簡便運算的練習(xí)題和答案匯總

1、運算定律練習(xí)題Word文檔(1)乘法交換律：axb=bxa乘法結(jié)合律：(axb)xc=ax(bxc)38X254442X125X825X17X4(25X125)X(8X4)49X4X538X125X8X3(125X25)X45X289X2(125X12)X8125X(1244)(2)乘法交換律和結(jié)合律的變化練習(xí)125 X64125 X8844 X25125 X2425 X28(3)加法交換律：a+b=b+a加法結(jié)合律：(a+b)+c=a+(b+c)357+288+143158+395+105167+289+33129+235+171+165378+527+73169+78+2258+39+42

2、+61+293+62+107(4)乘法分配律:(a+b)Xc=aXc+bXc正用練習(xí)(80+4)X25(20+4)X25(125+17)X825X40+4)15XQ0+3)(5)乘法分配律正用的變化練習(xí):36M25412439X101125刈8201X(6)乘法分配律反用的練習(xí):34X72+34X2835X37+65X3785X82+85X1825X97+25X376X25+25X24(7)乘法分配律反用的變化練習(xí):38 X29 + 3875 X299 + 7564 X199 + 6435 X68 + 68 + 68 X64思考題：(8)其他的一些簡便運算。800攵560001253600也氣

3、58X1015874X99【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攵5=(325M)+(25M)=1300T00=13【練一練1】(1)450攵5(2)525及5(3)3500T25(4) 10000 與25(5) 49500 400(6) 9000 225【經(jīng)典例題二】計算25X125必8【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相乘就可以了。運用了乘法交換律和結(jié)合律。25M25Mx8=(25M)X(125X8)=100M000=100000【練一練2】(1)125M5X8必(2)2524(

4、3)125X16(4)75X16(5)125X25X32(6)255X64X125【經(jīng)典例題三】計算：(1)12534+125X66(2)43M1+43M6+4352+43【思路導(dǎo)航】利用乘法分配律來計算這兩題 125 M4+125 X66=125 X (34+66 )=125 X100=12500【練一練3】計算下面各題:(1) 125 64+125 刈6=43 X (11+36+52+1 )=43 M00=4300(2) 64X45+64 X71-64 M6(3) 21 X73+26 21+21(2)43X11+43M6+4352+43【經(jīng)典例題四】計算(1)(360+108)46(2)1

5、及+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)，再求出兩個商的和(差)。利用這一性質(zhì)，可以使計算簡便。(1)(360+108)36(2)1攵+3攵+5笠+79=36046+108與6=(1+3+5+7)及=10+3=16攵=13=8【練一練4】(1)(720+96)攵4(2)(4500-90)F5(3)6342攵1(4) 8811 89(5) 73 與6+105 46+146 36(6) (10000-1000-100-10 )勺0【經(jīng)典例題五】15861-79X3【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

6、除數(shù)的位置，只要計算：數(shù)字跟著前面的符號一起移動。15861H9M=158-79613=2X61M=366【練一練5】計算下面各題：(1)238M6勺19X5(2)27與9X50(3) 624X48向2 3(4) 406 M12 勺 04 到3【經(jīng)典例題六】計算下面各題：(1) 103X96勺6(2)200+(254)【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?，力口、去括號不改號，括號前是除號，田、去括號要改號。(1)103X96勺6(2)200+(254)二103 義(96勺6)二200攵5總=1036=

7、32=618【練一練6】計算下面各題:(1) 612 M66 勺 83(2)1000 + (1254)(3) (138X56) + (456)(4)241M45478345X(678攵41)【經(jīng)典例題七】計算：(1)6862(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。6862第一步82=16,第二步6X(6+1)=42,合起來是4216(2) 85刈5第一步55=25,第二步是8X(8+1)=72,合起來是7225【練一練

8、7】(1)23X27(2)4644(3)55X55(4)91X99【經(jīng)典例題八】計算：26X11【思路導(dǎo)航】一個兩位數(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。26M1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。【練一練8】計算(1)53X11(2)39X11(3)65X11(4)98X11【經(jīng)典例題九】計算：358M1【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)。358X11

9、,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3938【練一練9計算(1)353X11(2)654X11(3)896X11【練一練11(1)450攵5(2)525笠5(3)3500勺25導(dǎo)Xpjo/v9 （）9K（06-00處）（乙）99（96+0）（L）場一場】9咨 0006 （9）00供 00969 （9）929 0000 L O）9乙+比（）9IX97ZX9+9飲9（乙）9cx次9（L）【W(wǎng)-W19LX9Z（P）92LXt936T195(2)X276950(3)624M8與123(4)406M12T04笠03【練一練6】計算下面各題:(1) 612 M66 勺

