六年級下冊簡便運算總復(fù)習(xí)的練習(xí)題和答案

1、(1)乘法交換律:38X25X 4ax b= bx a 42X125X8運算定律練習(xí)題乘法結(jié)合律：(axb) xc = ax (bxc)25X 17X4(25X 125) X ( 8X4)49X4X538X 125X8X3(125X25)X45 X 289X2(125X 12) X8125X (12X4)125 2425 28(2)乘法交換律和結(jié)合律的變化練習(xí)125X64125X8844X25(3)加法交換律:357+ 288+143a+ b= b+ a158+395+105加法結(jié)合律：(a+b) +c = a +(b+c)378 527 73169 78 22167 + 289+ 3358

2、39 42 61129 235 171 165138 + 293+62+107(4)乘法分配律:(80+ 4) X25(a+b) xc=ax c+bxc 正用練習(xí)(20+4) X25(125+17) X825X(40+4)15X (20+3)(5)乘法分配律正用的變化練習(xí):36 M25 >4139 M01125 >88201 24(6)乘法分配律反用的練習(xí):34X72+34X2835X37 + 65X3785X82 + 85X 1825X 97+25X 376X25 + 25X 247)乘法分配律反用的變化練習(xí)：38X29+3875X 299+7564 X 199+ 6435X68

3、 + 68+68X64思考題：( 8)其他的一些簡便運算。800+ 256000+ 1253600+8 + 558X 101 5874X99【思路導(dǎo)航】在除法里，被除數(shù)和除數(shù)同時乘或除以一個相同的數(shù)，商不變。325 笠5=(325 >4) + (25 >4)=1300T00=13【練一練 1】(1) 450攵5(2) 525攵5(3) 3500+125(4) 10000625(5) 49500得00(6) 9000攵25【經(jīng)典例題二】計算25X125X4X8【思路導(dǎo)航】如果先把25 與 4 相乘，可以得到100，同時把125 與 8 相乘，可以得到1000；再把 100和 1000

4、相乘就可以了。運用了乘法交換律和結(jié)合律。25M25MM=(25 >4) X (125 >8)= 100X000=100000【練一練 2】(1) 125X15X8M(2) 25>24(3) 125X16(4) 75M6(5) 125 >25 >32(6) 25>5>64>125【經(jīng)典例題三】計算：(1) 125X34+125X66(2) 43X11+43M6+43X52+43【思路導(dǎo)航】利用乘法分配律來計算這兩題(1) 125X34+125X66(2) 43X11+43M6+43X52+43=125X(34+66) =125X100 =12500

5、3】計算下面各題：(1) 125 >64+125 >36=43X(11+36+52+1)=43X100=4300(2) 64 M5+64 >71-64 16(3) 21>73+26 >21+21【經(jīng)典例題四】計算(1) (360+108)36(2) 1攵+3攵+5攵+7攵【思路導(dǎo)航】兩個數(shù)的和、差除以一個數(shù)，可以用這個數(shù)分別去除這兩個數(shù)，再求出兩個商 。利用這一性質(zhì)，可以使計算簡便。(1) (360+108) 36(2) 12+342+52+72=36036+10836= (1+3+5+7)攵=10+3=16攵=13=8【練一練 4】(1) (720+96)攵4(

6、2) (4500-90) F5(3) 6342攵1(4) 881139(5) 73 36+105-K36+146W6(6) (10000-1000-100-10)勺0【經(jīng)典例題五】158 X61H9 X3【思路導(dǎo)航】在乘除混合運算中，如果算式中沒有括號，計算式可以根據(jù)運算定律和性質(zhì)調(diào)換乘數(shù)或者除數(shù)的位置，只要計算：數(shù)字跟著前面的符號一起移動。158 >61 勺9M=15879 >61 >3=2>61刈=366【練一練5】計算下面各題：(1) 238>36T19>5(2) 138>2769>50(3) 624X48312?(4) 406M12T04

