简便运算的练习试题和答案

1、乘法交换律：a xb = b Xa乘法结合律：(aXb) Xc = ax(b Xc)(25 X125)X(8 X4)38 X25 X442 X125 X825 X17 X449 X4X538 X125 X8 X3(125 X25) X45 X289 X2(125 X12) X8125 X(12 X4)乘法交换律和结合律的变化练习25 X28125 X64125 X8844 X25125 X24加法交换律：a + b = b + a加法结合律：(a + b) + c= a+( b + c)357 + 288 + 143165158 + 395 + 105167 + 289 + 33129 + 2

2、35 + 171 +378 + 527 + 73169 + 78 + 2258 + 39 + 42 + 61+ 293 + 62 + 107乘法分配律:(80 + 4)X25(a + b) Xc = aXc + b Xc(20 + 4)X25(125 + 17)X825 X (40 + 4)15 X(20 +3)乘法分配律正用的变化练习:36 X325 X4139 X01125 X88201 X24乘法分配律反用的练习:34 X72 + 34 X2835 X37 + 65 X3785 X82 + 85 X1825 X97 + 25 X376 X25 + 25 X24乘法分配律反用的变化练习:3

3、8 X29 + 3875 X299 + 7564 X199 + 6435 X68 + 68 + 68 X64其他的一些简便运算800 -H256000 -12558 X101 5874 X99(1) 125 X15 X8 X4(2) 25X24(3) 125 X6(4) 75 X6(5) 125 25 X32(6) 25 X5 64X25(7) 125 64+125 X36(8 ) 64 X45+64 X71-64 X6(9) 21 X73+26 21+21(1) (720+96 )吃4(2) (4500-90 )詔5(3) 6342 吃1(4) 8811 h89(5) 73 七6+105 6

4、+146 七6(6) (10000-1000-100-10) T0(7) 238 36 勻19 5(9) 624 48七12 吒(10) 406 X312 T04 吃03(1) 103 96 16(2) 200-(25詔)(1) 612 X366 T83(2) 1000-(125 詔)【经典例题七】计算：(1 ) 68 X52( 2 ) 85 X85【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 X62第一步8 XZ=16，第

5、二步6 X (6+1 ) =42，合起来是4216(2) 85 X35第一步5 X5=25，第二步是8 X (8+1 ) =72，合起来是7225【练一练 7】(1) 23 X27(2) 46 X44(3) 55 X55(4) 91 X99【经典例题八】计算：26 X11【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。26 X1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) 53 X1(2) 39 X1(3) 65 X1(4

6、) 98 X11【经典例题九】计算：358 X1【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 X1，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報仪POAALCXI+L 臭 9|+以 LCXIO)9LX寸9丄ZX寸9+9艾寸9 (0)9段 9CXIL+寸史 gCXIL (L)-眾4BKM44【“竦竦】9CXILX 寸 950(1) 238 36 勻19 5報仪POAA6史L6 (寸) 9咚99O) 寸艾9寸 (0) (L)【卜 竦竦】(L寸甲8卜9 )X9寸印8卜

7、爭9KX L寸0(寸) (咚咚寸)* (咚9 8 CL )0)(gcxlL)*000L (0)C0 甲寸 0TCXILCX90 寸(寸)C8T99CXCXIL9 (L)-眾4BKM44【9竦竦】年CXIL 印 8艾寸CXI9O)【练一练8】计算（1） 53 X11(2) 39 X11(3) 65 X11(4) 98 X11【练一练9】计算（1） 353 X11(2) 654 X11(3) 896 X1简便计算专题训练1158+262+姓名:375+219+381+2255001 247 1021 232(375+1034)+(966+125)(2130+783+270)+101799+999+

8、9999+999997755 (2187+755)2214+638+2863065 738 1065899+3442357 183 317 3572365 1086214497 2992370+19953999+498報仪POAAeCXILX eCXIL8LXCCXIL66 lx 86臭 C8 CXI01XC89ZXCXI+66X 9 卜86325 (24+16 )178 X99+17879 42+79+79 16800 已 2030100 吃10032000 詔0021500 T2549700 -7001248 吃43150 勻54800 吃5简便计算练习题32356 (1356 721 )

9、1235 ( 1780 1665 )姓名：75 27+19 531 870+13 X3104 25 65+25 X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X12572X1253600吃5詔3000 T25 吒1250 吃5 弋1200-624-762100-728-772273-73-27847-527-273278+463+22+37732+

10、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+87871-299157-99363-199968-599178X101-17883X102-83X217X23-23X735X127-35X16-11X35容易出错类型600-60 勻5简便计算练习题5（共五种类型）20X4 吃0X4736-35X20姓名:25X4 吃5X498-18X5+2556X8 弋6X8280-80 -412X6 -2X617

11、5-75 吃525X8 吃5X880-20X2+6036X9 -36X936-36 W-625X8 - (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+6426 X 39 + 61 X 26356 X 9 56 X 999 X 55 + 5578 X 101 7852 X 76 + 47 X 76 + 76134 X 56 134 + 45 X 13448 X 52

