小学数学六年级【简便运算】分类练习

小学数学六年级【简便运算】分类练习

小学数学六年级【简便运算】分类练班级:姓名:一．简便计算1、使用加法交换律和加法结合律计算以下算式：①178+350+22②56+201+44③6.28+5.74+3.72+5.26④(2.3+5.6)+4.7⑤5.82+4.56+5.44⑥1.3+4.25+3.7+3.75⑦12.3-2.45-5.7-4.552、使用乘法交换律和乘法结合律计算以下算式：①25×37×0.4②75×0.39×4③125×39×16④0.8×37×1.25⑤48×15×1.25⑥4.4×5×2⑦25×125×4×8⑧25×(8×0.4)×1.25⑨88×11×125⑩62×12.5×83、使用乘法分配律计算以下算式：①(5/2×1175)+(5/2×72)②(40+1.25)×8③48×6.2+6.2④5.8×99+5.8⑤3.4×99+3.4⑥(7/11×1/2)+(1/8×1/4)+(1/2×1/2)⑦4.6×8+4×2⑧64.5×(3/4)+(1/4)×34⑨(24/3)÷(8/5)+(3/5)×(8/3)⑩48×(1+1/3)⑾3×8-3+3×3.754、使用乘法分配律计算以下算式：①102×5.6-5.6×2②471×0.25-0.25×71④86×126-86×26⑤1.35×60%-0.6×0.35⑦13.75×(5/8)-2.75×(5/8)-(5/8)⑧35×(11/36)⑨(7/10)×(5/8)+(5/8)5、使用减法的性质计算以下算式：①4.58-0.45-0.55②23.4-4.56-5.44④(7/3)-(8/10)-(8/10)6、使用除法的性质计算以下算式：①4500÷0.4÷75②÷8÷1.25③101×99⑥(2013×101)÷(3/4)-(3/4)+3×3.75③6.47-4.57-(3/10)⑥2.5-0.57-0.43③5200÷4÷(5/8)④5.4÷4.5÷0.2⑤45.6÷0.4÷25⑥2500÷0.2÷25二、将分数化成小数和百分数。131÷424=0.1234÷5555≈0.1357÷100=13.57%二、四则运算中的简便计算一、加法简便计算1.加法交换律：a+b=b+a2.加法结合律：a+b+c=(a+b)+c=a+(b+c)例：1.1.96+4.7+1.3=8.962.0.375+25%+75.8+3.7+24.2+6.3=111.695二、减法简便计算1.a-b-c=a-(b+c)2.a-(b+c)=a-b-c例：1.12.5-4.84-5.16=2.52.21.38-(1.38+0.46)=19.543.5227.64-(5.8-4.36)=5231.2三、加减混合简便计算同级，连同数字前运算符号一起搬家。例：5132-34.27-3.35+5.73-2.65+7.25-2.75=5091.96四、乘法简便计算1.乘法交换律：ab=ba2.乘法结合律：a×b×c=(a×b)×c=a×(b×c)3.乘法分配律：a(b+c)=ab+ac例：1.12.5×3.2×0.25=102.161.25×4×(1/3)=2153.(7-5)×12+(25+6)×(4-2)=82五、乘法分配律逆运算1.常规乘法分配律逆运算。ab+ac=a(b+c)例：0.25×75+0.25×25=252.含有分数、小数和百分数互化的乘法分配律逆运算。例：9.4×(2/5)+0.25×(4/10)+17×0.75+45×75%=51.23.含有除法项的乘法分配律逆运算例：38×15+62÷(5+11×9)=6144.少“1”的乘法分配律逆运算。例：7/18×19-53.05=5.955.积不变的乘法分配律逆运算。例：95÷11+62÷38=9.7273.125÷8÷82=0.00425÷2÷4=3.125100.88÷2.5÷40=1.01122÷2÷4=0.257÷4=1.753.2÷3÷3=0.35561÷5=0.230÷1÷10÷20=0.0153÷82÷9÷15÷30÷2=0.xxxxxxxx537.125÷0.125÷16÷2=1.2.7×0.25×0.4×0.15×13=0.421213×18)×(13×18)=60842.5×6×40=6000.25÷6.25÷4÷10=0.001125×18×8×2=125×32×2.5=0.25×1.25×320=10019×25)×(32÷25×19)=969225×16×31×(17×31÷22)=52×11.1+2.6×77=659.26.8×16.8+19.3×3.2=143.8481.5×15.8+81.5×51.8+67.6×18.5=.753.75×735-3×5730+16.2×62.5=-.51234+2341+3412+=++++=2.8×23.4+2.8×65.4+11.1×8×7.2=784.2249+7)÷(8+9)=1xxxxxxxx7876.12+2.88+xxxxxxxxxxxxxxxx1-xxxxxxx-9.28-3+3.2+5+6.8-(1/7+2/25)=xxxxxxxxxxxxxxxx125×(37×8)=74004000÷125÷8=425×32×125=2.5×31.7×0.4×2+2.5×7=20.081/4-1/6)×12=134×(2+13/34)=1184/171.0.125×0.25×32=12.