简便方法计算?

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李沁沁9
2020-04-08 · TA获得超过2324个赞
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=0.28×(95.7十6.3-2)
=0.28×100
=28
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利用以下运算定律和性质,可进行简便运算。
加法交换律:a+b=b+a
加法结合律:a+b+c=a+(b+c)
乘法交换律:a×b=b×a
乘法结合律:a×b×c=a×(b×c)
乘法分配律:(a+b)×c=a×c+b×c
减法的性质:a-b-c=a-(b+c) a-b+c=a-(b-c)
除法的性质:a÷b÷c=a÷(b×c) a÷b×c=a÷(b÷c)
例如:
8x(25x15)
=(4x2)x(25x15)
=(4x25)x(2x15)
=100x30
=3000

5x4x5x20
=5x5x4x20
=25x4x20
=100x20
=2000

420÷18
=420÷6÷3
=70÷3
=70/3

25x7x4x3
=(25x4)x(7x3)
=100x21
=2100

15x32x25
=15x(4x8)x25
=(15x8)x(25x4)
=120x100
=12000

3800÷25÷4
=3800÷(25x4)
=3800÷100
=38

1600÷125÷8
=1600÷(125x8)
=1600÷1000
=1.6

25x8
=25x4x2
=100x2
=200

102x99
=102x(100-1)
=102x100-102x1
=10200-102
=10098

382x101-382
=382x101-382x1
=382x(101-1)
=382x100
=38200

35x8-4x35
=35x(8-4)
=35x4
=140

136x101-136
=136x101-136x1
=136x(101-1)
=136x100
=13600

4600/25/4
=4600/(25x4)
=4600/100
=46

25x15x4
=25x4x15
=100x15
=1500

99x126
=126x(100-1)
=126x100-126x1
=12600-126
=12474

120÷(3分之1-4分之1)
=120÷(12分之4-12分之3)
=120÷12分之1
=120×12
=1440

10.1×89-8.9
=101x8.9-8.9x1
=8.9x(101-1)
=8.9x100
=890

9.07-22.78÷3.4
=9.07-6.7
=9.07-(7-0.3)
=9.07-7+0.3
=2.07+0.3
=2.37

5+7×(8+12)÷(4-2)
=5+7×20÷2
=5+70
=75

16x4+16x6x16
=16x4+96x16
=16x(4+96)
=16x100
=1600

7/25×4/9+7/25×5/9
=7/25×(4/9+5/9)
=7/25×1
=7/25

60×(1/12+1/15+1/4)
=60×1/12+60×1/15+60×1/4
=5+4+15
=24

(5/12-3/8)×72
=5/12×72-3/8×72
=30-27
=3

6/7-5/24÷7/12
=6/7-5/24×12/7
=12/14-5/14
=7/14
=1/2

[3/4×(7/16-1/4)]÷9/13
=3/4×(7/16-4/16)×13/9
=1/4×3/16×13/3
=13/64

2/3-7/8+1/3
=(2/3+1/3)-7/8
=1-7/8
=1/8

5/6-(3/7-1/6)
=(5/6+1/6)-3/7
=1-3/7
=4/7

1-1/3-2/3
=1-(1/3+2/3)
=1-1
=0

1+3/5-1/10
=1+6/10-1/10
=1+1/2
=1又1/2

3/8-12/13+5/8
=3/8+5/8-12/13
=1-12/13
=1/13

1-(1/2-3/4)
=1+3/4-2/4
=1+1/4
=5/4

1-1/2-1/4
=1/2-1/4
=2/4-1/4
=1/4

2/7-8/9+5/7
=(2/7+5/7)-8/9
=1-8/9
=1/9

2-1/4-3/4
=2-(1/4+3/4)
=2-1
=1

1/2-(3/8-1/2)
=1/2+1/2-3/4
=1-3/8
=5/8

2.64×1.7-2.64×0.7
=2.64×(1.7-0.7)
=2.64×1
=2.64

31.5×1.07-3.15×0.7
=3.15×10.7-3.15×0.7
=3.15×(10.7-0.7)
=3.15×10
=31.5

2.7×5.7-2.7+5.3×2.7
=2.7×(5.7-1+5.3)
=2.7×10
=27

0.625÷0.125×0.8
=(0.625×0.8)×8÷(0.125×8)
=0.5×8÷1
=4

18.6×6.1+3.9×18.6
=18.6×(6.1+3.9)
=18.6×10
=186

0.92x15+0.08x15
=(0.92+0.08)×15
=1×15
=15

0.72×1.25×2.5
