小学四年级简便运算的练习题和答案

1、运算定律练习题.(1)乘法交换律：axb=bxa38x25x 442x125x8乘法结合律：(axb) xc=ax (bxc)25x17x4(25x 125) x ( 8x4)49x4x538x125x8x3(125x25)x45 x 289x2(125x12) x8125x (12x4)(2)乘法交换律和结合律的变化练习125x64125x 8844x25125 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+143158+395+105167+289+33129+235+171 + 165378 527 73169 78 2

2、258 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) x25(125+17) x825x (40+4)15x (20+3)(5)乘法分配律正用的变化练习:36 m25 4139x01125 88201 x 24( 6)乘法分配律反用的练习：34x72+34x 2835x 37 + 65x 3785x 82+85x 1825x 97+25x376x25+25x 24( 7)乘法分配律反用的变化练习： 38x 29+3875x299+7564 x 199+6435x68+68+68x64思考题：( 8)

3、其他的一些简便运算.800+2560001253600 + 8 + 558x 1015874x 99.32525=(325 4) + (25 4)=1300t00=13【练 练 1】(1) 450登5(2) 525登5(3) 3500t25(4) 10000招25(5) 49500阕00(6) 9000攵25【经典例题二】计算25x125x48【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律 .25 125 4 8=(25 4) x (125 8)=100x1000=100000

4、(3) 62448312-8(4) 406m12t04e03(4) 75x6(5) 125 25 32(6) 255x64125(1) 125x34+125x66 =125x (34+66) =125x100 =12500(1) 125 64+125 36(2) 64 45+6471-64 x6(3) 21 73+26x21+21【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(2) 43x11+43x36+43x52+43=43x(11+36+52+1)=43 x100=4300【练一练3计算下面各题

5、:【经典例题四】计算(1) (360+108)男6(2) 1登+3 +2+52+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 的和(差).利用这一性质，可以使计算简便.(1) (360+108) 36(2) 1毋3 攵+5 攵+7 攵=36036+108-36= (1+3+5+7) 2.=10+3=16 2=13=8【练一练 4 (1) (720+96)登4(2) (4500-90) m5(3) 634221(4) 8811w9(5) 7336+10536+14636(6) (10000-1000-100-10) t0【经典例题五】158 x61h9x3

6、【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 号9 m=158h961x3 =2x61 m =366【练一练5计算下面各题：(1) 238x36t195(2) 138x27由9x50【经典例题六】计算下面各题:(1) 103m6t6(2) 200+ (25乂)【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， 加、 去括号不改号， 括号前是除号，田、去括号要改号.(1) 103x96t6 =103x

7、(96t6) =103x6 =618(2) 200+ (25m) =200登5m =8x4=32(1) 612m66t83(2) 1000 + (125川6】计算下面各题：(3) (13856) + (45x6)(4) 241m45f78345x (678241)【经典例题七】计算：(1) 68x62(2) 8585【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) 6862第一步8x2=16,第二步6x (6+1) =42,合

8、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) 23x27(2) 4644(3) 55x55(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81计算(1) 53x11 39x11 65m1(4) 98x11【经典例题九】计算：358x11【思路导航】三

9、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.358x1,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) 654x11(3) 896x11【练一练1】(1) 450登5(2) 525登5(3) 3500t25(4) 10000书25(5) 49500300(6) 9000225【练一练 2】(1) 125x15刈必(2) 25x24(3) 125 x16(4) 75x16(5) 125 25 32(6) 25x564x253】计算下面各题：(1)

10、 125x64+125*6(2) 64 45+64x71-64 x6(3) 21 m3+26x21+21【练一练4】(1) (720+96)登4(2) (4500-90) m5(3) 6342攵1(4) 8811w9(5) 73男6+105w6+146+36(6) (10000-1000-100-10) t05】计算下面各题：(1) 238m6t195(2) 138 27 69 50(3) 624483123(4) 406x312t04攵03【练一练6计算下面各题:（1） 612m66t83(2) 1000+ (1253)(3) (13856) + (456)(4) 241 x345478 v

11、45x (678及41)【练一练 7】(1) 23x27(2) 4644(3) 55x55(4) 91x99【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) 896 m1简便计算专题训练158+262+138375+219+381+2255001 247 1021 -232276+228+353+219(181+2564) +2719378+44+114+242+222(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755 -(2

