500道有理数计算题

有理数计算12013初 一年级 小学一年级数学20以内加减练习题小学一年级数学20以内练习题小学一年级上册语文教学计划人教版一年级上册语文教学计划新人教版一年级上册语文教学计划 有理数计算题集使用说明：有理数的计算是初中数学学习的敲门砖，谁做得好，谁就先起步。本题集的制作初衷是为学生提供计算题目以便强化计算能力。此题集共500道，1-445题为基本四则运算，建议每天做20道，如能保证答题准确率在85%以上，说明计算能力比较过关。446-500题为能力计算题目，涉及等差数列，等比数列，裂项等技巧，建议学完计算技巧后再作题进行巩固。要相信坚持总有回报，祝愿每位同学取得优异的成绩。感谢学而思教研部老师的辛苦工作，由于时间有限，如有错漏之处，请批评指正。1.6115()53242.52555(2)47571233.22390.84.8()2.20.81177114.1347()(154)6205125.73()(2.4)1876.3412()(5)7777.11311[15(13)](1)24528－＋有理数计算28.11(5)()5559.11321()()3211474210.2215130.34(13)0.34373711.11(13)(134)()136712.7111(4)(5)(4)3824813.(16503)(2)14.110.536.75542（－）－（－）－15.21917887.21435312.79212116.(6)(4)(32)(8)317.211()|1|722－－－－学而思初中优秀教学体系3有理数计算18.(9)(4)(60)1219.9581[()1]()147214220.1|3|10(15)321.375112?532162（）22.11171(231)(1)(7)32186－23.31(820.04)4324.551(0.4)(2.5)25.251(1)(10.5)326.575(7)(243)(246)27.213(2)(1)8()312有理数计算428.912311(27)9()(24)112341229.827943()(3)111011530.1120.12533110.2548331.211(455)36545521154554536532.102131111()[9(3)]31412233.8221211(1)()()[2(3)]0.5236834.25171()24(5)13861235.131170.1251.21321336.2342()()0.2534学而思初中优秀教学体系5有理数计算37.7511[30()36]59612（）38.23155(1)()()()7414839.31315(1)(1)()()4242440.8)3(4)2(32341.2)2(2)1(321042.2)2(2)2(2332243.])3(2[6112444.]2)33()4[()10(22245.])2(2[31)5.01()1(2446.20022003)2()2(有理数计算647.20052004(0.25)448.94)211(42415.032249.)2()3(]2)4[(3)2(22350.32(4)(75)－51.2)2(2)1(321052.57428353.2225(3)[()](6)439－－－－－54.31[2(10.54)]－－－－－55.312123)2122(3)543(3151256.295(3)(2)4＋－57.3(5)[2(6)]3005学而思初中优秀教学体系7有理数计算58.2211(1)1339－59.[124(310)]4－60.32(3)4(3)15－＋61.4211[2(3)]6―－－62.213502()15＋－63.421632()94－64.1003212181215.2065.21002212(1)1221|132|（）66.3483(1)(4)67.3145()2－有理数计算868.2)3121(3669.24)23(94270.543436183241171.)12()4332125(72.)4()81()2(16373.2111()()(2)(14)236＋74.33[5(10.2)(2)]575.11112239910076.911321321学而思初中优秀教学体系9有理数计算77.124310(49)78.4435222（）（）79.32416210（）（）80.2153233（）（）（）81.3342331（）（）82.232[3323]43（）83.1293123223（）84.)6(23517235)34()235(85.1551151227722786.23(2)(1)31(2)［］有理数计算1087.3223(4)(9)088.31452（）89.348311（）（）90.32422()9391.211[123]6（）92.759015（）（）（）93.23420.2534（）（）（）94.1173134812642495.113700.2524.5525%4296.333145学而思初中优秀教学体系11有理数计算97.52530698.5411.511215399.13810.0434100.3338878158777101.1799918102.17.984103.450.258104.130.570445105.7213.2329213有理数计算12106.74948107.157556108.24912525109.200420062005110.231243412111.2211613325112.17371178412113.1173332127114.15511521214142214学而思初中优秀教学体系13有理数计算115.4555542792793116.71.7516117.31231527118.148121549119.1084120.1177121.294.558122.121311234123.141315432251518有理数计算14124.1347415620512125.111111111111357357357357126.25(8)(1)127.11()128128.4(6)(3)129.12()(3.25)5130.313.5(0.7)(5)5131.112167342132.1230.1434133.2212162()2学而思初中优秀教学体系15有理数计算134.344411117777135.211110.5210.5100.5323136.21.8(1.8)3137.114254138.1348(1)124139.220.52(3)140.113()1234141.322322(2)()(2)2()833142.4327221()()1727173143.3777(1)()48128有理数计算16144.241(7)(30)33.25134145.868635.28.642－＋146.200