简便运算的练习试题和答案

1、简便运算的练习试题和答案乘法交换律：ax b = b x a乘法结合律：(ax b) x c= ax( b x c)38 X 25x 442 x 125x 825x 17x 4(25x 125)x( 8x 4)49x 4x 538x 125x 8x 3(125x 25)x 45 x 289x 2125x 12)x 8125x( 12x 4)乘法交换律和结合律的变化练习125x 2425x 28125x 64125x 8844x 25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+ 3

2、3129+235+171+165378+ 527+ 73169+ 78+ 2258+ 39+ 42+ 61138+ 293+ 62+ 107乘法分配律：80 4)x 25(a+ b)x c= ax c+ bx c204)x 25( 12517)x 825x( 40+ 4)15x( 20+ 3)简便运算的练习试题和答案乘法分配律正用的变化练习：36X3254139X101125X88201X 24乘法分配律反用的练习：34X7234X2835X3765X3785X 8285X 1825X 9725X 376X 2525X 24乘法分配律反用的变化练习：38X 293875X2997564X 19

3、96435X 6868 68X 64其他的一些简便运算。800- 256000- 1253600* 8 宁 558X 101 5874X 99简便运算的练习试题和答案姓名：(1) 125X15X8X4(2) 25X243) 125X164) 75X165) 125X25X326) 25X5X64X1257) 125X64+125X368) 64X45+64X71-64X169) 21X73+26X21+21(1) (720+96)吃4(2) (4500-90)詔5姓名：(3) 6342吃1(4) 881189(5) 73七6+105 七6+146七6(10000-1000-100-10) T0

4、(7) 238X36T19X(8) 138 >27 69 50简便运算的练习试题和答案(1) 103>96 斗16(2) 1000-( 1254)(2) 200-(25詔)(1) 612X366勻83【经典例题七】计算： (1) 68X62(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。( 1 ) 68X62第一步82=16,第二步6X (6+1) =42，合起来是4216( 2) 85X85第一

5、步5X5=25,第二步是8X (8+1) =72,合起来是7225【练一练 7】(1) 23X27(2) 46X44( 3) 55X55( 4) 91X99【经典例题八】计算： 26X11【思路导航】一个两位数乘 1 1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(3) 65X11(4) 98X11【经典例题九】计算： 358X11【思路导航

6、】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 9】计算( 1) 353X11(2) 654X11( 3) 896X11简便运算的练习试题和答案(1) 450吃5(2) 525吃5(3) 3500T25(4) 10000 七25(5) 4950000(6) 9000-225(1) 125X15X8X4(2) 25X24(3) 125X64) 75X165) 125X25X326) 25X5X64X125练一练 3

7、】计算下面各题：1) 125X64+125X362) 64X45+64X71-64X163) 21X73+26X21+21练一练 4】(1)(720+96)-242)( 4500-90) -453) 6342- 214) 8811-895) 73- 36+105- 36+146- 366)( 10000-1000-100-10)- 10练一练 5】计算下面各题：(1) 238X36-119X5(2) 138X27-69X50L 1X9680)LIX86 (寸)66<L6 (寸)LX99 (e)99X99 (e)LLX寸99 (0)LLXWge (L )M44【6LLX6C (0) LLX

8、C9 (L )M44【8(3甲8卜9) X 9寸申8卜爭9KX L寸CXI(寸)(平90L)*OOOL (0)寸艾9寸(0) 卜臭ecxl(L)【卜 竦竦】(咚 9K 寸)* (9<g<8KeL)o)C8T99CXCXIL9 (L)-眾4BKM44【9竦竦】C0 甲寸 0TCXILCX90 寸(寸)年CXIL 印 8 艾寸CXI9O)158+262+138(181+2564 ) +2719(375+1034)+(966+125)7755 (2187+755)899+344497 2991883 398138 X25 X4简便运算的练习试题和答案简便计算专题训练1375+219+38