12、187+755)2214+638+2863065-738- 1065899+3442357-183-317-3572365- 1086-214497 2992370+19953999+4981883 -39812x2575x24138 x25 x4(13 m25) x3 6)(12+24+80) x50704 x25简便计算练习题25 x32 x125232x(25+125)88x125102x7658x98178x101 -17884x36+64x8475x99+2x7583 x102 83 x298 x199123x18-123x3+85x12350 x(34 m) )325x (24+1

13、6)178x99+17884x101504x2578x10225x20479 2+79+79x577300 t25 w8100+47516800+12049700+7003010021003200040021500+1251248243150154800 952356 (1356-721 )简便计算练习题31235- ( 1780 1665)75x27+19x2 531 x870+13x3104x(25 65+25x28)25x(4+8)(300+6)x12125x(35+8)(13+24)x899x6499x16638x99999x99576-285+85825-657+57690-177+

14、77755-287+8799x13+1325+199x2532x16+14x3278x4+78x3+78x3125x32x825x32x12588x12572x1253600 254简便计算练习题48100fh53000-12581250+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+230871-299157-99363-199968-599178x101

15、-17883x102-83x217x23-23x735x127-35x16-11x35容易出错类型600-60 15（共五种类型）20x420x4简便计算练习题5+736-35x2025x4+25x498-18x5+2556x856x8+280-80 -412x6 12x6175-75 笠525x825x8 +80-20x2+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+24x

16、8672-36+64324-68+32100-36+64简便计算练习题626x 39+61x26356x 9-56x 999x 55+5578x101- 7852x76+47x76+ 7648x52x2-4x4825x23x (40+4)184+98695+202864-199380 + 476+120(569+468) + ( 432+ 131)256-147-53373129+2918928x4x25125x 32x25简便计算练习题7720+ 16+5630+ 42456134x56 134+45x134999x999+ 1999738 301704x 25(89 + 74)9x72x1

17、25(256 36)102x35 98 x42158+262+138375+219+381+22598x199123x18-123x3+85x12350x(34x4) x35001 -247-1021-232(181+2564) +2719378+44+114+242+22299+999+9999+99999276+228+353+219(375+1034)+(966+125)(2130+783+270)+10177755-(2187+755)2214+638+2863065-738-1065899+3442357-183-317-3572365- 1086-214497-2992370+19

18、95简便计算练习题83999+4981883-39812x2575x24138x 25x 4(13 x 125) x (3 x 8)(12+24+80) x 5025x32x 12532x(25+125)88x125102x76178x101- 17884x36+64x 8475x99+2x 7525x (24+16)178x99+17879x42+79+79x577300+ 25+48100+ 4+75158+262+1381248+ 243150+ 15简便计算练习题94800 2521500+ 125375+219+381+225 5001 -247- 1021-232(181+2564

19、) +2719378+44+114+242+222 276+228+353+219 (375+1034)+(966+125)(2130+783+270)+1017 99+999+9999+99999 7755 (2187+755)2214+638+2863065-738- 1065899+3442357- 183-317-3572365-1086-214497-2992370+19953999+4981883-39812x2575 x 24简便计算练习题10138x25x4(13 x 125) x (3 x 8)(12+24+80) x 50704x 2525 x 32 x 12532 (25

20、+125)88x125102x7658x98178x101- 17884 36+64 8475 99+2 7583x 102 83x298 199123x18-123x3+85x12350x(34x4) x 325x ( 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 - 2.5689.3-5.26 - 2.

21、7414.9 - (5.2 +4.9 )18.32- 5.47 - 4.32(a x b ) x c = a x(bxc)25 x 6.8 x 0,040.25 x 32 x 0.1256.4 x 1.25 x 12.5c x ( a+b) = c x a + ex b0.45 x 2010.58 x 10.150.2 x 994.7 x 9.9简便计算练习题123.28 x 5.7 + 6.72 x 5.72.1 x 99 + 2.123 x 0.1 + 2.3 x 9.90.18+4.26 -0.18 +4.260.58 x 1.3 - 0.58 x 1.37.3 +4 + 2.7 x 0

22、.253.75 x 0.5 - 2.75 + 2 a-b + c=a + (b x c )6.3 - 1.89.5 - (1.95.26 x 0.125 + 2.74 + 8x 8)12.8 + (0.4 x 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

23、.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 + 56.57.09 x 10.8 0.8 义 7.093.83 义 4.56 + 3.83 义 5.443.65 义 4.7 36.5 义 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+

