小学四年级简便运算的练习题和答案(二)

1、运算定律练习题(1)乘法交换律：axb=bxa38X25X 442X125X 8乘法结合律：(axb) xc=ax (bxc)25X17X4(25X 125) X ( 8X4)49X4X538X125X8X3(125X25)X4615 X289X2(125X12) X8125X (12X4)(2)乘法交换律和结合律的变化练习125X64125X 8844X25125X2425X28(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 + 165378+ 527+73169

2、+78 + 2258+39+42+61138+293+62+107(4)乘法分配律：(a+b) xc=ax c+bx c正用练习(80+4) X25(20+4) X 25(125+17) X825X (40+4)15X (20+3)(5)乘法分配律正用的变化练习：36 M25 39 M01125 >88201X24(6)乘法分配律反用的练习：34X72+34X2835X37 + 65X3785X82+85X 1825X 97+ 25X376X25 + 25X 247)乘法分配律反用的变化练习：38X 29+ 3875X299+7564 X 199+ 6435X68 + 68+68X64思

3、考题：( 8)其他的一些简便运算。800+ 256000+ 1253600+8 + 558X 1015874X99【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 笠5=(325M) + (25 >4)=1300T00=13【练一练 1】(1) 450攵5(2) 525攵5(3) 3500+125(4) 10000e25(5) 49500得00(6) 9000攵25【经典例题二】计算25X125X4刈【思路导航】如果先把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

4、律。25M25M刈=(25M) X (125>8)= 100X1000=100000【练一练 2】(1) 125X15 刈必(2) 25X24(3) 125X16(4) 75X6(5) 125>25>32(6) 25>5X64>125【经典例题三】计算：(1) 125X34+125X66(2) 43X11+43X36+43X52+43【思路导航】利用乘法分配律来计算这两题(1) 125X34+125X66(2) 43X11+43M6+43X52+43=125X (34+66)=43X(11+36+52+1)=125X100=125003】计算下面各题：(1) 12

5、5 >64+125 >36=43X100=4300(2) 64X45+64X71-64 X6(3) 21M3+26X21+21【经典例题四】计算(1) (360+108)36(2) 1攵+3 +2+5攵+7攵【思路导航】两个数的和、差除以一个数，可以用这个数分别去除这两个数，再求出两个商 。利用这一性质，可以使计算简便。(1) (360+108) 36(2) 12+3 攵+5 攵+7 攵=36036+108-36= (1+3+5+7)笠=10+3=16攵=13=8【练一练 4】(1) (720+96)攵4(2) (4500-90) F5(3) 6342攵1(4) 881139(5)

6、 73 36+105-K36+146-36(6) (10000-1000-100-10)勺0【经典例题五】158 X61H9M【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 >3=15879>61刈=2X61 >3=366【练一练5】计算下面各题：(1) 238M6T19>5(2) 138X27毋9X50(3) 624X48312-8(4) 406>31204203去括号的方法，使计算简便。可以概括为：括号前是乘号，加、去括号不改号，括号前是除号

7、，田、去括号要改号。(1) 103X96勺6=103X (96T6)=103X6【经典例题六】计算下面各题:(2) 200+ (25M)(1) 103>96T6【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，采用加括号和可以概括为：括号前是乘号，力口、去括号不改号，括号前是除(2) 200+ (254)=200攵5M=8X4=618=322)1000 + (125%)6】计算下面各题：(1) 612M66T83(3) (13X8X5>6) + (4>5X6)(4) 241 刈45e78345X (678241)【经典例题七】计算：(1) 68X62(2)

8、85刈5【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。(1) 68 >62第一步8X2=16,第二步6X (6+1) =42,合起来是4216(2) 85X85第一步5X5=25,第二步是8X (8+1) =72,合起来是7225【练一练 7】(1) 23 >27(2) 46 M4(3) 55 X55(4) 91 >99【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

9、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(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。358 >11,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 9计算(1) 353X11(2) 654X1

10、1(3) 896X11【练一练1】(1) 450攵5(2) 525攵5(3) 3500+125(4) 10000毋25(5) 49500用00(6) 9000225【练一练2】(1) 125X15刈必(2) 25 >24(3) 125 X16(4) 75X16(5) 125 >25 >32(6) 25X5>64M25(2) 64 >45+64X71-64 X6(3) 21 >73+26>21+21【练一练3】计算下面各题:(1) 125>64+125>36【练一练 4】(1) (720+96)攵4(2) (4500-90) M5(3) 63