7、笠03【經(jīng)典例題六】計算下面各題：(1) 103>96T6(2) 200+ (25M)【思路導(dǎo)航】這兩道題都是乘除法混合運算，我們可以根據(jù)這兩道題的特點，采用加括號和去括號的方法，使計算簡便?？梢愿爬椋豪ㄌ柷笆浅颂?，加、去括號不改號，括號前是除號，田、去括號要改號。(1) 103X96T6(2) 200+ (254)=103X (96T6)=200攵5M=103X6=8 必=618=326】計算下面各題：(1) 612M66T83(2) 1000 + (125M)(3) (13MX5>6) + (4>5>6)(4) 241 刈45令78345X (678241)【經(jīng)典

8、例題七】計算：(1) 68>62(2) 85刈5【思路導(dǎo)航】這兩題的形式叫做 “頭同尾合十 ”它們的計算方法是：先用兩個因數(shù)的個位數(shù)相乘，并把積直接寫在末尾，如果積不滿10，十位上要補寫0，然后再將兩個因數(shù)的十位數(shù)乘它本身加 1 的和，積寫在兩個個位數(shù)積的前面。(1) 68X62第一步8>2=16,第二步6X (6+1) =42,合起來是4216(2) 85>85第一步5>5=25,第二步是8X (8+1) =72,合起來是7225【練一練 7】(1) 23>27(2) 46X44(3) 55>55(4) 91M9【經(jīng)典例題八】計算：26X11【思路導(dǎo)航】一

9、個兩位數(shù)乘11 的方法是：用兩位數(shù)的頭作積的頭，用兩位數(shù)的尾作積的尾，用這個兩位數(shù)的兩個數(shù)字之和作積的中間數(shù)(如果相加滿十，則把和的十位數(shù)“ 1加到頭上?！?6X11第一步 2 作積的頭，第二步6 作積的尾，第三步2+6=8 作中間，合起來是286?！揪氁痪?8計算(1) 53X11(2) 39X11(3) 65X11(4) 98X11【經(jīng)典例題九】計算：358X11【思路導(dǎo)航】三位數(shù)乘11，用三位數(shù)的頭作積的頭，用三位數(shù)的尾作積的尾，用三位數(shù)前兩位數(shù)字組成的數(shù)加厚兩位數(shù)字組成的數(shù)的和作積的中間數(shù)。358 >11,第一步用3作積的頭，第二步用8作積的尾，在用35+58=93,合起來是39

10、38?！揪氁痪?9計算(1) 353X11(2) 654X11(3) 896X11【練一練1】(1) 450攵5(2) 525攵5(3) 3500勺25(4) 10000毋25(5) 49500用00(6) 9000 笠25【練一練 2】(1) 125X15X8M(2) 25X24(3) 125 X16(4) 75M6(5) 125 >25 >32(6) 25 >5 >64 >125【練一練3】計算下面各題:(1) 125>64+125>36(2) 64 >45+64 >71-64 16(3) 21 X73+26 >21+21(3)

11、6342攵1【練一練 4】(1) (720+96)攵4(2) (4500-90) M5(4) 881139(5) 7336+105"+146+36(6) (10000-1000-100-10)勺0【練一練5】計算下面各題：(1) 238M6T19>5(2) 138>2769>50(3) 624W83123(4) 406X312勺04攵03【練一練6】計算下面各題：(1) 612刈66T83(2) 1000 + (125M)(3) (13>8>5>6) + (4>5>6)(4) 241 刈458345X (678241)【練一練7】（1）

12、 23 X27(2) 46X44 55X55(4) 91X99【練一練 81 計算(1) 53 X11(2) 39X11(3) 65X11(4)98M1【練一練9計算（1） 353X11(2) 654X11(3) 896X11簡便計算專題訓(xùn)練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)2214+638+28630

13、65 -738-1065899+3442357-183-317-3572365 -1086 -214497 2992370+19953999+4981883 -39812X2575X24138 X25 44(13 M25) X3 >8)(12+24+80) X50簡便計算練習(xí)題2704 X2525 X32 X12532X(25+125)88X125102 X7658X98178X101 -17884X36+64X8475X99+2X7583 X102 83 X298 X199123X18-123X3+85X12350 X(34 >4) >325X (24+16)178 X99

14、+17879 >2+79+79X577300 交5 W8100+47516800+1203010021003200040021500+12549700+7001248+243150+154800 攵5簡便計算練習(xí)題32356 (1356721 )1235 ( 1780 1665)75X27+19X2 531X870+13X3104X(25 >65+25X28)(300+6)x1225x(4+8)125x(35+8)84x101504x2578x10299x6499x16638x9999X13+1325+199X2532X16+14X32125X32X825X32X12588X125