9、1+225378+44+114+242+222(2130+783+270)+10172214+638+2862357 183 317 3572370+199512X25(13 X25) X3 X)姓名:5001 247 1021 232276+228+353+21999+999+9999+999993065 738 10652365 1086 2143999+49875X24(12+24+80) X5016800X2030100 十 210032000-40021500-12549700-7001248 -243150-154800-25704 X25简便计算练习题225 X32 X12532

10、X(25+125)姓名:88X125102X7658X98178X101 - 17884 X36+64 X8475X99+2X7583 X102 - 83 X298 X199123X18 - 123X3+85X12350 X(34 X4) X25X (24+16)178X99+17879X42+79+79X57730025-48100-4-75简便计算练习题32356 (1356 721 )1235 ( 1780 1665 )姓名：75X27+19X2 531 X870+13X3104(25 >65+25X28)99X13+1325+199X2532X16+14X3278X4+78X3+

11、78X3125X32X825X32X12588X12572X125(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x99简便计算练习题4姓名3600 2548100 M T530002-12581250十25弋1200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+14+186214- (86+14 )787- (87-29 )365- (65+118 )455- (1

12、55+230 )576-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-599178X101-17883X102-83X217X23-23X735X127-35X16-11X35简便运算的练习试题和答案简便计算练习题5姓名:容易出错类型（共五种类型）600-60 $520X420X4$736-35X2025X4$25X498-18X5+2556X856X8$280-80 $412X612X6175-75 吃525X825X8$80-20X2+6036X936X936-36 七-625X8(25X8) $100+45-100

13、+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360 十20-1013+24X8672-36+64324-68+32100-36+64简便计算练习题626X 39+ 61 X 26356X 9 56X 9姓名:99 X 55+ 5578 X 101 7852 X 76+ 47 X 76+ 76134X 56 134+ 45X 13448X 52X 2 4X 4825X 23X( 40 + 4)999X 999+ 1999184+ 98695+ 202864199738 30138

14、0 + 476+ 120(569+ 468) + ( 432+ 131)704X 25256 147 53373129+ 29189(89 + 74)28 X 4X 25125X 32 X 259X 72X 125简便计算练习题 7姓名：720- 16-5630- 42456（25636）102X 35 98 X 42158+262+138375+219+381+22550012471021232181+2564)+2719378+44+114+242+222276+228+353+21999+999+9999+999993065 7381065899+34423571833173572365

15、1086 2144972992370+1995(375+1034)+(966+125)(2130+783+270)+10177755 (2187+755)2214+638+2863999+498简便计算练习题81883 39812X 2575 X 24138X 25X 425X 32X 125(13 X 125) X (3 X 8)32 X (25+125)(12+24+80) X 5088 X 125102X 76178X 101 17884 X 36+64X 8475 X 99+2X 7598 X 199123X 18 123X 3+85X 12350 X (34 X 4) X 325X(

16、 24+16)178X 99+17879 X 42+79+79X 57158+262+1381248- 24简便计算练习题93150- 154800- 2521500- 125375+219+381+2255001 247 1021 232(181+2564) +2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+1017 99+999+9999+99999 7755 (2187+755)899+3442214+638+286 3065 738 106523571833173572365 1086214

17、4972992370+19953999+498188339812X 25简便计算练习题 1075X 24138X 25X 4(13X125)X(3X8)(12+24+80) X 50704X 2525X 32X 12532X (25+125)88X 125102X 7658X 98178X 101 17884X 36+64X 8475X 99+2X 7583X 10283X 298X 199123X 18123X 3+85X 12350X (34X 4) X 325X(24+16)7300- 25-48100- 4- 75简便计算练习题 1116800- 120（ ab） ca （bc）2.7

