72a—b—c=a—(b+c)10—0.432—2
51、.5689.3—5.26—2.7414.9—(5.2+4.9)18.#—5.47—4.32(axb)xc=ax(bxc)25X6.8X0.040.25x32x0.1256.4X1.25X12.5cx(a+b)=cxa+cxb0.45x2010.58x10.150.2X994.7x9.9简便计算练习题123.28X5.7+6.72X5.72.1X99+2.123X0.1
52、+2.3X9.90.18+4.26-0.18+4.260.58X1.3+0.58X1.37.3+4+2.7X0.253.75X0.5—2.75+25.26X0.125+2.74+8a+b+c=a+(bxc)6.3+1.89.5+(1.9x8)12.8+(0.4义1.6)930+0.6+563.4+2.5+0.4(7.7+1.54)+0.76.9+4.8+3.115.89+(6.75-5.89)7.8
53、5+2.34-0.85+4.66简便计算练习题1335.6—1.8—15.6—7.213.75—(3.75+6.48)47.8-7.45+2.5566.86-8.66-1.340.25X16.2X40.25X32X0.125X84.8X100.12.5X(4+0.4)(1.25-0.125)4.2X9956.5X9.9+56.57.09X10.8-0.8X7.
54、093.83X4.56+3.83X5.443.65X4.7-36.5X0.375.4X11-5.413.7X0.25-3.7+410.7X16.1-1.1X10.7+10.7X5第一类：加65+73+135357+288+143272+68+28129+235+171+16517+145+23+35999+99+9+3
55、6+7+8+102+103+1049998+3+99+998+3+9第二类：减400-256-44517-53-47284-159-41258-42-16545-167-145478-47-178344-(144+37)236-(177+#)第三类：乘45><4><58X(125X13)23>5>225刈通(250M25)X(4X8)88X12572X125
56、125>64>2542X125X8X5第四类：乘25X4X88X25(12+50)>40125X(40-4)76X10318X12525X4442>2599>999X78第五类：乘45M7+37>5528>21+28X7917>23-23又738X46+64M899M2+3246+46>59167>2+167X3+167>539X8+6X39-39X4
57、28>225-2X225-6>22599>22+33M4(42+25)M25+(18+15)X2523>2必+25X4>2+27MX8+25刈X1第六类：除360%得250芍攵600勺2芍4804M82403T2420与52400及57800勺25第七类：加减92+99197+102354-108127-98323+189-123248-86+48672-
58、36+64(6467-832)+(1832-1467)1530+(592-530)-192(2+4+6++98+100)-(1+3+5++97+99)第八类：乘除960X46F899000勺21X113702刈8T234700+612T2X4(37+15)>85+1360
59、640+(16^4)1000+(125F)第九类：加减乘除(98+147)F9(230-23)^23(250-25)及51736攵8+1064攵8125X(860+240勺2)2005>20062006-2006X20052005158+262+138375+219+381+2255001-247-1021-232(181+2564)+2719
60、378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755-(2187+755)2214+638+2863065-738-1065899+3442357-183-317-3572365—1086-214497-299
61、2370+19953999+4981883-39812>2575X24138>25X4(13X125)X(3刈)(12+24+80)X50简便计算练习题704>25225刈2M2532><25+125)88M25102>7658X98178M01—17884X36+64X8475>99+2X75
62、83M02—83>298X199123M8-123M+85X12350天34M)M25X(24+16)178>99+17879X42+79+79X577300攵5F8100MH516800勺2030100攵10032000M0021500T2549700-7001248攵43150勺54800及5简便计算练习题32356—(1356-721)1235—(1780-1665)75>27+
63、1922.531>870+13X3104X25>65+25>28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99
64、32X16+14X32999x9999X13+1325+199X2578X4+78X3+78X3125X32X825X32X12588X12572X125简便计算练习题48100MH53000勺2531200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320
65、+102425+14+18600-60T520X4攵0X4736-35X2025X4攵5X4214-(86+14)787-(87-29)365-(65+118)455-(155+230)576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599
66、简便计算练习题598-18X5+2556X8芍6X8280-80-412X6勺2X6175-75攵525X825X880-20X2+6036X936X936-366625X8+(25X8)100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360攵0-1013+24X8672-36+64324-68+32100-36+64简便计算练习题652X76+47M6+76134