11、42攵1(4) 881139(5)73 36+105 36+146 36(6) (10000-1000-100-10)勺0(2) 138 >27 令9 >50【练一练5】计算下面各题:(1) 238M6T19>5(3) 624X483123(4) 406X312勺04攵03【练一练6】计算下面各题:(2) 1000+ ( 1253)(1) 612M66T83(3) (13>8>5>6) + (4>5>6)(4) 241M45令78345X (678笠41)【练一练7】（1） 23 X27(2) 46 M4(3) 55X55(4) 91X99【练一

12、练 8计算(1) 53X11(2) 39X11(3) 65X11(4) 98X11【练一练 9计算(1) 353X11(2) 654X11(3) 896M1158+262+138简便计算专题训练375+219+381+2255001 -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+3442357-183-317-35

13、72365- 1086-214497 2992370+19953999+4981883 -39812X2575X24138 X25 44(13 M25) >(3 >8)(12+24+80) X50704 X25简便计算练习题225 X32 X12532X(25+125)88X125102X7658X98178X101 -17884X36+64X8475X99+2X7583 X102 83 X298 X199123X18-123X3+85X12350 X(34 >4) >325X (24+16)178X99+17879 >2+79+79X577300 交5 W810

14、0+47516800+12030100210032000+40021500+12549700+7001248+243150+154800 攵5简便计算练习题32356 (1356721 )1235 ( 1780 1665)75X27+19X2 531X870+13X3104X(25 >65+25X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X

15、12572X1253600 254简便计算练习题48100 FH53000-12581250+25 W1200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+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

16、-35X16-11X35容易出错类型600-60 15简便计算练习题（共五种类型）20X4 20X4736-35X2025X4+25X498-18X5+2556X856X8280-80 -412X6 12X6175-75 笠525X825X880-20X2+6036X936X936-36 H-625X8(25X8) +100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360-20-1013+24X8672-36+64324-68+32100-36+64简便计算练习

17、题626X 39+61X26356X9-56X999X 55+5578X101- 7852X76+47X76+ 76134X56 134+45X13448X52X2-4X4825X23X (40+4)999X 999+ 1999184+98695+202864-199738 301380 + 476+ 120(569+468) + ( 432+131)704X 25256-147-53373129+29189(89 + 74)28X4X25125X32X259X72X125720+ 16+5简便计算练习题7630- 42456(256 36)102X35 98 X42158+262+13837

18、5+219+381+2255001 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+3442357-183-317-3572365- 1086-214497-2992370+1995简便计算练习题83999+4981883-39812X2575X24138X 25X 4(13X125)X(3X8)(12+24+80) X 5

19、025X 32X 12532X(25+125)88X125102X76178X101- 17884X36+64X 8475X99+2X 7598X199123X18-123X3+85X12350X(34X4) X325X (24+16)178X99+17879X42+79+79X577300+ 25+48100+ 4+75158+262+1381248+24简便计算练习题93150 154800+ 2521500+ 125375+219+381+225 5001 -247- 1021-232(181+2564) +2719378+44+114+242+222 276+228+353+219 (

20、375+1034)+(966+125)(2130+783+270)+1017 99+999+9999+99999 7755 (2187+755)899+3442214+638+2863065-738- 10652357- 183-317-3572365-1086-214497-2992370+19953999+4981883398简便计算练习题1012X2575 X 24138X 25X 4(13X 125)X(3 X 8)32X(25+125)(12+24+80) X 50704X 2525X32X12588 125102 7658 98178X101- 17884 36+64 8475 9

21、9+2 7583X 102 83X298 19925X (24+16)123X18-123X3+85X12350 X (34 X 4)X3178 99+17879 42+79+79 5721500+ 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 2.5689.35.262.7414.9 - (5.2+4.9)18.325.474.32(a x b ) x c = a25 X 6.8

22、X 0.04(b x c )0.25 X 32X 0.1256.4 X 1.25 X 12.5c X0.45(a+b) = c x a 义201cx b0.58 X 10.150.2994.7 X9.9简便计算练习题3.28X 5.7 + 6.72X 5.72.112X 99 + 2.123义0.1 + 2.3 X 9.90.18+ 4.26 -0.18 +4.260.58X1.3 + 0.58 X1.37.3 +4 + 2.7 X 0.253.75 X 0.52.75 + 25.26 X 0.125 + 2.74 + 8a + b+ c = a + (bx c )6.3 + 1.89.5 +

23、 (1.9 X 8)12.8 + (0.4 乂 1.6 )930 + 0.6 +563.4 + 2.5 + 0.4(7.7 + 1.54 ) + 0.7简便计算练习题136.9 +4.8 +3.115.89+(6.75 5.89) 7.85+2.34 0.85 +4.6635.6 1.8 15.6 7.2 13.75 (3.75 + 6.48) 47.8 7.45+2.5566.86 -8.66 -1.340.25 X16.2 X40.25 X 32 X 0.1252 .5 X(4 +0.4)(1.250.125)X84.8 X 100.14.2 义 9956.5 义 9.9 + 56.57.