15、(13+24)x825x204999x9978X4+78X3+78X372X1253600 254簡便計算練習(xí)題48100+4H53000-12581250+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+87871-299157-99363-199968-599178X10

16、1-17883X102-83X217X23-23X735X127-35X16-11X35容易出錯類型600-60 15簡便計算練習(xí)題（共五種類型）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+7513+24X8672-36+64324

17、-68+3240+360-20-10100-36+6426X 39+61X2678X101-7848X52X2-4X48簡便計算練習(xí)題6356X9-56X999X55+ 5552X76+ 47X 76+ 7625X23X (40+ 4)184+98695+202864199380+476+120(569 + 468) + (432+131)256-147-53373129+29189134X56 134+ 45X134999X999+ 1999738-301704X 25(89+ 74)28X4X25125X32X259X72X125720+ 16+5簡便計算練習(xí)題7630- 42456(25

18、6-36)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+3442357183-317-3572365- 1086-214497-2992370+19953999+498簡便計算練習(xí)題81883-39812X2575 X 24138X

19、25X 4(13X125)X(3X8)(12+24+80) X5025X 32X 12532X(25+125)88X125102X76178X101- 17884 X 36+64X 8475X99+2X 7598X199123X18-123X3+85X12350 X (34X4) X 325X (24+16)178X 99+17879 X 42+79+79X 577300+ 25+48100+ 4+75158+262+1381248+ 24簡便計算練習(xí)題93150154800+2521500+1257300+ 25+48100+ 4+7516800 120(181+2564) +2719375

20、+219+381+225 5001 -247-1021-232378+44+114+242+222 276+228+353+219 (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簡便計算練習(xí)題1012X2575 X 24138X 25X 4(13X125)X(3 X8)32 (25+125)(12+24+80)

21、X 50704X 2525X 32 X 12588 125102 7658 98178X101- 17884 36+64 8475 99+2 7583X102 83X298 199123X18-123X3+85X12350X(34X4) X 325X (24+16)178 99+17879 42+79+79 5721500+ 125簡便計算練習(xí)題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.

22、474.32(a x b ) x c = a25 X 6.8 X 0.04(b x:c) 0.2532X 0.1256.4 X 1.25 X 12.5c X0.45(a+b) = c x a201cx b0.58 X 10.150.2994.7 X9.9簡便計算練習(xí)題3.28X 5.7 + 6.72X 5.72.112X 99 + 2.123義0.1 + 2.3 X9.90.18+ 4.26 -0.18 +4.260.58X1.3 + 0.581.37.3 +4 + 2. 7 X 0.253.75 X 0.52.75 + 25.26 X 0.125 + 2.74 + 8(181+2564 )

23、+2719378+44+114+242+222276+228+353+219a + b+ c = a + (bx c )6.3 + 1.89.5 + (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簡便計算練習(xí)題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 X 16.2 X 40.25 X

24、32 X 0.1252 .5 X(4 +0.4)(1.250.125)X84.8 X 100.14.2 義 9956.5 義 9.9 + 56.57.09 義 10.8 -0.8 義 7.093.83 義 4.56 + 3.83 義 5.443.65 義 4.7 36.5 義 0.375.4 X 11 -5.413.7 X0.25-3.7-410.7 X 16.1-1.1 X10.7 +10.7 X5簡便計算專題訓(xùn)練(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755 -(2187+755)2214+638+2863065 -

25、738-1065899+3442357-183 -317 -3572365 -1086-214497 2992370+19953999+4981883 -39812X2575X24138 X25 X4(13 M25) X3 >8)(12+24+80) X50簡便計算練習(xí)題232X(25+125)704 X2525 X32 X12588 X125102 X7658X9883 X102 83 X298 X199123X18-123X3+85X12350 X(34 M) )325X (24+16)178 X99+178792+79+79X577300-25 W810047516800+1203

26、0100210032000+40021500+12549700+7001248+243150+154800 攵5178X101 -17884X36+64X8475X99+2X75簡便計算練習(xí)題32356 - (1356721 )1235- (1780-1665)75X27+19X2 531 X870+13X3104X(25 >65+25X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X