720092008147.199279148.762()(1.5)3149.201020111()33150.201120102009(7)147(49)(7)151.214.732(2.631)33152.421(3)(1)()7315153.812763189（）（）学而思初中优秀教学体系17有理数计算154.13122(3)2523155.28[710.63]3156.151()46157.2(0.8)15158.15631218159.1.51.80.80.9160.112133[2357]32324161.222115[1344]33155162.43510.712150.7(15)9494有理数计算18163.45812605615164.15154232918165.142816149（）166.12114.43.1830（））（167.41889365036.25525323（）168.53145119(20)(302.5)(151)119197131717132169.5113(3[(2)5.17536.325]3714837）170.53124(3)(3)(1)6565171.3511(114662）学而思初中优秀教学体系19有理数计算172.224411()(0.6)33535173.7131441232555555174.111632535.2523477175.275315(3(2)(3)5(1)558125812）176.211(1)35177.56.5()6178.314()(1)()429179.50.25(4)96180.51()(3)63有理数计算20181.421(3)(1)(1)7314182.12114()()(1)(1)(1)23435183.31123.82.4799.6()(339)8873184.8[3.6(0.2)(0.4)1]185.2231356(8)2(2)4186.5.7215.8（）187.0.47()50347188.11(3)(5)24189.1111(()()()6432）190.23632(2)3482(2)学而思初中优秀教学体系21有理数计算191.232111(32)4(0.5)(1)325192.54()(3)(1)(2)65193.283256(1)(0.5)81477194.3311112(2)332195.235()(4)0.25(5)(4)8196.2(3)2197.12411()()()23523198.11(1.5)42.75(5)42199.8(5)63200.3145()2有理数计算22201.25()()(4.9)0.656202.22(10)5()5203.323(5)()5204.25(6)(4)(8)205.1612()(2)472206.67()()51313207.211()1722208.737()()848209.21(50)()510210.2(16503)(2)5学而思初中优秀教学体系23有理数计算211.32(6)8(2)(4)5212.21122()(2)2233213.199711(10.5)3214.2232[3()2]23215.232()(1)043216.4211(10.5)[2(3)]3217.4(81)(2.25)()169218.215[4(10.2)(2)]5219.666(5)(3)(7)(3)12(3)777220.235()(4)0.25(5)(4)8有理数计算24221.23122(3)(1)6293222.32323(2)()()32223.13812711()3(2)()23224.222172(3)(6)()3－－225.43212(8)()(2)2226.81)4(2833227.22100(2)(2)()3228.22(3)(4)229.22312()(0.8)2学而思初中优秀教学体系25有理数计算230.2232113()(2)()32231.232()(1)043232.2162()5233.2108(2)43234.551(0.4)(2.5)235.251(1)(10.5)3236.(14)26(14)(16)8237.(5.5)(3.2)(2.5)4.8238.(8)(25)(0.02)239.1557()(72)29612有理数计算26240.11(2)()32241.211(4)()22242.51552040.65(31)112280.52243.2212113()12(4.53)()233244.23242341()()()(1)32232245.111512255()()16(1)44543246.20(15)(28)17247.6523157248.2113()(1)3838249.(5.54)(3.2)(2.5)4.8学而思初中优秀教学体系27有理数计算250.295(3)(2)4251.32(1)(5)(3)2(5)252.32432(2)(1)(2)(2)253.3(5)2(6)3005254.222221()32()4(1)3332255.221313(5)()240(4)2354256.1347()(154)620512257.3412()(5)777258.(5.5)3.24.56.8259.2238()(4)()(8)595有理数计算28260.11(13)(134)()1367261.224275543()7811262.23210022()(2)3263.222172(3)(6)()3264.2335(2)(10.8)114265.201023)1()2(161)1()21()21(266.)145()2(52825267.7111(4)(5)(4)38248268.11(0.5)(3)6.75542269.(6)(4)(32)(8)3学而思初中优秀教学体系29有理数计算270.1(5)(16)(2)3271.4321(2)(8)()(2)2272.322)43(6)12(7311273.111117(113)(2)92844274.235(4)0.25(5)(4)8275.1113|16|2(4)()448276.