18、3 0.89 1.274.37 0.28 1.63 5.72178X 99+17879 X 42+79+79X 5721500十 125a b c = a （ b c）10 0.432 2.5689.3 5.26 2.7414.9（5.24.9）18.32 5.47 4.32（a X b ）X c = a25 X 6.8 X 0.04X（ b X c ）0.25 X 32 X 0.1256.4 X 1.25 X 12.5c X（ a+b）= c X a cX 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

19、5.72.1 X 99 2.123 X 0.1 2.3 X 9.90.184.26 0.18 4.260.58X 1.3-0.58 X 1.33.75X 0.52.75 - 2a十b宁c =a宁(b Xc)6.3-1.89.5 一(1.9930-0.6-563.4-2.57.3 - 4 + 2.7 X 0.255.26 X 0.125 + 2.74 - 8X 8 )12.8 -(0.4 X 1.6 )-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

20、.6 7.213.75 (3.75 + 6.48)47.8 7.45+2.5566.86 8.66 1.340.25 X 16.2 X 40.25 X 32 X 0.1254.8 X 100.12 .5 X (4 +0.4)(1.25 0.125) X 84.2 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 X 0.25 3.7 十 410.7 X 16.1 -1.1 X 10.7 +10.7 X 5简便计算专题训练158+26

21、2+138(181+2564 ) +2719375+219+381+2255001 247 1021 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 39812X2575X24138 X25 M(13 X25) X3 X)(12+24+80) X5070

22、4 X25简便计算练习题225 X32 X12532 X(25+125)88X125102X7658X98178X101 17884 X36+64 X8475X99+2X7583 X102 83 X298 X199123X18 123X3+85X12350 X(34 X4) X25X (24+16)178X99+17879X42+79+79X577300十25詔8100MT516800 十 12030100-210032000-40021500-12549700-7001248 -243150-154800-25简便计算练习题32356 (1356 721 )1235 (1780 1665)7

23、5X27+19X2 531 X870+13X3104(25 >65+25X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X12572X1253600 25 詔简便计算练习题48100 M T530002-12581250十25弋1200-624-762100-728-772273-73-27847-527-273278+463+22+37732

24、+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+87871-299157-99363-199968-599178X101-17883X102-83X217X23-23X735X127-35X16-11X35简便计算练习题5容易出错类型（共五种类型）20X4$736-35X2025X4$25X4600-60 $520X498-18X5+2556X856X8$280-80 $412X612X6$1

25、75-75 2525X825X8$80-20X2+6036X936X9$36-36 5-625X8(25X8 ) $100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360 十20-1013+24X8672-36+64324-68+32100-36+64简便计算练习题626 X 39+ 61 X 26356X 9 56X 999 X 55+ 5578 X 101 7852 X 76+ 47 X 76+ 76134X 56 134 + 45X 13448X 52X

26、2 4X 4825X 23X( 40 + 4)999X 999+ 1999184+ 98695+ 202864199738301380 + 476+ 120(569+ 468) + ( 432+ 131)256 147 53373129+ 29189704X 25(89+74)28 X 4X 25125X 32 X 259X 72X 125简便计算练习题7720- 16-5630- 42456(256- 36)102X 35 98 X 42158+262+138375+219+381+2255001 247 1021 232(181+2564) +2719378+44+114+242+2222

27、76+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755 (2187+755)2214+638+2863065 7381065899+3442357183 317 3572365 1086- 214497 2992370+1995简便计算练习题83999+4981883 39812X 2575 X 24138X 25X 4(13 X 125) X (3 X 8)(12+24+80) X 5025X 32X 12532 X (25+125)88 X 125102X 76178X 101- 17884 X

28、36+64X 8475 X 99+2X 7598 X 199123X 18- 123X 3+85X 12350 X (34 X 4) X 379 X 42+79+79X 5725X( 24+16)178X 99+178158+262+1381248- 24简便计算练习题93150- 154800- 2521500- 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+99