=0.9×(0.8×1.25)×2.5
=0.9×1×2.5
=2.25

400.6x7-2003x0.4
=200.3x14-200.3x4
=200.3×(14-4)
=200.3×10
=2003

300÷125÷8
=300÷(125×8)
=300÷1000
=0.3

396-96-172-28
=(396-96)-(172+28)
=300-200
=100

125x24
=125x8x3
=1000x3
=3000

26x15
=(20+6)x15
=20x15+6x15
=300+90
=390

25x99x4
=25x4x99
=100x99
=9900

250x32
=250x4x8
=1000x8
=8000

(98+98+98+98)x25
=4x98x25
=4x25x98
=100x98
=9800

3/4÷5/8×3/10
=3/4×8/5×3/10
=9/5×1/5
=9/25

1.25×(8+10)
=1.25×8+1.25×10
=10+12.5
=22.5

1.24+0.78+8.76
=(1.24+8.76)+0.78
=10+0.78
=10.78

1/2-(4/5-1/2)
=1/2+1/2-4/5
=1-4/5
=1/5

4800÷25÷4
=4800÷(25x4)
=4800÷100
=4800÷100
=48

2/5-(3/8-3/5)
=2/5+3/5-3/8
=1-3/8
=5/8

3/4-(3/7-1/4)
=3/4+1/4-3/7
=1-3/7
=4/7

3.2x0.125x2.5
=0.125x8x(0.4x2.5)
=1x1
=1

0.4×125×25×0.8
=(0.4×25)×(125×0.8)
=10×100
=1000

1.25×(8+10)
=1.25×8+1.25×10
=10+12.5
=22.5

9123-(123+8.8)
=9123-123-8.8
=9000-8.8
=8991.2

1.24×8.3+8.3×1.76
=8.3×(1.24+1.76)
=8.3×3
=24.9

9999×1001
=9999×(1000+1)
=9999×1000+9999×1
=10008999

14.8×6.3-6.3×6.5+8.3×3.7
=(14.8-6.5)×6.3+8.3×3.7
=8.3×6.3+8.3×3.7
=8.3×(6.3+3.7)
=8.3×10
=83

1.24+0.78+8.76
=(1.24+8.76)+0.78
=10+0.78
=10.78

933-157-43
=933-(157+43)
=933-200
=733

4821-998
=4821-1000+2
=3823

32×125×25
=4×8×125×25
=(4×25)×(8×125)
=100×1000
=100000

1.8+18÷1.5-0.5×0.3
=1.8+12-0.15
=13.8-0.15
=13.65

6.5×8+3.5×8-47
=52+28-47
=80-47
=33

3.7x2.56-2.3
=9.472-2.3
=7.172

1.24+0.78+8.76
=(1.24+8.76)+0.78
=10+0.78
=10.78

1/2-(4/5-1/2)
=1/2+1/2-4/5
=1-4/5
=1/5

4800÷25÷4
=4800÷(25x4)
=4800÷100
=4800÷100
=48

2/5-(3/8-3/5)
=2/5+3/5-3/8
=1-3/8
=5/8

3/4-(3/7-1/4)
=3/4+1/4-3/7
=1-3/7
=4/7

3.2x0.125x2.5
=0.125x8x(0.4x2.5)
=1x1
=1

0.4×125×25×0.8
=(0.4×25)×(125×0.8)
=10×100
=1000

1.25×(8+10)
=1.25×8+1.25×10
=10+12.5
=22.5

9123-(123+8.8)
=9123-123-8.8
=9000-8.8
=8991.2

1.24×8.3+8.3×1.76
=8.3×(1.24+1.76)
=8.3×3
=24.9

9999×1001
=9999×(1000+1)
=9999×1000+9999×1
=10008999

14.8×6.3-6.3×6.5+8.3×3.7
=(14.8-6.5)×6.3+8.3×3.7
=8.3×6.3+8.3×3.7
=8.3×(6.3+3.7)
=8.3×10
=83

1.24+0.78+8.76
=(1.24+8.76)+0.78
=10+0.78
=10.78

933-157-43
=933-(157+43)
=933-200
=733

4821-998
=4821-1000+2
=3823

32×125×25
=4×8×125×25
=(4×25)×(8×125)
=100×1000
=100000

9/17x8/13+8/13/(17/8)
=9/17x8/13+8/13x8/17
=8/13x(9/17+8/17)
=8/13x1
=8/13

10.1×89-8.9
=10.1x89-89x0.1
=89x(10.1-0.1)
=89x10
=890
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