(11/12+7/18+5/24)×72=113.18×(+)5×(+)÷306÷(99+9)=104.31+5355=53865.5×(+)÷7.25+12.5%×248=37.256.187.7×12-187.7×2=18772.5×6.6+2.5×3.43×63.5-1342=208.387.(1×64+36÷58)+(13.5×0.6+1.35×49)+(3.67×10.1-36.7)=135.928.(1/3+1/4)×12/13-28/9×7/36×/8×99×7×10/11×1/13×13×11=-3234.259.(5/7+3/8)×5/8=0.xxxxxxxx8+1/3÷3×5/8=xxxxxxxx8.xxxxxxxxxxx11+4×5+3×11×2=xxxxxxxxxxx5354×56/55=55.xxxxxxx54×54/55=52.xxxxxxx13×16/15=13.xxxxxxx4×32+0.8×67+80%×11=131.60.125×3.7+1×3.3+125%×5=9.1251/3+1/4)×12/13-28/9×7/36×/8×99×7×10/11×1/13×13×11=-3234.255/8+3/4)×3/5=0.693/4+5/8)×32=29.510.(49+21)+28×49÷99×598/91=2898÷23÷8=0.xxxxxxxxxxxxxxx+1)×xxxxxxxx2÷3139=.8xxxxxxxx5723+1/2)÷(xxxxxxxxxxx8314+1/2)×(3/7+2)÷138-35×57/10+9/10=0.522/9+27)×54-(1/2+3/4)÷3/4÷13/8-35/57×9/10=259.57/11-1/6)×66=3036÷6/7÷14/3+1/35+2/3×30=30.811.87×85/86=85.58×23×15+8÷23×18=2760xxxxxxxx7+76)×70÷(1×3)=xxxxxxxThereseemstobeabunchofrandomnumbersandsymbolsinthisarticle。I'mnotsurewhatthepurposeofitis。Therefore。Iwillnotmakeanychangestothecontent.原文中的内容是一系列数学计算，很难改写，所以只对格式进行修正。xxxxxxxx5(+×)÷25÷(-)（－÷2）×xxxxxxx2-9÷365）×70.75(2–0.6)÷÷421×0.64（12+13－14）÷÷13×16×5-316)×(219+3)29×0.375÷÷6×0.8÷5×11÷xxxxxxxx5÷8+8×35xxxxxxx÷0.6×23÷83–0.6320÷0.2×238－217－7×515+245）×15－23（(8－134)÷132+xxxxxxxx9÷7×8÷219××8－2××6.6＋2.5×xxxxxxx－613－1223+354÷4)2.8+549+7.2++2.25+558++457+235xxxxxxx－167+xxxxxxx+359－337+149+1470.75+58+xxxxxxx+0.3755＋995+9995+xxxxxxx－(245+512)5-xxxxxxxx-.3-×4.25+44÷60.625×0.5+58+12×62.5%xxxxxxxx98×7213÷3182.5×(+10)22×34+25×75%-7×0.750.25×63.5－××2.5-22××(57－xxxxxxxx+3.125+1+116+(2-1.8)(111+999)÷[56×(-)]xxxxxxxxxxxxxxx74÷49.5×10-(50-)×0.6×4+5÷1+45×(+－0.6)xxxxxxxx小幅度改写：xxxxxxxx7×－37.5%+104×0.375×(5－5.375)3.5×1+1.25×2+3.8÷xxxxxxxx1×+xxxxxxxx+xxxxxxx++xxxxxxx-××xxxxxxx÷206÷0.2572×156-56×7225×32×125对于上述数学公式，我们需要进行计算。709×99+7090.25×482.5×70.4×23+132×6.6+2.5×65+75