(9)(4)(60)12277.230(3)3(2)278.22312()(0.8)2279.37511()2532162有理数计算30280.2232113()(2)()32281.2333(2)(3)(1)(3)282.3233112()()(2)33283.22131(2)2[()3]245284.13611754136227231285.22)36()33(24)12581(286.2132()5－287.222172(3)(6)()3288.225(3)[()]39289.28(3)(2)学而思初中优秀教学体系31有理数计算290.22100(2)(2)()3－－－－291.421232()33－－292.24(3)2(3)4293.12411()()()23523294.11(1.5)42.75(5)42295.200612(1)(24)(22.75)83296.103(1)2(2)4297.422(10)[(4)(33)2]298.33422()93299.2310110.25(0.5)()(1)82有理数计算32300.4321(2)(8)()(2)2301.222475(5)4(3)()(7)811302.31{(3)[30.4(1)(2)]}2303.421110.52(3)3（）［］304.3334[(17)6][(5)3](2)－305.332313[8(2)1](3)(2)0.25306.9.538(2|11.641.531.36|)307.73.17(812.03|219.83518|)308.1112(398)309.95(945)310.5.64.7|3.83.8｜学而思初中优秀教学体系33有理数计算311.1213521(36)(16)(45)(10)27277312.5211()(2)(4)319152313.555()83()(13)()28666314.23181920222...222315.111...133519971999316.3145()2317.25()()(4.9)0.656318.22(10)5()5319.323(5)()5320.25(6)(4)(8)有理数计算34321.1612()(2)472322.2(16503)(2)5323.32(6)8(2)(4)5324.235()(4)0.25(5)(4)8325.23122(3)(1)6293326.21122()(2)2233327.19971(1)(10.5)3328.2232[3()2]23329.232()(1)043330.4211(10.5)[2(3)]3学而思初中优秀教学体系35有理数计算331.215[4(10.2)(2)]5332.666(5)(3)(7)(3)12(3)777333.42311[2(3)]6334.7574.037127.5371236)9618（335.2212[3()0.8](2)35336.3825583521()337.[(3)(4)5][82(6)]4338.824134()()339.()[()()]11551135340.42991310.25(1)123.7524283有理数计算36341.1311143343411342.1133411334343.22222233344.1235342123341822345.22331349722232()|()()|||||346.13525(2)2514347.234(1.5)1243348.34311(1)2349.210.23435.35学而思初中优秀教学体系37有理数计算350.222243(3)(5)(0.3)0.95351.11232311412243352.71957180251411313..353.11234021341435..354.11160752116340534..355.()212341351499113192222356.4211(10.5)2(3)3357.33423(1)(1)358.33510.2(2)5有理数计算38359.12(17)1(0.6)4360.2311(10.6432)361.3213322.2512853362.261(0.4)(2.5)363.362211362364.1448551836615335175123192155.....365.222410.43.12.610.30.15366.513113(50)217348367.11572348126824学而思初中优秀教学体系39有理数计算368.4535522723723237369.199719996661998370.23353(5)32(2)|46|20.6258371.4946111(3)20.24911235372.2782411813318833373.)2()2(2123322374.2135322132213122375.87216543313113)1(61)5.4(18719992000有理数计算40376.)57(5857377.4443145378.494953157.04953843.0379.3330037380.199084481990199014181990381.999999999999999999382.149297483149297483383.2314.0411432417384.12122211341125.0221132322学而思初中优秀教学体系41有理数计算385.41611143125.1012112310013386.199519953(0.125)[(2)]387.25413()(0.612)()651010388.389.232006333...3390.199720002000200019971997391.22222221949195019511952...199719981999392.22221111(1)(1)...(1)(1)23910393.1111...12123123100394.987654321987654324987654323987654322有理数计算42395.1121231299()()...(...)233444100100100396.32)65()43(21397.38(4)(2)4398.111135()532114399.34153()2（）400.42223721（）（）401.1031224（）（）402.2395525（）（）（）403.333(125)()62187()777404.2725.0)431(218)522(52学而思初中优秀教学体系43有理数计算405.311252525424（）406.38(4)23407.22733(3)408.4435(2)2(2)409.(28)(64)(1)5410.2(2)07(8)(2)411.13131()24524864412.2332312(3)(2)(9)3413.222122(1)33414.32432(2)(1)(2)(2)415.32(1)(5)(3)2(5)有理数计算44416.75.61258)431(121417.2335(2)(10.8)114418.75)21(212)75(75211419.4)2(51232420.50)3(15)3(42421.3211(10.5)2(3)7422.22)7()6(6112119750423.3521325.06.05.2)1(424.111117(113)(2)92844学而思初中优秀教学体系45有理数计算425.419932(4)(1416)41313426.33221121(5533)22427.2375(2)(10.8)114428.151623（）（）（）429.42(3)60.25430.3(5)[1.85(21)7]4431.18{10.4(10.4)0.4}432.1111()636433.