整数乘除法简便计算分类练习题(带答案)

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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

=380054×154-45×54-54×9

=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

=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)

=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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