27、3125X32X825X32X12588X12572X1253600 254簡便計算練習(xí)題48100+4H53000-12581250+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)13+24X8672-36+64324-68+32100-36+64871-299157-99363-199968-599178X101-17883X102-83X217

28、X23-23X735X127-35X16-11X35簡便計算練習(xí)題5容易出錯類型（共五種類型）736-35X2025X4+25X4600-60 1520X420X4 一98-18X5+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+360-20-1026X 39+61X26簡便計算練習(xí)題6

29、356X9-56X999X55+5578X101-7852X76+47X76+ 76134X56 134+45X13448X52X2-4X4825X23X (40 + 4)999X999+ 1999184+98695+202864-199738-301380+476+120(569 + 468) + (432+ 131)704X 25256-147-53373 129+29189 (89+74)28X4X25125X 32X259X72X125720+ 16+5簡便計算練習(xí)題7630- 42456(256 36)102X35 98 X42158+262+138375+219+381+22550

30、01-247- 1021-232(181+2564) +2719378+44+114+242+222(2130+783+270)+1017276+228+353+219(375+1034)+(966+125)99+999+9999+999997755 (2187+755)2214+638+2863065- 738-1065899+3442357-183-317-3572365- 1086-214497-2992370+1995簡便計算練習(xí)題83999+4981883-39812X2575X24138X 25X 4(13X125)X(3X8)(12+24+80) X 5025X32X 12532

31、X(25+125)88X125102X76178X101- 17884X36+64X 8475X99+2X 7598X199123X18-123X3+85X12350X(34X4) X325X (24+16)178X99+17879X42+79+79X5788 X 125102X7658X98178 X 101- 1787300+ 25+48100+4+75158+262+1381248+ 24簡便計算練習(xí)題93150154800+2521500+ 125(181+2564) +2719375+219+381+2255001-247- 1021-232378+44+114+242+222276

32、+228+353+219(375+1034)+(966+125)-(2187+755)(2130+783+270)+101799+999+9999+9999977552214+638+2863065-738- 1065899+3442357- 183-317-3572365- 1086-214497-2992370+19953999+4981883-398簡便計算練習(xí)題1012X2575X24138X 25X 4(13X125)X(3X8)(12+24+80) X 50704X 2525X32X 12532X(25+125)84X36+64X 8475X99+2X 7583X 102-83X2

33、98 X 199123X 18-123X3+85X 12350X(34X4) X325X (24+16)178X99+17879X42+79+79X5721500-12514.9- (5.2 +4.9)18.32-5.47 - 4.327300-25-48100-4-75簡便計算練習(xí)題1116800-120(a+b) + c = a +(b+c)2.73 + 0.89 + 1.274.37+ 0.28 + 1.63 + 5.72a b c = a ( b+c)-5.26 - 2.74(a x b ) x c = a x (b x c )25 X 6.8 X 0.040.25 X 32 X 0.

34、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 9.910 - 0.432 - 2.5689.3簡便計算練習(xí)題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 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 (

35、b x c)9.5 + (1.9 X 8)12.8 + (0.4 義 1.6 )930 + 0.6 +563.4 + 2.5 + 0.4(7.7 + 1.54 ) + 0.7簡便計算練習(xí)題13+ 2.34 -0.85 +4.666.9 +4.8 +3.115.89+(6.75 5.89)7.8535.6- 1.8 -15.6-7.213.75(3.75 +6.48)47.8-7.45+2.5566.86-8.66 -1.340.25 X 16.2 X40.25 X32 X 0.1252 .5 X (4 +0.4)(1.25-0.125) X84.8 X 100.14.2 X 9956.5 X

36、9.9+ 56.57.09X10.80.8X7.093.83 X 4.56+3.83 X 5.443.65 X 4.736.5 X 0.375.4 11-5.413.7 X0.25-3.7-410.7 X16.1 -1.1 X10.7 +10.7第一類：加65+73+135357+288+143272+68+28129+235+171+16517+145+23+35999+99+9+3517-53-47284-159-416+7+8+102+103+104第二類：減400-256-449998+3+99+998+3+9258-42-16545-167-145478-47-178344- (14

