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1、1.25(8+10)
=1.258+1.2510
=10+12.5=22.5
9123-(123+8.8)
=9123-123-8.8
=9000-8.8
=8991.2
1.248.3+8.31.76
=8.3(1.24+1.76)
=8.33=24.9
99991001
=9999(1000+1)
=99991000+99991
=10008999
14.86.3-6.36.5+8.33.7
=(14.8-6.5)6.3+8.33.7
=8.36.3+8.33.7
8.3(6.3+3.7)
=8.310
=83
1.24+0.78+8.76
=(1
2、.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
I3212525
=4812525
=(425)(8125)
=1001000
=100000
9048268
=(2600+2600+2600+1248)26
=260026+260026+260026+1248269
=100+100+100+48
=348
2881 43
=(1290+1591) 434
=129043+159143
=30+37
3、
3.242.33.75-12.50.42316
=3.242.33.75-1.2542.31.6
=42.3(3.23.75-1.251.6)
=42.3(40.83.75-1.2540.4)
=42.3(40.423.75-1.2540.4)
=42.3(4x0.4x7.5-1.25x4x0.4)
=42.3[40.4(7.5-1.25)]
=42.3[40.46.25]
=42.3(42.5)
=4237
1.8+181.5-0.50.3
=1.8+12-0.15
=13.8-0.15
=13.65
6.58+3.58-47
=52+28-47
=80-4
4、7
(80-9.8)5分之2-1.32
=70.2X2/5-1.32
=28.08-1.32
=26.76
87分之4[1(3.2-2.95)]
=84/7[10.25]
=84/74
=8/7
2700(506-499)900
=27007900
=18900900
=21
33.02-(148.4-90.85)2.5
=33.02-57.552.5
=33.02-23.02
=10
(11-1)5.1
=(1-1)5.1
=05.1
=0
18.1+(3-0.2990.23)1
=18.1+1.71
=18.1+1.7
=19.8
[-18
5、]+29+[-52]+60= 19
[-3]+[-2]+[-1]+0+1+2= -3
[-301]+125+301+[-75]= 50
[-1]+[-1/2]+3/4+[-1/4]= -1
[-7/2]+5/6+[-0.5]+4/5+19/6= 1.25
[-26.54]+[-6.14]+18.54+6.14= -8
1.125+[-17/5]+[-1/8]+[-0.6]= -3
[-98+76+(-87)]*23[56+(-75)-(7)]-(8+4+3)
5+21*8/2-6-59
68/21-8-11*8+61
-2/9-7/9-56
4.6-(-3/4+1.6-4
6、-3/4)
1/2+3+5/6-7/12
[2/3-4-1/4*(-0.4)]/1/3+2
22+(-4)+(-2)+4*3
-2*8-8*1/2+8/1/8
(2/3+1/2)/(-1/12)*(-12)
(-28)/(-6+4)+(-1)
2/(-2)+0/7-(-8)*(-2)
(1/4-5/6+1/3+2/3)/1/2
18-6/(-3)*(-2)
(5+3/8*8/30/(-2)-3
(-84)/2*(-3)/(-6)
1/2*(-4/15)/2/3
-3x+2y-5x-7y
143727+27563 〔75-(12+18)〕15
2160〔(83-79
7、)18〕 280+840245
32513(266-250) 85(95-144024)
58870(105+202) 143727+27563
81432(1352+78) [37.85-(7.85+6.4)] 30
156[(17.7-7.2)3] (947-599)+7664
36(913-27623) [192-(54+38)]67
[(7.1-5.6)0.9-1.15]2.5 81432(1352+78)
5.4[2.6(3.7-2.9)+0.62] (947-599)+7664 60-(9.5+28.9)]0.18 2.8810.43-0.243.5 20[(2.44
8、-1.8)0.4+0.15] 28-(3.4 1.252.4) 0.8〔15.5-(3.21 5.79)〕 (31.8 3.24)5 194-64.81.80.9 36.724.259.9 3.416(0.01635) 0.8[(10-6.76)1.2]
(136+64)(65-34523) (6.8-6.80.55)8.5
0.12 4.80.124.8 (58+37)(64-95)
812-700(9+3111) (3.21.5+2.5)1.6
85+14(14+20826) 120-36418+35
(284+16)(512-820818) 9.721.6-18.3057
4
9、/7[1/3(3/5-3/10)] (4/5+1/4)7/3+7/10
12.78-0( 13.4+156.6 ) 37.812-700(9+3111) (136+64)(65-34523) 3.2(1.5+2.5)1.6
85+14(14+20826) (58+37)(64-95)
(6.8-6.80.55)8.5 (284+16)(512-820818)
0.12 4.80.124.8 (3.21.5+2.5)1.6
120-36418+35 10.15-10.750.4-5.7
5.8(3.87-0.13)+4.23.74 347+452-416052
32.52-(6+9
10、.7283.2)2.5 87(58+37)(64-95)
[(7.1-5.6)0.9-1.15] 2.5 (3.21.5+2.5)1.6
5.4[2.6(3.7-2.9)+0.62] 126(12-7.2)-6
3.26+(1.5+2.5)1.6 (3.21.5+2.5)1.6
5.8(3.87-0.13)+4.23.74