24、09 X 10.8 0.8 义 7.093.83 X 4.56+3.83 X 5.443.65 X 4.736.5 X 0.375.4 X 11-5.413.7 X0.25-3.7-410.7 X 16.1 -1.1 X10.7 +10.7 X5简便计算专题训练158+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)+101799+999+9999+999997755 -(2187+755)22

25、14+638+2863065-738- 1065899+3442357-183 -317 -3572365-1086-214497 2992370+19953999+4981883 -39812X2575X24138 X25 X4(13 M25) X3 >8)(12+24+80) X5032 X(25+125)简便计算练习题2704 X2525 X32 X12588X125102X7658X98178X101 -17884X36+64X8475X99+2X7583 X102 83 X298 X199123X18 123X3+85X12350 X(34 M) )325X (24+16)17

26、8X99+17879 >2+79+79X577300-25 W8100FH516800+12030100210032000+40021500+12549700+7001248+243150+154800 交52356 - (1356简便计算练习题3 721 )1235-(1780- 1665)75X27+19X2 531X870+13X3104X(25 >65+25X28)278+463+22+37732+580+2681034+780320+102425+14+186(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225

27、x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X12572X1253600 254简便计算练习题48100 FH53000-12581250+25 W1200-624-762100-728-772273-73-27847-527-273214- (86+14)787- (87-29)365- (65+118)455- (155+230 )576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-59

28、9178X101-17883X102-83X217X23-23X735X127-35X16-11X35简便计算练习题5容易出错类型（共五种类型）20X4 一736-35X2025X4+25X4600-60 1520X498-18X5+2556X856X8+280-80 -412X6 12X6175-75 2525X825X8 +80-20X2+6036X936X936-36 6-625X8(25X8 ) +100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360-

29、20-1013+24X8672-36+64324-68+32100-36+64简便计算练习题626X 39+ 61 X 26356X 9-56X 999X55+ 5578X101- 7852X76+47X76+ 76134X56 134 + 45X 13448X52X2-4X4825X23X (40 + 4)999X 999+ 1999184+98695+202864-199738-301380 + 476+120(569+468) + ( 432+ 131)704X 25256-147-53373129+29189 (89+74)28X4X25125X 32X259X72X125720+ 1

30、6+5简便计算练习题7630+ 42456(25636)102X 35 98 X42158+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)+101799+999+9999+999997755 (2187+755)2214+638+2863065-738-1065899+3442357-183-317-3572365- 1086-214497-2992370+1995简便计算练习题83999+498

31、1883-39812X2575 X 24138X 25X 4(13X125)X(3X8)(12+24+80) X 50102X 7625X 32X 12532X(25+125)88X125178X101- 17884X36+64X 8475X99+2X 7598X199123X18-123X3+85X12350 X (34X4) X 379X42+79+79X 5725X (24+16)178X 99+1787300+ 25+48100+ 4+ 75158+262+1381248+ 24简便计算练习题93150 154800+ 2521500+ 125375+219+381+2255001-2

32、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+4981883-39812X25简便计算练习题1075X24138X 25X4(13X125)X(3X8)(12+24+80) X50704X 2525X32X1253

33、2X(25+125)88 125102X7658X98178X101- 17898 19984X36+64X 8475X99+2X7583X102 83X2123X18-123X3+85X12350X(34X4) X 325X ( 24+16)178 99+17879 42+79+79 5721500+ 12516800+ 120+ 0.28 + 1.63 + 5.727300+ 25+48100+ 4+ 75简便计算练习题11(a+b) + c = a + ( b+c)2.73 + 0.89 + 1.274.37 a b c = a (b+c)10 0.432 2.5689.3 5.26 2

34、.7414.9 (5.2 +4.9 )18.32 5.47 4.32(ax b)xc = a x(bx c )25 X 6.8 X 0.040.25 X 32 X 0.1256.4 X 1.25 X 12.5c X0.45(a+b) = c x a + cx bx 2010.58 x 1 0.150.2x 994.7 X 9.93.28简便计算练习题12X 5.7 + 6.72 X 5.72.1 X 99+ 2.123义0.1 + 2.3 X 9.90.18+ 4.26-0.18 +4.260.58X1.3 + 0.58 X1.37.3+ 4 + 2.7X 0.253.75X 0.52.75

