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1、-四年级下册简便运算-第 11 页 班别: 姓名: (408)25 125(8+80) 36(100+50) 24(210) 86(10002) 15(408)36343666 75232523 63435763936934 32511332513 281882878102 69102 5610152102 12581 25413199 4298 29998598 12579 2539838399 565699 9999997510175 12581125 913191四年级下册运算律与简便运算(运用:25=10; 425=100; 8125=1000; 475=300)40001258= 3
2、700254= 13052=25(404)= 32125= 56125=185= 12524= 3625=30001258= 4500425= 4425=25264= 25174= 12572=25384= 7528= 454=2512= 5024= 25(408)=25(84)= 64125= (104)25=12578= 125160= 25(432)=125(108)= 60425= 48125=3625= 2564= 7544=700425= 25040= 1255325=90000125258= 2554= 458= 7800254= 254062= 45(106)=9000156=
3、 900518= 125(239)=5(137)= 75(346)= 2528=125176= 1252596= 15(528)=39825= 125(8+80)= (25125)(84)=50199= 38254= 817125= 4825125= 27= (725)=838399= 565699 = 999999=3862+3838= 75147014= 5599+55= 1229+12= 58199+58= 4279+42=56199+56= 6910169= 552155=125(80+8)= 31713129= 44234413=9999+99 = 387+3114= 2546+50
4、27=7925+222525= 23545477= 49135113= 618612= 879987= 42294129= 9216168= 652658= 73757527=36343666= 75232523= 63435763=936934= 32511332513= 2818828=2539 10138= 7510175 = 12581125=35(100-1)= (200-4)25= 1916+1984= 78102= 69102= 56101=52102= 2541= 3199= 2999= 10276= 4298=8598= 12579= 5599=10276= 1298= 39
5、825= 2534 = 99246= 36198= 5289= 20138-38= 4823+4826+5148= 一、怎样简便就怎样算。14578255 10532 6561643648124812 13+46+55+54+87 54078160 363154146 4112559752825 9217927 455(155230)32161432 690152 649910327 76102 3600254 9935 (2512)4 56272744569956 1252584 2532125 12564 48125 (6+8)125229-83+171-117 569956 125258
6、4 355+260+140+245 98101 48125 645-180-245389938 3500145 175562556 50252040368+156+344+132 125478 7200254 4425 9658+9642 6300(635) 482 -(182+50) 13527+13572+135368+156+344+132 125478 7200254 4425 9658+9642 6300(635) 482 -(182+50) 13527+13572+135789-136-64 13229+132 9883+166 3700425 881250 48125 12532
7、125 3688+3615-108355+260+140+245 98101 48125 645-180-245 389938 3500145 175562556 125322598+265+202 273-73-27 250134 320042588125 9938+38 1723-237 721256415-564 25(1240) 9956+56 21821655345 3200425 29899298 (408)25 97812514578255 10532 6561643648124812 13+46+55+54+87 656-164+3654078160 363154146 411
8、2559752825 9217927 455(155230)32161432 690152 649910327 76102 3600254 9935 (2512)4 56272744569956 1252584 2532125 12564 48125 (6+8)125229-83+171-117 569956 1252584 355+260+140+245 98101 48125 389938 3500145 175562556 50252040 645-180-245 4425 368+156+344+132 125478 7200254 9658+9642 6300(635) 482 -(
9、182+50) 368+156+344+132 125478 7200254 4425 13527+13572+135 3700425789-136-64 13229+132 9883+166 881250 48125 12532125 355+260+140+245 98101 48125 645-180-245 3688+3615-108 8932+8968389938 3500145 175562556 98+265+202 273-73-27 250134 3200425 1253225 7212588125 9938+38 1723-237 6415-564 25(1240) 995
10、6+56 21821655345 978125 7299+723200425 29899298 (408)25 8999+89 5215-552 5510212564 4525+7545 991258 3200254 25084 8999+89 5215-552 5510212564 4525+7545 3619-936 55101991258 3200254 25084 8899+889985+85 12524 7555+7545 291258 5600254 250849985+85 3619-936 55101 25(40+4)12524 7555+7545 38101 12524291
11、258 5600254 25084 3313-993619-1926 2545+7545 8752+874812516 2100254 25(40+4) 4412-88 3619-1926 2545+7545 3810112516 2100254 25(40+4) 12524 第一种 (例)25x(4+8) 125x(8+8) (11+25)x8 =25 x4+15 x8 =100+120 =220 第二种(例)84x101 504x25 78x102 25x204 =84 x(100+1) =84 x100+84 x1 =8400+84 =8484第三种(例)99x64 99x16 638x
12、99 999x99 =(100-1) x64 =100 x64-1 x64 =6400-64 =6336第四种(例)99X13+13 25+199X25 32X16+14X32 78X4+78X3+78X3 =(99+1)x13 =100 x13 =1300第五种25X32X125 125X32X8 88X125 72X125 =(25 X4) X(8 X125) =100 X1000 =100000第六种(例)3600254 8100475 30001258 1250255 =3600(25 X4) =3600100 =36第七种1200-624-76 2100-728-772 273-73
13、-27 847-527-273 =1200-(624+76) =1200-700 =500第八种278+463+22+37 732+580+268 425+14+186 =(278+22)+(463+37) =300+500 =800第九种 214-(86+14) 787-(87-29) 365-(65+118) 455-(155+230) =214-14-86 =200-86 =114第十种 871-299 157-99 363-199 968-599 =871-300+1 =571+1 =572第十一种178X101-178 83X102-83X2 17X23-23X7 35X127-35