12、X 2 4 X 4825 X 23 X (40 + 4)999 X 999 + 1999184 + 98695+202864 199738 301256 147 53373 129 + 29189 (89 + 74)28 X 4 X 25125 X 32 X 259X 72 X 125630 - 42456( 256 36)102 X 35 98 X 42158+262+375+219+381+2255001 2471021232(181+2564 ) +2719378+44+114+242+22299+999+9999+999997755 - (2187+755)2214+638+28630

13、65 - 738 - 1065899+3442357 - 183 - 317 - 3573999+498X 25 X 425 X 32 X 125178 X 101 17898 X 199简便计算练习题81883 39812 X 2575 X 24(13 X 125) X (3 X 8)(12+24+80) X 5032 X (25+125)84 X 36+64 X 84123 X 18 123 X 3+85 X 12388 X 125102 X 7675 X 99+2 X 7550 X (34 X 4) X 3158+262+简便计算练习题91248 - 2421500 - 1253150

14、- 154800 - 25375+219+381+2255001 247 1021 232(181+2564 ) +2719378+44+114+242+222276+228+353+219(375+1034)+(966+125)2214+638+2863065 738 1065899+3442357 183 3173572365 1086 2144972992370+19953999+4981883 39812 X 2575 X 24X 25 X 4(13 X 125) X (3 X 8)(12+24+80) X 50704 X 2525 X 32 X 12532 X (25+125)88

15、X 125102 X 7658 X 98178 X 101 17884 X 36+64 X 8475 X 99+2 X 7583 X 102 83 X 298 X 19916800 - 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)9.3 5.26 2.7410 0.432 2.568(a x b) x c = a x (b x c)25 x 6.8 x 0.040.25 x 32 x 0.1256.4 x 1.25 x 12.5c x (a+b

16、) = 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 5.72.1 x 99 + 2.10.58 X 1.3 - 0.58 X 1.37.3 - 4 + 2.7 X 0.2563.4 - 2.5 - 0.4(7.7 + 1.54) - 0.73.75 X 0.52.75 - 25.26 X 0.125+ 2.74 *8a宁b宁c =a *(b X c)6.3 - 1.89.5 * (1.9 X8) 12.8 *-(0.4 X1.6)简便计算练习题136.9 + 4.8 + 3.11

17、5.89 + (6.75 5.89)7.85 + 2.34 0.85 + 4.6635.6 1.8 15.6 7.213.75 (3.75 + 6.48)47.8 7.45+2.550.25 X 32 X 0.12566.86 8.66 1.340.25 X 16.2 X 42 .5 X (4 +0.4)(1.25 0.125) X 84.8 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 0.375.4X 11-5.4158+262+375+219

18、+381+2255001247 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+19953999+498報仪POAAeCXIlx 98+cx eCXIL8IX eCXIL66lx 86臭 C8 CXI01XC8g/xCXI+66X g 卜寸8x寸

19、9+9CX寸88卜LOLX 8卜L9ZXCXIOL9CXIIX88(9CXIL+冬CXIegCXIlxCXIcx gCXICXI眾R竦M云s迟09K (08+寸CXI+CXIL)(8X eh (gCXIlxcL)寸臭9卜gsxCXIL86e C88L50 34 X4) X325X(24+16 )178 X99+17879 X42+79+79 X577300 吃5 -48100詔叼516800 42030100 410032000 N0021500 42549700 001248 吃43150 4 54800 吃5简便计算练习题32356 (1356 721 )1235 (1780 1665 )

20、75 27+19 2 531 870+13 X3104 25 X35+25 X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X12572X1253600吃5詔1200-624-76278+463+22+37214- (86+14 )简便计算练习题43000 T25 吒2100-728-772732+580+268787- (87-29 )273-73

21、-27847-527-2731034+780320+102425+14+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）600-60 十1520X4 吃0X4736-35X2025X4 吃5X498-18X5+2556X8 吒6X8280-8012X6 T2X6175-75 吃525X8 吃5X880-20X2+

22、6036X9 6X936-36 七-625X8 - (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626 X 39 + 61 X 26356 X 9 56 X 999 X 55 + 5578 X 101 7852 X 76 + 47 X 76 + 76134 X 56 134 + 45 X 13448 X 52 X 2 4 X 4825 X 23 X

23、 (40 + 4)999 X 999 + 1999184 + 98695+202864199738 301380 + 476 + 120(569 + 468) + ( 432 + 131)704 X 25256 147 53373 129 + 29189 (89 + 74)28 X 4 X 25125 X 32 X 259X 72 X 125102 X 35 98 X 42简便计算练习题7630 - 42456(25636)158+262+375+219+381+2255001 247 1021 232(181+2564 ) +2719378+44+114+242+22299+999+9999

