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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
=100000
56×125
=7×(8×125)
=7×1000
=7000
2、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
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
=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
=3800
54×154－45×54－54×9
=54×(154-45-9)
=54×100
=5400
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
(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
=(187-63-52) ÷12
=72÷12
=6
(12＋24＋36＋48)÷6
=12÷6+24÷6+36÷6+48÷6
=2+4+6+8
=20
21÷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)
=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
=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
=31
1320×500÷250
=1320×(500÷250)
=1320×2
=2640
35×222÷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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