14、X16-11X35 =(101-1)X178 =100 X178 =17800第十二种 64(8X2) 1300(13 X5) 480(8 X2) =6482 =82 =4第十三种 62525 36024 27045 =62555 =1255 =25第十四种100+45-100+45 25+75-25+75 423+76-76+77 243+85-243+85 =(100-100)+(45+45) =0+90 =90第十五种20X420X4 25X425X4 56X856X8 12X612X6 =(2020)X(4X4) =1 X 16 =16 练习:169+354+231+146 987-3
15、62-138 1347-(347+125)135+236-135+236 198 X26 148 X56-48 X56 21015 199 X37+37 215 X63-15 X63 101 X22-22 203 X14 125 X33 X4 125 X16 X50 365+997 452-398 简便运算习题1.加法交换律(a+b=b+a)如:152+389+348=152+348+399=500+399=899习题:77+56+23 165+477+135 154+288+462.加法结合律a+b+c=a+(b+c)如:591482118=591(482118)=591+600=1191习
16、题:285+147+253 99+178+122 456+588+412 692+325+753.加法交换律、结合律如:32296841 =32+68+29+41 加法交换律 =(32+68)+(29+41) 加法结合律 =100+70 =170习题:(148+64)+(52+136) 650+(171+350)+129 128+114+86+1724.乘法交换律ab=ba如:25454 =25445 =10045 =450025314 125278 4069255.乘法结合律:abc= a(bc)如:781258 12532 =78(1258) =125(84) =781000 =12584
17、 =78000 =4000习题:52254 12572 12588 2532 2544 125486.乘法交换律、结合律如:1254825 =1258425 乘法交换律=(1258)(425)乘法结合律=1000100=100000习题:1252532 7.乘法分配律:a(b+c)=ab+ac如:2757+2743 2799+27 27 99 =27(57+43) =27(99+1) =27(100-1) =27100 =27100 =27100-271 =2700 =2700 =2673习题:6734+6766 12743-2743 27101-27 27 101 6721+6778+67
18、6723+6778+67-6712340+66120 2544 12588 85102 69102 789865+6599 587+87+874 8.减法运算性质; a-b-c=a-(b+c)=a-c-b如:781-178-122 721-488-121 745-(245+188) =781-(178+122) =721-121-488 =745-245-188 =781-300 =600-488 =500-188 =481 =112 =312习题: 456-273-127 623-169-223 553-(289+153 ) 772-456+228 689-(289-153 ) 136-88
19、+164-1129.除法运算性质;a b c=a (bc)=a c b如:720 36 2 =720( 36 2) =720 72 =10习题:2700254 56002556 3900 (394) 综合练习简便运算怎样简便就怎样算。一、355+260+140+245 98101 48125 645-180-245389938 3500145 175562556 50252040二、368+156+344+132 125478 7200254 4425 9658+9642 6300(635) 482 -(182+50) 13527+13572+135三、368+156+344+132 1254
20、78 7200254 4425 9658+9642 6300(635) 482 -(182+50) 13527+13572+135四、789-136-64 13229+132 9883+166 3700425 881250 48125 12532125 3688+3615-108五、355+260+140+245 98101 48125 645-180-245 389938 3500145 175562556 1253225六、98+265+202 273-73-27 250134 320042588125 9938+38 1723-237 72125七、6415-564 25(1240) 9
21、956+56 21821655345 3200425 29899298 (408)25 978125八、355+260+140+245 10299 2125 645-180-245 382101-382 460508 358+356-435 12532 九、2546 10156 9926 1022478422 987(287135) 478256144 6723664 36643664 十、48728713961 50025734143 2000368132 1814378422899989 1552643644 25(204) 8822522512 十一、6982919 568(68178)
22、 5611958 3821653582 236+189+64 759-126-259 25794 569-256-44 十二、216+89+11 571258 1050157 169123231693799+37 129101129 14969149+14932 5651+5648+56 十三、1252532 2425 12548 514+189214369256+156 56254125 2473+2624 109+(291176)十四、1698+32 512+(373212) 228+(72+189) 169+199 58699 575250275 3721211221 1258825三、
23、计算(能简便就简便) 一、85+14(14+20826) 21+(327-23)19 539-513(37814) 34-30941713 19+(253-22)21 50+2028-42 (23+23)24-597 (110-10)10-10 45-24+1414 二、304-275(27525) (70+10)(18-10) 1201218-54 44+1615-32 (10-10010)11 (53-58821)36 (60+10)(17-10) 17+(233-43)10 1001010-60 三、424-4751916 22+(374-10)26 (245-11)18-11 22-(
24、10+10010) (252-14)17-10 35-13+1015 (346-10)16-12 215-198(12111) (45-65121)33 四、19+19212-10 5722223-158 19+56-122434 (714-12)27-19 14+(21-19)14 18-(13+15)262 736(43-20)23 (227+11)(31-14) 36+1914-23 五、8282312-48 18-15+1018 (31-15411)12 (1369-37)37-32 160(22-12)22 3572113-213 985-7282635 (438-39)21-12
25、(20+18)11-239 六、5016040 (58+370)(64-45) 120-14418+35 7850144012 385616+8516 4000(16+83213) (326+9525)37 (723618228)28 (42752475)25七、178-14556+42 420+580-642128 812-700(9+3111)5016040=54 120-14418+35=147 (58+37)(64-95)95(64-45) 178-14556+42 120-36418+35八、58585842 3874(8741000) 136101-1363293862 347129147 4600254 60001258 2512532 36045九、4425 591482118 99I26125158 986+1999 473+79-6380501-80 76+38+24+162 19999+199 十、2512548 409258 5525+2545 32+129+268+71 438+126+162+674 5555+4555861255 8135+865 5637-5626-56十一、4512+55
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