24、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 -39812x2575x24138 x25 44(13 m25) x3 8)(12+24+80) x50简便计算练习题2704 x2525 x32 x12532 x(25+125)88x125102x7658x98178x101 -17884x36+6

25、4x8475x99+2x7583 x102 83 x298 x199123x18-123x3+85x12350 x(34 m) )325x (24+16)178x99+17879 2+79+79x577300-25 w8100fh516800+12030100210032000+40021500+12549700+7001248+243150+154800 交5简便计算练习题331 x870+13x3104x(25 65+25x28)2356 (1356-721 )1235- (1780- 1665)75x27+19x2 5(300+6)x1225x(4+8)125x(35+8)(13+24)

26、x884x101504x2578x10225x20499x6499x16638x99999x9999x13+1325+199x2532x16+14x3278x4+78x3+78x3125x32x825x32x12588x12572x1253600 2548100 fh5简便计算练习题43000-12581250+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+

27、230 )576-285+85825-657+57690-177+77755-287+87871-299178x101-178容易出错类型600-60 1598-18x5+25175-75 2536-36 6-6100+1-100+1102+1-102+1157-9983x102-83x2(共五种类型)20x4 20x456x856x825x8 25x8363-199968-59917x23-23x7简便计算练习题5+736-35x20+280-80 -480-20x2+6035x127-35x16-11x3525x4+25x412x6 12x636x936x9 +25x8(25x8)+100

28、+45-100+4515x97+348x99+11000+8-1000+85+95x2865+35x1325+75-25+7540+360-20-1013+24x8672-36+64324-68+32100-36+6426x39+61x26简便计算练习题356x9 56x9699x55+ 5578x101- 7852x76+47x76+ 76134x56 134 + 45x 13448x52x2-4x4825x23x (40 + 4)999x999+ 1999184+98695+202864-199738-301380 + 476+ 120(569+468) + ( 432+ 131)256-

29、147-53373129+29189704x 25(89+74)28x4x25125x 32x259x72x125720+ 16+5630- 42简便计算练习题7456 (256 36)102x35 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+3

30、442357-183-317-3572365- 1086-214497-2992370+1995简便计算练习题83999+4981883-39812x2575 x 24138x 25x 4(13x125)x(3x8)(12+24+80) x 5025x 32x 12532x(25+125)88x125102x76178x101- 17884x36+64x 8475x99+2x 7598x199123x18-123x3+85x12350x(34x4) x 325x (24+16)178x99+17879x42+79+79x577300+ 25+48100+4+75158+262+138简便计算练

31、习题912482431501548002521500+125375+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+19953999+4981883-39812x2575x24简便计算练习题10138

32、x 25x4(13x125)x(3 x8)(12+24+80) x50704x 2525x32x12532x(25+125)6.4 x 1.25 x 12.588x125102x7658x98178x101- 17884 x 36+64x 8475 x 99+2x 7583x102-83x 298x199123x 18-123x 3+85x 12350x (34 x 4)x325x ( 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)2.7

33、3 + 0.89 + 1.274.37+ 0.28 + 1.63 + 5.72 a b c = a (b+c)5.26 2.7410 0.432 2.5689.314.9 - (5.2+4.9)18.325.47 4.32(ax b)xc = a x(bx c )25 x 6.8 x 0,040.25 x 32 x 0.125c x ( a+b) = c x a 0.45 x 201+ cx b0.58 x 10.150.2 x 994.7 x 9.93.28 x 5.7 + 6.72 x 5.7简便计算练习题122.1 x 99 + 2.123 x 0.1 + 2,3 x 9,90.18+

34、4.26 -0.18 +4.260.58 x1.3 + 0.58 x1.37.3 +4 + 2,7 x 0.253.75 x 0.5 2.75 + 25.26 x 0.125 + 2.74 + 8a + b + c = a6.3 + 1.8一 (b x c)9.5 + (1.9 x 8)12.8 + (0.4 义 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 7.213.75 (3.75

35、+ 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 x 9956.5 x 9.9 + 56.57.09 x 10.8 0.8 x 7.093.83 x 4.56 + 3.83 x 5.443.65 x 4.7 36.5 x 0.375.4 x 11 -5.413.7 x0.25-3.7-410.7 x16.1 -1.1 x10.7 +10.7 x5第一类：加65+73+135357+288+143272+68+28129+235