37、4+37)236- (177+36)第三類：乘45必>523 5>225>9>48X (125X3)(250X25) X (4刈)125 >64 >2588X12572X2542X125 >8 >525MM8M25第四類：乘18 125(12+50) >40125 X (40-4)76X10325X4442 >2599 >999 >78第五類：乘45 37+37 5528 21+28 7917 23-23 738 46+64 3899 32+3246+46 59167 2+167 3+167 539 8+6 39-39 4

38、28 225-2 225-6 225(42+25) X125+ (18+15) X12523 2 4+25 4 2+27 1 8+25 8 199 22+33 34第六類：除360 % 得250芍攵600T2 芍7800 T25第七類：加減92+99197+102354-108127-98323+189-123248-86+48672-36+64480 H5 F8240芍 T2420352400-25(6467-832) + (1832-1467)1530+ (592-530) -192(2+4+6+ +98+100 ) - (1+3+5+ +97+99 )第八類：乘除960 >46 4

39、899000 T 21 X113702 M8 T 234640 + ( 16M)1000-(1254)第九類：加減乘除(98+147) M9(230-23)笠3(250-25)攵517368+10648125X(860+24012)700+61212X4(37+15)刈5+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+125)(2130+783+270

40、)+101799+999+9999+999997755- (2187+755)2214+638+2863065- 738-1065899+3442357- 183 317 3572365- 1086- 214497-2992370+19953999+4981883- 39812 2575 24138 25 4(13 125) (3 8)(12+24+80) 50簡便計算練習(xí)題704 25225 32 12532 (25+125)88 125102 7658 98178 M 01 17884 刈6+64 >8475 99+2 7583 >102-83 >298M99123X81

41、23M+85M2350 (34 4) 325X(24+16)178>99+17879>42+79+79 >577300 e5 M8100M "516800 T203 0100 210032000 M0021500 T2549700 勺001248243150 15 480025簡便計算練習(xí)題 32356（ 1356 721）1235( 1780 1665)75>27+19>2 531X870+13 >3104>(25 >65+25 >28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504

42、x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3簡便計算練習(xí)題 4360025 M125X32X88100M "525X32X1253000 T25 31200-624-762100-728-772273-73-2788X12572X1251250笠5芍847-527-273278+463+22+37732+580+2681034+780320+102425+14+186214-（ 86+14）787-（ 87-29）365-（ 65+118）455-（ 155+230）57

43、6-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599簡便計算練習(xí)題600-60 15520X4 攵0X4736-35X2098-18X5+2556X8 y6X8280-80 -4175-75 2525X8+25X880-20X2+6036-36 6-625X8+ （25X8）100+45-100+45100+1-100+148X99+11000+8-1000+825X4+25X412X6 +12X636X9+36X9102+1-102+165+35X1325+75-25+7515X97+35+95X2840+3602

44、0-1013+24X8672-36+64324-68+32100-36+6499 >55+5578X01 78簡便計算練習(xí)題626 M9+ 61 >26356 >9-56 >952X76+ 47 >76+76134 >56-134+45X13448 >52 >2 4 必825X23X (40+4)999 >999+1999184+98695+202864-199738-301380+476+120(569+ 468) + (432+131)189 (89+ 74)704 >25256-147-53373- 129+ 2928X4 &g

45、t;25125 >32 >259M2X25簡便計算練習(xí)題7720T6芍630 M2456 (256 36)102 刈5 98 42158+262+138375+219+381+225 5001-247-1021-232(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

46、 2992370+1995簡便計算練習(xí)題91248 243150T54800 笠5375+219+381+2255001 247 1021 232簡便計算練習(xí)題3999+4988188339812 2575 24138 >25 >4(13 125) (3 8)(12+24+80) 5025 32 1253225+125)88 125102 76178X01 17884 M6+64 >8475 99+2 7598 199123M8123 刈+85X2350 (34 4) 325X(24+16)178 99+17879 42+79+79 57730025 M8100475158+

47、262+13821500 T25(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 39812X2575 >24138 >25X4(13 X25) )(3 >8)(12+24+80) 50704 2525 32 12532 (25+125)88 125102 7658 98178X01 17884 36+64 8475 99+2 7583 M0283 >298 199123M8123 刈+85M2350 (34 4) 325 X (24+16)178 >99+17879 >42+79+79 >5721500