29、9997755-(2187+755)2214+638+2863065- 738 - 1065899+3442357- 183-317- 3572365- 1086- 214497- 2992370+19953999+4981883-39812X 25(13X 125)X (3 X 8)简便计算练习题 1075X 24138X 25X 4(12+24+80) X 50704X 2525X 32X 12532X (25+125)88X 125102X 7658X98178X10117884X 36+64X 8475X 99+2X 7583X 10283X 298X 199123X18123X 3+

30、85X 12350X (34X 4) X 325X(24+16)178X 99+17879X 42+79+79X 5721500十 1257300- 25-48100- 4- 75简便计算练习题 1116800- 120（ ab） ca （bc)2.73 0.89 1.274.37 0.28 1.63 5.72 5.26 2.74a b c = a ( b c)10 0.432 2.5689.31 4.9 ( 5.2 4.9 )18.32 5.47 4.32(a x b ) x c = a x( b x c )25 x6.8 x0.040.25 x32 x0.1256.4x 1.25x 12.

31、5c x(a+b)=:c x a + cx b0.45x 2010.58 x 10.150.2x 994.7x 9.9简便计算练习题123.28x 5.7+ 6.72 x 5.72.1 x 99+ 2.123 x0.1 +2.3 x 9.90.18+ 4.260.18+ 4.260.58 x 1.3 - 0.58 x 1.37.3 - 4 + 2.7 x 0.2 53.75 x 0.5 2.75 - 25.26 x 0.125 + 2.74 - 86.3 * 1.8*(b x c )9.5 *( 1.9 x 8 )12.8 *(0.4 x 1.6 )930 * 0.6* 563.4 * 2.5

32、* 0.4(7.7 + 1.54 ) * 0.7简便计算练习题13+ 2.34 0.85 + 4.666.9 + 4.8 + 3.115.89+ (6.75 5.89)7.85简便运算的练习试题和答案35.6 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 32 X 0.1252 .5 X (4 +0.4)(1.25 0.125) X 84.8 X 100.13.83X 4.563.83X 5.444.2X9956.5X9.956.57.09X10.80.8X7.093.65X4

33、.736.5X0.375.4X11-5.413.7 X 0.25 3.7 十 410.7X16.1-1.1X10.7 +10.7 X5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400-256-44517-53-47284-159-41258-42-16545-167-145478-47-178344-(144+37)236-(177+36)第三类：乘45X4 >58X( 125X13)88X12572X12512

34、5X64X2523 >5> 225>9>4( 250X125)X( 4X8)42X125X8X5第四类：乘( 12+50) X4018X12525X4X88X125125X( 40-4)76X10325X4442X2599X999X78第五类：乘45X37+37X5528X21+28X7917X23-23 X746+46X5938X46+64X38167X2+167X3+167X599X32+3239 8X+6X39-39 X428X225-2 X225-6 X22542+25) X125+( 18+15)X12599X22+33X3423X2X4+25X4X2+27X

35、1 X8+25X8X1第六类：除36049800七吒简便运算的练习试题和答案250吒吃60012吒480548240吒勻2420352400 吃57800-125第七类：加减92+99197+102323+189-123248-86+48354-108672-36+64127-986467-832)+(1832-1467)1530+(592-530)-192(2+4+6+98+100 ) - (1+3+5+97+99 )第八类：乘除960 >46 詔899000 勻21 X113702 X38 勻234640-( 164)1000-( 125-4)第九类：加减乘除98+147)-4923

36、0-23) -23250-25) -251736-28+1064-28125X( 860+240-12)2005 >20062006-2006 20052005158+262+138375+219+381+2255001 2471021232181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755(2187+755)2214+638+28630657381065899+3442357183 317 35723651086214497

37、 2992370+19953999+4981883 39812>2575>24138>25>4(13 >125) >(3 >8)(12+24+80) >50简便计算练习题 232>(25+125)88>125704>2525>32>125简便运算的练习试题和答案102X7658 X8178X10117884X36+64X8431X870+13X3104X(25 X65+25X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x