36、+171+16517+145+23+35999+99+9+36+7+8+102+103+1049998+3+99+998+3+9第二类：减400-256-44517-53-47284-159-41258-42-16545-167-145478-47-17828 225-2 225-6 225(42+25) x25+ (18+15) x125344- (144+37)236- (177+36)第三类：乘45 4 523 5x225 mm8x (125x3)(250x25) x (4x8)88 12572 125125 64 2542 125 8 525 4 88 125第四类：乘18 125(1

37、2+50) 40125 x(40-4)76x10325 4442 x2599 m99 78第五类：乘45 x37+37 5528 21+28 7917 23-23 138 46+64 3899 32+3246+46 59167 2+167 3+167 539 8+6 39-39 499 m2+33x3423 x2 4+25 4 2+27 x x8+25 8 m第六类：除 3603 阕250自登600t2 弋800w 3480 h5 m8240弋t2420 h352400257800 t25第七类：加减92+99197+102354-108127-98323+189-123248-86+4867

38、2-36+64(6467-832) + (1832-1467)1530+ (592-530) -192(2+4+6+98+100 ) - (1+3+5+97+99 )第八类：乘除960 46 *899000 t21x13702 x38t234640 + ( 16m)1000+ (125*)第九类：加减乘除(98+147) -49(230-23) 23(250-25) 25173628+106428125 x (860+240 t2)700+612 t2m(37+15) 85+13602005 20062006-2006 20052005158+262+138375+219+381+225500

39、1 -247-1021- 232(181+2564) +2719378+44+114+242+222276+228+353+21999+999+9999+99999(375+1034)+(966+125)(2130+783+270)+10177755 (2187+755)2214+638+2863065 738 1065899+3442357 183 317 3572365 1086 214497-2992370+19953999+4981883 39812 2575 24138 25 4(13 a25) )(3 渴)(12+24+80) 50简便计算练习题704 2525 32 12532

40、(25+125)88 125102x7658 98178x01 17884 36+64 8475 99+2 7583x102-83 298 199123x8123 3+85x12350 x(34 4) 325x(24+16)178 99+17879 42+79+79 577300e5*8100mh516800 t203 0100 210032000 m0021500 t2549700号001248243150 15+ 4800e5简便计算练习题 32356（1356 721）1235( 1780 1665)75 27+19x2 531x870+13 3104x25 )65+25x28)(300

41、+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999x13+1325+199x2532x16+14x3278x4+78x3+78x3125x32x825x32x12588x12572x125简便计算练习题3600 您为8100mh53000 t25 w12502551200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+14+186214-（ 86+14）787-（ 87

42、-29）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 20x4736-35x2025x4 25x498-18x5+2556x8 56x8280-80 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

43、-102+165+35x1325+75-25+7540+360 20-1013+24x8672-36+64324-68+32100-36+64简便计算练习题626x39+61 26356 9-56 999x55+5578x101-7852x76+47 76+ 76134 56-134+ 45x13448 52x2-4 4825x23x (40+4)999 999+1999184+ 98695+ 202864 199738-301380+476+120(569+ 468) + ( 432+ 131)704 25256-147-53373129+29189 (89+74)28 4 25125 m2

44、 259 72x25简便计算练习题7720t6书630*2456 (256-36)102x35 98 42(181+2564) +2719158+262+138375+219+381+2255001 -247-1021- 232378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+1017 99+999+9999+999997755 (2187+755)2214+638+2863065 7381065899+3442357-183-317-3572365- 1086-214497-2992370+1995简便计算

45、练习题83999+4981883 39812x2575 24138 25 4(13 125)帘将)(12+24+80) 5025 32 12532x(25+125)88 125102 76178x01 17884 36+64 8475 99+2 7598 199123x18-123 3+85x12350 (34 4) 325x(24+16)178 99+17879 42+79+79 577300e5*81003h5158+262+138简便计算练习题91248 243150t548002521500 t25(181+2564) +2719375+219+381+2255001 -247-102

46、1- 232378+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 39812x2575 24138 25 4(13 m25)杂渴)(12+24+80) 50704 2525 32 12532 (25+125)88x125102x7658 98178x01 17884x36+64 8475x99+2x7583x0283 298 199123x8123m+85m2350x(34 m)彩25x (24+16)178 99+17879 42+79+79 5721500 t257300e5*8100* 号516800 t2