35、+ 25.260.125 +2.74a +6.3b + c = a+ 1.8(b x c)9.5 -(1.9 义 8)12.8(0.4x 1.6 )930 + 0.6 +563.42.5 + 0.4(7.7+ 1.54)+ 0.76.9 +4.8 +3.115.8935.6 1.8 -15.6 -7.266.86 -8.66 -1.34简便计算练习题13十 (6.75 5.89)7.8513.75 (3.75 +6.48)0.25X16.2X4+ 2.3447.8-0.85 + 4.66-7.45+2.550.25 X32 X 0.1252 .5 X(4 +0.4)(1.250.125)X84

36、.8 X 100.14.2 X9956.5 X9.9+ 56.57.09 X10.8-0.8 X7 .093.83 X 4.56+3.83 X 5.443.65 X 4.736.5 X 0.375.4 X 11-5.413.7 X0.25-3.7-410.7 X16.1 -1.1 X10.7 +10.7第一类：加65+73+135357+288+143272+68+28129+235+171+16517+145+23+35999+99+9+36+7+8+102+103+1049998+3+99+998+3+9第二类：减400-256-44517-53-47284-159-41258-42-16

37、545-167-145478-47-178344- (144+37)236- (177+36)第三类：乘45 4 523 5 225 9 48X (125X3)(250M25) X (4X8)88X12572X25125 >64 >2542 125 8 5第四类：乘(12+50) >4025 4 88 125125 义(40-4)76X10318 12525X4442X2599 >999 >78第五类：乘45 37+37 5528 21+28 7917 23-23 738 46+64 3899 32+3246+46 59167 2+167 3+167 539 8+

38、6 39-39 428 225-2 225-6 225(42+25) M25+ (18+15) X12599 22+33 3423 2 4+25 4 2+27 1 8+25 8 1第六类：除360%得250芍攵600T2 芍800 七 3480 H5 F8240芍 T2420352400257800 T25第七类：加减92+99197+102354-108127-98323+189-123248-86+48672-36+64(6467-832) + (1832-1467)1530+ (592-530) -192(2+4+6+98+100) - (1+3+5+97+99)第八类：乘除640 +

39、( 16M)960 >46 M899000 T21 X13702 M8 T2341000+ (125M)第九类：加减乘除(98+147) F9(230-23)笠3(250-25)笠51736 28+1064 28125 X (860+240 T2)700+612 T2 M(37+15) >85+13602005 >20062006-2006 20052005158+262+138375+219+381+2255001 - 247- 1021- 232(181+2564) +2719378+44+114+242+222276+228+353+219(375+1034)+(966

40、+125)(2130+783+270)+101799+999+9999+999997755- (2187+755)2214+638+2863065-738- 1065899+3442357-183-317- 3572365-1086-214497-2992370+19953999+4981883- 39812>2575 >24138 >25X4(13 X25)召渴)(12+24+80)简便计算练习题704 >2525 刈 2 XI2532X25+125)88X125102X7658洸178X101-17884>36+64>8475 >99+2 M583

41、X102-83 >298 X199123X18-123 >3+85X12350 X34 4) 325X(24+16)178>99+17879 >42+79+79>57730025 M8100M "516800 T2030100 21003150 154800 2575>27+19X2 532000 40021500 12549700 7001248 24简便计算练习题32356- ( 1356721)1235- (1780-1665)31 >870+13 >3104X25 )65+25 >28)(300+6)x1225x(4+8)

42、125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x9932X16+14X3278X4+78X3+78X3125X32X8简便计算练习题4360025 M8100 M "5999x9999X13+1325+199X2525X32X12588X12572X1253000 T25 31250 笠5 芍1200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+14+186214-（ 86+14）787-（ 87-29

43、）365-（ 65+118）455-（ 155+230）576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599简便计算练习题5600-60 1520X4 攵0X4736-35X2025X4+25X498-18X5+2556X8 y6X8280-80 -412X6 +12X6175-75 2525X8+25X880-20X2+6036X9+36X936-36 6-625X8+ （25X8）100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-1

44、02+165+35X1325+75-25+7540+36020-1013+24X8672-36+64324-68+32100-36+6499X55+5578X101-78简便计算练习题626 M9+ 61 >26356 >9-56 >952X76+ 47 >76+76134 >56-134+45X13448 >52X24X4825X23X (40+ 4)999 >999+ 1999184+ 98695+ 202864-199738-301380+476+120(569+ 468) + ( 432+ 131)704 >25256-147-53373

45、 129+29189 (89+74)28X4 >25125 >32 >259M2X25简便计算练习题7720T6芍630 M2456 (256 36)102 M5 98 42158+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)+101799+999+9999+999997755- (2187+755)2214+638+2863065- 7381065899+3442357 183 317 3572365 1086 214497 2992370+1995简便计算练习题3999