38、16638x99999x9999X13+1325+199X2532X16+14X3275X99+2X7583X10283X298X199123X18123X3+85X12350 X(34 X4) X325X(24+16)178X99+17879X42+79+79X577300吃5詔8100岂叼516800勻2030100 21003200040021500勻25497007001248吃43150 15- 480025简便计算练习题32356(1356721)1235( 17801665)75X27+19X2 5简便计算练习题600-60 45525X4425X420X4420X4736-35

39、X2098-18X5+2556X8456X8280-80 -412X6T2X6175-75 2525X8425X880-20X2+6036X9436X978X4+78X3+78X3简便计算练习题 43600吃5詔125X32X88100岂叼525X32X12588X12572X1253000勻25弋1250吃5吒1200-624-762100-728-772273-73-27847-527-273278+463+22+37732+580+2681034+780320+102425+14+186214-（ 86+14）787-（87-29）365-（ 65+118）455-（ 155+230）5

40、76-285+85825-657+57690-177+77755-287+87871-299157-99363-199968-59936-36 &625X8十（25X8）100+45-100+4515X97+3100+1-100+148X99+11000+8-1000+85+95X28102+1-102+165+35X1325+75-25+7540+360 吃0-1013+24X8672-36+64324-68+32100-36+64简便计算练习题 626X39+ 61 >26356 >9 - 56 >999> 55+ 5578>101- 7852>

41、 76+ 47>76+ 76134>56-134+45>13448>52> 2- 4>4825>23>（40+ 4）999>999+ 1999184+ 98695+ 20228> 4>25125>32>259>72>125864-199738-301380+476+120 （569+468）+（432+131）189-（ 89+ 74）704>25256-147-53373-129+29简便计算练习题 7720T6吒630 詔2456（25636）102 X35 98 M2158+262+13837

42、5+219+381+22550012471021232181+2564)+2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755(2187+755)2214+638+28630657381065899+3442357183317357236510862144972992370+1995简便计算练习题 83999+4981883 39812X2575X24138X25X4(13X125)X(3X8)(12+24+80) X5025X32X12532X(25+

43、125)88X125102X76178X10117884X36+64X8475X99+2X7598X199123X18123X3+85X12350X(34 X4) X325X(24+16)178X99+17879X42+79+79X572214+638+2863065 738 1065899+3442357 183 317 3572365 1086 214497 2992370+19953999+4981883 39812X2575>24138>25>4(13 >125) 3 >8)8100475158+262+138简便计算练习题 91248 吃43150154

44、800 吃5375+219+381+2255001247102123221500勻25(181+2564) +2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)(2130+783+270)+101799+999+9999+999997755 (2187+755)(12+24+80) B0704 >2525 >32 X12532 >(25+125)88X125102 X7658 >98178X101 178（ a > b）> c = a （> b > c）25> 6.80>

45、 .040.25 >32 >0.1256.4 >1.251>2.584 X36+64 >8475X99+2X7583 >02 83 >298>199123>18123>3+85>12350>（34 >4） >325>（ 24+16）178>99+17879>42+79+79>5721500勻25810047516800勻20（ab） c = a （ bc）2.73 0.89 1.274.37 0.28 1.63 5.72a b c = a （ bc）10 0.432 2.5689.3 5

46、.26 2.7414.9（ 5.24.9）18.32 5.47 4.32c >（a+b）= c >a c>b0.45 >2010.58 >10.150.2 >994.7 >9.93.28 >5.7 6.72 >5.72.1>99 2.123 > 0.1 2.3 >9.90.18 4.26 0.18 4.260.58 K3 £.58 1禺7.3 牛 + 2.7 %.253.75 0.5 2.75 £5.26 0.125 + 2.74 £a £ £ = a £b Xc)6.3£89.5 £ 1.9 12.8 £( 0.4 X.6)930 £0.6 5£63.4 £