24、+999997755 (2187+755)2214+638+2863065 738 1065899+3442357 183 317 3572365 1086 2144972992370+19953999+498简便计算练习题81883 39812 X 2575 X 24X 25 X 4(13 X 125) X (3 X 8)(12+24+80) X 5025 X 32 X 12532 X (25+125)88 X 125102 X 76178 X 101 17884 X 36+64 X 8475 X 99+2 X 7598 X 199123 X 18 123 X 3+85 X 12350 X

25、(34 X 4) X 379X42+79+79 X5725X (24+16 )178 X99+178158+262+1248 - 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+783+270)+101799+999+9999+999997755 (2187+755)2214+638+2863065 7381065899+3442370+19953999+498188

26、3 398简便计算练习题1012 X 2575 X 24X 25 X 4(13 X 125) X (3 X 8)(12+24+80)X 50704 X 2525 X 32 X 12532 X (25+125)88 X 125102 X 7658 X 98178 X 101 17884 X 36+64 X 8475 X 99+2 X 7583 X 102 83 X 298 X 199123 X 18 123 X 3+85 X 12350 X (34 X 4) X 325X (24+16 )178 X99+17879X42+79+79 X5721500 - 12516800简便计算练习题11(a

27、+ 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 2.7414.9 ( 5.2 + 4.9)18.32 5.47 4.32(a x b) x c = a x(b x c)25 x 6.8 x 0.040.25 x 32 x 0.1256.4 x1.25 x 12.5c x (a+b ) = c x a + cx b0.45 x 2010.58 x 10.150.2 x 994.7 x 9.93.28 X 5.7 + 6.72 X 5.72

28、.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 0.253.75 X 0.5 2.75 - 25.26 X 0.125 + 2.74 - 8(b X c)6.3 - 1.89.5 - (1.9 X 8)12.8 -(0.4 X 1.6)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 + 6.48)47.8 7.45+

29、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 100.14.2 X 9956.5 X 9.9 + 56.57.09 X 10.8 0.8 X 7.0913.7 X 0.25 3.7 - 410.7 X 16.1-1.1 X 10.7 +10.7 X第一类：加357+288+143272+68+2865+73+135129+235+171+16517+145+23+35999+99+9+36+7+8+102+103+1049998+3+99+998+3+9第二类：减4

30、00-256-44Word文档517-53-47284-159-41344- (144+37 )236-(177+36 )第三类：乘45 M 58 (125 3)23 X5 (250 X25)25 X9 X4X (4 8)88 X2572 X25125 X64 X25第四类：乘(12+50 ) 40125 X (40-4 )76 X0318 X12525 4442 2599 999 X78第五类：乘45 X37+37 5528 X21+28 X7917 X23-2338 X46+64 X3899 X32+3246+46 X59167 X2+167 X3+167 X539 X8+6 X39-39

31、 X428 X225-2 X225-6 XZ25(42+25 ) X125+ (18+15 )X12523 2m+25 X4 2+27 X 8+25 8 X-99 22+33 X34J-那360止禹 250古也 600 土2由 800古烹480 由止8 240 由土 2 420 小5 2400 应5 7800 A 25+淋-&M92+99323+189 二 23197+102248006+48(64670032 ) +Q832二 467 )wordMB354二 0867206+641530+ (592530 )二9212708(2+4+6+98+100 ) - (1+3+5+97+99 )第八

32、类：乘除960 X46 詔899000 T21 X113702 38 T234640-(16 詔)1000 - (125 詔)第九类：加减乘除(98+147 )詔9(230-23 )吃3(250-25 )吃5700+612 T2 X4(37+15 ) X85+13602005 20062006-2006 20052005158+262+375+219+381+2255001 247 1021(181+2564 ) +2719378+44+114+242+222232276+228+353+219(375+1034)+(966+125)(2130+783+270)+10177755 (2187+

33、755)2214+638+28699+999+9999+999993065 738 1065497 2992370+19953999+4981883 398122575 2425 4(13 25) 3 (12+24+80) 50简便计算练习题2704 2525 X32 2532 25+125)88 X25102 7658 X98178 01 17884 X36+64 X8475 99+2 X7550 34 X4) X83 X02 83 X 98 X99123 X8 123 X3+85 X237300 吃5 -432000 詔00简便计算练习题2356 (135625X(24+16 )178 X

34、99+17879 X42+79+79 X8100 詔-47516800 4203 0100 吃10021500 42549700 叼003721 )1248 吃43150 454800 吃51235 (1780 1665 )75 X27+19 X 531 870+13 X3104 25 05+25 X28)(300+6)x1225x(4+8)125x(35+8)(13+24)x884x101504x2578x10225x20499x6499x16638x99999x9999X13+1325+199X2532X16+14X3278X4+78X3+78X3125X32X825X32X12588X1

35、2572X125简便计算练习题43600吃5詔8100 詔 53000 T25 吒1250吃5弋1200-624-762100-728-772273-73-27847-527-273278+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+87871-299157-99363-199968-599简便计算练习题5600-60 T520X4 吃0X4736-35X2025X4 -5