整数乘除法简便计算分类练习题
1、凑整 25×32×125 =(25×4)×(8×125) =100×1000 =100000
937×125×25×64×5
=937×(125×8)×(25×4)×(5×2)=937×1000×100×10 =937000000 80×16×25×125 =(80×125)×(25×4)×4 =10000×100×4 =4000000 125×5×32×5
=(125×8)×(5×2)×(5×2) =1000×10×10
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=100000 56×125 =7×(8×125) =7×1000
=70002、利用乘法分配律简算46×101=46×(100+1) =46×100+46×1 =4600+46 =4646 17×999 =17×(1000-1) =17000-17 =16983 125×98 =125×(100-2) =12500-250 =12250
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37×99 =37×(100-1) =3700-37 =3663 234×102 =234×(100+2) =23400+468 =23868(100－4)×25 =100×25-4×25 =2500-100 =2400
3、逆用乘法分配律简算 95×71＋95×29 =95×(71+29) =95×100 =9500
64×25＋35×25＋25
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=25×(64+35+1) =25×100 =2500
123×235－24×235＋235 =235×(123-24+1) =235×100 =235
586×124＋29×586－586×53 =586×(124+29-53) =586×100 =58600 62×38＋38×38 =38×(62+38) =38×100
=380054×154－45×54－54×9=54×(154-45-9) =54×100 =5400
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67×12＋67×35＋67×52＋67=67×(12+35+52+1) =67×100 =6700
4、利用商不变的性质简算(分子分母同时乘以相同的数、商不变)21000÷125 =21000×8÷(125×8)=168000÷1000=168 110÷5
=110×2÷(5×2) =220÷10 =22 44000÷125
=44000×8÷(125×8)=352000÷1000=352 47700÷900
=47700÷100÷(900÷100)=477÷9 =53
5、利用除法分配律简算
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(99＋88)÷11 =99÷11+88÷11 =9+8 =17
25÷13＋14÷13 =(25+14)÷13 =39÷13 =3
13÷9＋5÷9 =(13+5)÷9 =18÷9 =2
31÷5＋32÷5＋33÷5＋34÷5=(31+32+33+34)÷5 =130÷5 =26
187÷12－63÷12－52÷12
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=(187-63-52)÷12 =72÷12 =6
(12＋24＋36＋48)÷6 =12÷6+24÷6+36÷6+48÷6 =2+4+6+8 =2021÷5－6÷5 =(21-6)÷5 =15÷5 =3
6、利用乘除法的带符号“搬家”进行简算360×40÷60 =360÷60×40 =6×40 =240
99×88÷33÷22 =(99÷33)×(88÷22)
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=3×2 =6 27×8÷9 =27÷9×8 =3×8 =24 6÷8×4 =6×4÷8 =24÷8 =3
7、乘除同级运算的去括号法则25×(4×43) =25×4×43 =100×43 =4300
45000÷(25×90) =45000÷90÷25 =500÷25
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=20 125×(8×37) =125×8×37 =1000×37 =37000
562×397÷(281×397) =(562÷281)×(397÷397) =2×1 =2
5600÷(1400÷4) =5600÷1400×4 =4×4 =16
8、乘除同级运算的括号法则31000÷8÷125 =31000÷(8×125) =31000÷1000
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=31
1320×500÷250 =1320×(500÷250) =1320×2
=264035×222÷111=35×(222÷111) =35×2 =70
37500÷4÷25 =37500÷(4×25) =37500÷100 =375
61000÷125÷8 =61000÷(125×8) =61000÷1000 =61
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