–3[4(43.51)][2(3)]434.3.57.754.251.1有理数计算46435.321612115()|(2)|(2)(|()|)2114332436.1110.125(3)(3)()(0.25)488437.5215[(9)]317.75632438.1211[3()1](8)8233439.7211()(4)9353440.78(0.125)8441.4010(0.25)256442.12(3)(4)56(7)(8)(23)(24)443.1111111142648620102008444.1111(1)(1)(1)(1)2009200820071000学而思初中优秀教学体系47有理数计算445.19(7)128(7)33(7)446.111111223344556447.111......101111125960448.2222109985443449.111111212312100450.111113355799101451.1111251335572325452.2512512512512514881212162000200420042008453.3245671255771111161622222929454.11111111()1288244880120168224288有理数计算48455.11111111612203042567290456.11111113610152128457.1111111112612203042567290458.11111104088154238459.1111135357579200120032005460.74.50.1611111813153563133.753.23461.11111123420261220420462.11111200820092010201120121854108180270463.1122426153577464.1111111315356399143195学而思初中优秀教学体系49有理数计算465.15111929970198992612203097029900466.111123234789467.1111232349899100468.1111135246357202224469.4444......135357939597959799470.999897112323434599100101471.11111123423453456678978910472.333......1234234517181920473.57191232348910474.5717191155234345891091011（）有理数计算50475.3451212452356346710111314476.12349223234234523410477.123456121231234123451234561234567478.23993!4!100!479.234501(12)(12)(123)(123)(1234)(12349)(1250)480.2341001(12)(12)(123)(123)(1234)(1299)(12100)481.23101112(12)(123)(1239)(12310)（）482.22222211111131517191111131学而思初中优秀教学体系51有理数计算483.222222111111(1)(1)(1)(1)(1)(1)23454849484.222222223571512233478485.222222222231517119931199513151711993119951486.22222222222213243598100213141991487.22221235013355799101488.5667788991056677889910489.36579111357612203042490.1325791011193457820212435491.123791117253571220283042492.1111120102638272330314151119120123124有理数计算52493.35496377911053116122030425688494.57911131517191612203042567290495.11798175451220153012496.22222222122318191920122318191920497.11112007111(......)(......)120072200620062200712008120062200520061498.11111123459899515299499.24612335357357911500.28341112222221335571719135357171921参考答案有理数计算531.452.85843.5991054.65.0.46.14277.-108.259.910.13.3411.212.36413.31.514.415.17516.2517.51718.3119.8320.4.721.35022.24323.4.2224.225.7626.50327.6328.1151129.1411030.211331.15400032.5633.711834.1041335.45436.2537.1138.139.13640.5241.042.643.1644.9245.4346.2002247.1448.16249.157250.451.052.453.2054.3055.24356.757.106058.1259.1060.2761.1662.1263.811664.51865.532066.26167.54868.169.8170.239671.472.12273.5174.1122575.9910076.1277.878.1379.124580.281.4582.128483.2784.585.5286.787.188.54889.690.891.11292.4193.