10、83(2) 1000 + (1254)(3) (13X8X56) + (456)(4)241M45令78345X(678攵41)【練一練7(D23X27(2)46X44(3)5555(4)9199【練一練8】計算(1)53M1(2)39M1(3)65X11(4)98M1【練一練9】計算(1)353M1(2)654X11(3)896X11簡便計算專題訓(xùn)練158+262+375+219+381+2255001-247-1021232(181+2564)+2719378+44+114+242+222276+228+353+219Word文檔(375+1034)+(966+125)(2130+783+

11、270)+101799+999+9999+999997755-(2187+755)2214+638+2863065738-1065899+3442357-183-317-3572365-1086-2144972992370+19953999+4981883-39812X2575X2425X4(13X125)X3X8)(12+24+80)X50簡便計算練習(xí)題27042525X32M2532N25+125)88M25102X765898178X101-17884X36+64X847599+2X7583M0283X298X199123X18123M+85M2350X(34X4)刈25X(24+16)

12、178X99+17879M2+79+79577300攵5M810047549700-7001248攵43150T54800及5簡便計算練習(xí)題316800T2030100及10032000M0021500勺252356-(1356721)1235-(17801665)7527+1922531870+13必10465+25X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+13125X32X81200-624-7625+199X2532X16+14X3278X4+7

13、8X3+78X325X32X12588X12572X125簡便計算練習(xí)題48100為中53000勺2531250攵542100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+14+214-(86+14)787-(87-29)365-(65+118)455-(155+230)576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599178X101-17883X102-83X217X23-23X735X127-35X16-11X3

14、5簡便計算練習(xí)題5容易出錯類型（共五種類型）600-60T520X4笠0X4736-35X2025X4攵5X498-18X5+2556X8與6X8280-80-412X6勺2X6175-752525X895X880-20X2+6036X936X936-36與-625X8+(25X8)100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360攵0-10Word文檔13+24X8672-36+64324-68+32100-36+6426X39+61X2678X101-7

15、8簡便計算練習(xí)題6356X9-56X999X55+5548X52X2-4X4852X76+47X76+7625X23X(40+4)184+98695+202864199134X56134+45X134999X999+1999738301Word文檔380+476+120(569+468)+(432+131)704X25256-147-53373-129+29189(89+74)28X4X25125X32X259X72X125簡便計算練習(xí)題7720+16+5630+42456(256-36)102X3598X42158+262+375+219+381+2255001-247-1021232(18

16、1+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755-(2187+755)2214+638+2863065738-1065899+3442357-183-317-3572365-1086-2144972992370+19953999+498簡便計算練習(xí)題81883-39812X2575X24X25X425X32X125(13X125)X(3X8)(12+24+80)X5032X(25+125)88X125102X76178X101-178

17、84X36+64X8475X99+2X75Word文檔25X(24+16)178X99+17879X42+79+79X577300+25+48100+4+75158+262+1248+24375+219+381+225簡便計算練習(xí)題93150+154800+2521500+12550012471021-232(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+2863065-738-10658

18、99+3442357-183-317-3572365-1086-214497-2992370+19953999+4981883-398123 X 18 123X3+85 X12350 X (34 X 4) X 325 X (24+16 )簡便計算練習(xí)題1012X2575X24X25X4(13X125)X(3X8)(12+24+80)X50704X2525X32X12532X(25+125)88X125102X7658X98178X10117884X36+64X8475X99+2X7583X10283X298X199Word文檔178X99+17879X42+79+79X5721500+1257

19、300+25+48100+4+7516800+120簡便計算練習(xí)題11(a+b)+c=a+(b+c)4.37 + 0.28 + 1.63 + 5.722.73+0.89+1.27abc=a(b+c)9.3 5.26 2.74100.4322.56814.9(5.2+4.9)18.325.474.32(axb)xc=ax(bxc)25X6.8X0.040.25X32X0.1256.4X1.25X12.5cx(a+b)=cxa+cxb50.2 X 994.7 X 9.90.45X2010.58X10.1簡便計算練習(xí)題123.28X 5.7 + 6.72X 5.72.1 X 99 + 2.16.9+

20、4.8+3.115.89 + (6.75-5.89)7.85+2.34-0.85+4.66Word文檔0.58 X1.3 + 0.58 X1.37.3 +4 + 2.7 X 0.253.75X0.52.75+25.26X0.125+2.74+8a+b+c=a+(bxc)6.3+1.89.5+(1.9X8)12.8+(0.4乂1.6)930 + 0.6 +563.4 + 2.5 + 0.4(7.7 + 1.54) + 0.735.6-1.8-15.6-7.213.75(3.75+6.48)47.87.45+2.5566.86-8.66-1.340.25X16.2X40.25X32X0.1252.