--2594.295.10096.697.25098.2999.5.03100.0101.899.5有理数计算54102.1.995103.40104.35.3105.6445106.199.5107.1156108.1245109.200420042005110.4111.83112.13113.17114.54115.25243116.14117.215118.1615119.5120.49121.85122.4225123.38124.6125.0126.64127.524128.486129.0.85130.2716131.29132.6118133.272134.3135.1136.4415137.3920138.80139.7140.15141.123142.519143.13144.260145.2580146.200720072008147.2676148.23149.3150.0151.3.36152.17153.7154.334155.3575156.2512157.1415158.29236159.0.4160.364161.1103162.43.6163.94164.1113165.1166.24.5167.74550168.772169.313148170.263171.14172.315173.0174.1263175.536176.2177.6512178.12179.152180.14181.2182.1183.0184.4.48185.261186.10.08187.3.47188.8.75189.14190.46学而思初中优秀教学体系55有理数计算191.35192.1193.1312194.1116195.90196.18197.15198.0199.23200.548201.1315202.8203.45204.28205.97206.6207.127208.17209.25210.31.3211.120212.112213.76214.9215.916216.16217.1218.132025219.0220.90221.34222.12223.32224.85225.122226.8227.22228.916229.12564230.31231.0232.155233.20234.2235.76236.10237.11238.4239.14240.12241.172242.3512243.43244.7245.172246.24247.50248.12249.11.04250.7251.5252.10253.1060254.183255.1256.6257.1427258.13259.889260.2261.0262.14263.85264.1175265.34266.32267.364268.4269.25270.16271.122272.169196273.58274.90275.5615276.31277.24278.12564279.350280.31281.4282.87227283.24284.25285.16有理数计算56286.125287.85288.11289.10290.22291.1087292.342293.15294.0295.0296.0297.9992298.163299.518300.122301.0302.30.3303.2304.20305.43306.11307.1.03308.8309.50310.8.5311.66312.13313.35314.6315.9991999316.548317.1315318.8319.45320.28321.97322.31.3323.120324.90325.34326.112327.56328.9329.916330.16331.132025332.0333.296334.8.5335.34336.1337.7338.3339.7340.3341.716342.0343.8344.143345.4419346.132347.9348.18349.225350.38.1351.1.5352.2.94353.0.3354.203355.1856356.16357.6358.11225359.3343360.1.02361.243362.2363.1364.10365.9.76366.835367.0368.57369.213319993370.111371.16372.5373.134374.17136375.12376.15658377.1143378.152379.900380.199000381.0382.1学而思初中优秀教学体系57有理数计算383.0384.5212385.5204386.1387.2536388.1898389.2007332390.0391.3897326392.1120393.200101394.2395.2475396.54397.48398.225399.125400.2401.0402.1253403.0404.38405.25406.192407.30408.13409.9410.17411.5124412.123413.23414.10415.5416.1132417.1175418.52419.174420.9421.12422.1423.118424.58425.36426.1949427.32.8428.16429.34430.50431.30432.1433.14.5434.8511435.137244436.18437.54438.596439.3440.8441.1442.24443.5021005444.9992009445.767446.56447.112448.715449.991101450.50101451.12452.211532453.12454.4289455.25456.原式1111112123123412345672221233478111111122233478121874有理数计算58457.110458.原式111112558811111414171111111111132558811111414171115321734459.原式1111111413353557200120032003200511110040034132003200512048045460.原式791611111182901133557791331.2540.8371111111461123357913123463182442923=36461.原式1111112320261220420111112101223344520211111111210122334202112021012102121462.原式1111120082009201020112012366991212151518111111120105912235651005054463.原式132537511726153577111111111223355771111011111464.原式1111111133557799111113131511111111121323521315学而思初中优秀教学体系59有理数计算1112115715465.原式11111111261299001119912239910011111991223991001991100198100466.原式111111111212232334677878891112128935144467.494919800468.38625340032469.32009603470.原式100100100100111...(...)1232343459910010123341001011111151100()()2422101002101101471.原式11111