21、5X(4+0.4)(1.250.125)X84.8X100.14.2X9956.5X9.9+56.57.09X10.80.8X7.093.83X4.56+3.83X5.443.65X4.7-36.5X0.375.4X11-5.413.7X0.25 3.7+410.7X16.1-1.1 X 10.7 +10.7 X5Word文檔158+262+簡便計算專題訓(xùn)練375+219+381+2255001-247-1021-232(181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+10179

22、9+999+9999+999997755-(2187+755)2214+638+2863065-738-1065899+3442357-183-317-3572365-1086-2144972992370+19953999+4981883-39825X47042588M25178X101-17812X2575X24(13X125)X3X8)(12+24+80)X50簡便計算練習(xí)題225X32M2532N25+125)102X76589884X36+64X847599+2X75Word文檔83M0283X298X199123X18123M+85M2350X(34X4)刈25X(24+16)178

23、X99+17879M2+79+79577300攵5-48100M中516800T2030100210032000M0021500勺2549700-7001248攵43150勺54800攵5簡便計算練習(xí)題3Word文檔2356 (1356721 )1235 (1780 1665)75X27+19 2 5Word文檔31870+13刈104(2565+25X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X

24、3+78X3Word文檔125X32X825X32X12588X12572X125簡便計算練習(xí)題48100為中53000勺2531250攵541200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+14+214-(86+14)787-(87-29)365-(65+118)455-(155+230)576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599178X101-17883X102-83X217X2

25、3-23X735X127-35X16-11X35簡便計算練習(xí)題5容易出錯類型（共五種類型）600-60T520X4笠0X4736-35X2025X4攵5X4Word文檔98-18X5+2556X8芍6X8280-80-412X6勺2X6175-75及525X8及5X880-20X2+6036X936X936-36與-625X8+(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+32100-3

26、6+64簡便計算練習(xí)題6Word文檔26X39+61X26356X9-56X999X55+5578X101-7852X76+47X76+76134X56134+45X13448X52X2-4X4825X23X(40+4)999X999+1999738 301184+98695+202864199Word文檔380+476+120(569+468)+(432+131)704X25256-147-53373-129+29189(89+74)28 X 4 X 25125X32X259X72X125簡便計算練習(xí)題7720+16+5630+42456(256-36)102X3598X42158+262+

27、375+219+381+22550012471021232(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+498X25X425X32X125178X101-17898X19925X(24+16)簡便計算練習(xí)題81883-39812X2575X24(

28、13X125)X(3X8)(12+24+80)X5032X(25+125)88X12584X36+64X84123X18-123X3+85X123178X99+178102X7675X99+2X7550X(34X4)X379X42+79+79X577300+25+48100+4+75158+262+簡便計算練習(xí)題91248 + 243150 + 154800+2521500 +125375+219+381+2255001-247-1021-232(181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+7

29、83+270)+101799+999+9999+999997755-(2187+755)2214+638+2863065 738 1065899+3442357 -183 -317-3572365 -1086-214497 -2992370+19953999+4981883398簡便計算練習(xí)題1012X2575X24X25X4(13X125)X(3X8)(12+24+80)X50704X2525X32X12532X(25+125)88 X 125102X7658X98178 X 101 -17884 X 36+64 X 8475 X 99+2 X 7583X102-83X298X199123X

30、18123X3+85X12350X(34X4)X325X(24+16)Word文檔178X99+17879X42+79+79X5721500+1257300+25+48100+4+7516800+120簡便計算練習(xí)題11(a+b)+c=a+(b+c)4.37 + 0.28 +1.63 + 5.722.73+0.89+1.27abc=a(b+c)Word文檔100.4322.5689.35.262.7414.9(5.2+4.9)18.325.474.32(axb)xc=ax(bxc)25X6.8X0.040.25X32X0.1256.4X1.25X12.5cx(a+b)=cxa+cxb0.45x2010.58x10.150.2X994.7X9.93.28X5.7+6.72X5.72.1X99+2.123X0.1+2.3X9.90.18+4.26-0.18+4.260.58X1.3+0.58X1.37.3+4+2.7X0.253.75X0.52.75+25.26X0.125+2.74+8a+b+c=a+(bxc)6.3+1.89.5+(1.9義8)12.8+(0.4義1.6)930 + 0.6 +563.4 + 2.5 + 0.4(7.7 + 1.54) + 0.7Word文檔簡便計算練習(xí)題136.9+4.8+3.115.89+(6.