33.02-(148.4-90.85)2.5
1)23+(-73)
(2)(-84)+(-49)
(3)7+(-2.04)
(4)4.23+(-7.57)
(5)(-7/3)+(-7/6)
(6)9/4+(-3/2)
(7)3.75+(2.25)+5
11、/4
(8)-3.75+(+5/4)+(-1.5)
(9)(-17/4)+(-10/3)+(+13/3)+(11/3)
(10)(-1.8)+(+0.2)+(-1.7)+(0.1)+(+1.8)+(+1.4)
(11)(+1.3)-(+17/7)
(12)(-2)-(+2/3)
(13)|(-7.2)-(-6.3)+(1.1)|
(14)|(-5/4)-(-3/4)|-|1-5/4-|-3/4|)
(15)(-2/199)*(-7/6-3/2+8/3)
(16)4a)*(-3b)*(5c)*1/6
1. 3/7 49/9 - 4/3
2. 8/9 15/36 + 1/
12、27
3. 12 5/6 – 2/9 3
4. 8 5/4 + 1/4
5. 6 3/8 – 3/8 6
6. 4/7 5/9 + 3/7 5/9
7. 5/2 -( 3/2 + 4/5 )
8. 7/8 + ( 1/8 + 1/9 )
9. 9 5/6 + 5/6
10. 3/4 8/9 - 1/3
0.12χ+1.80.9=7.2 (9-5χ)0.3=1.02 6.4χ-χ=28+4.4
11. 7 5/49 + 3/14
12. 6 ( 1/2 + 2/3 )
13. 8 4/5 + 8 11/5
14. 31 5/6 – 5/6
15. 9/
13、7 - ( 2/7 – 10/21 )
16. 5/9 18 – 14 2/7
17. 4/5 25/16 + 2/3 3/4
18. 14 8/7 – 5/6 12/15
19. 17/32 – 3/4 9/24
20. 3 2/9 + 1/3
21. 5/7 3/25 + 3/7
22. 3/14 2/3 + 1/6
23. 1/5 2/3 + 5/6
24. 9/22 + 1/11 1/2
25. 5/3 11/5 + 4/3
26. 45 2/3 + 1/3 15
27. 7/19 + 12/19 5/6
28. 1/4 + 3
14、/4 2/3
29. 8/7 21/16 + 1/2
30. 101 1/5 – 1/5 21
31.50+16040 (58+370)(64-45)
32.120-14418+35
33.347+452-416052
34(58+37)(64-95)
35.95(64-45)
36.178-14556+42 420+580-642128
37.812-700(9+3111) (136+64)(65-34523)
38.85+14(14+20826)
39.(284+16)(512-820818)
40.120-36418+35
41.(58+37)(64-9
15、5)
42.(6.8-6.80.55)8.5
43.0.12 4.80.124.8
44.(3.21.5+2.5)1.6 (2)3.2(1.5+2.5)1.6
45.6-1.64= 5.38+7.85-5.37=
46.7.20.8-1.25= 6-1.193-0.43=
47.6.5(4.8-1.24)= 0.681.9+0.321.9
48.10.15-10.750.4-5.7
49.5.8(3.87-0.13)+4.23.74
50.32.52-(6+9.7283.2)2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(3
53.
16、(-7)*2/(1/3)+79/(3+6/4)
54.123+456+789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]}
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
1.
a^3-2b^3+ab(2a-b)
=a^3+2a^2b-2b^3-ab^2
=a^2(a+2b)-b^2(2b+a)
=(a+2b)(a^2-b^2)
=(a+2b)(a+b)(a-b)
2.
(x^2+y^2)^2-4y(x^2+y^2)+4y^2
=(x^2+y^2-2
17、y)^2
3.
(x^2+2x)^2+3(x^2+2x)+x^2+2x+3
=(x^2+2x)^2+4(x^2+2x)+3
=(x^2+2x+3)(x^2+2x+1)
=(x^2+2x+3)(x+1)^2
4.
(a+1)(a+2)+(2a+1)(a-2)-12
=a^2+3a+2+2a^2-3a-2-12
=3a^2-12
=3(a+2)(a-2)
5.
x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2
=[x(y+z)-y(x-z)]^2
=(xz+yz)^2
=z^2(x+y)^2
6.
3(a+2)^2+28(a+2)-20
=
18、[3(a+2)-2][(a+2)+10]
=(3a+4)(a+12)
7.
(a+b)^2-(b-c)^2+a^2-c^2
=(a+b)^2-c^2+a^2-(b-c)^2
=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)
=(a+b-c)(a+b+c+a-b+c)
=2(a+b-c)(a+c)
8.
x(x+1)(x^2+x-1)-2
=(x^2+x)(x^2+x-1)-2
=(x^2+x)^2-(x^2+x)-2
=(x^2+x-2)(x^2+x+1)
=(x+2)(x-1)(x^2+x+1)
1. 3/7 49/9 - 4/3
2. 8/9
19、15/36 + 1/27
3. 12 5/6 – 2/9 3
4. 8 5/4 + 1/4
5. 6 3/8 – 3/8 6
6. 4/7 5/9 + 3/7 5/9
7. 5/2 -( 3/2 + 4/5 )
8. 7/8 + ( 1/8 + 1/9 )
9. 9 5/6 + 5/6
10. 3/4 8/9 - 1/3
0.12χ+1.80.9=7.2 (9-5χ)0.3=1.02 6.4χ-χ=28+4.4
11. 7 5/49 + 3/14
12. 6 ( 1/2 + 2/3 )
13. 8 4/5 + 8 11/5
14. 31 5/6 – 5
20、/6
15. 9/7 - ( 2/7 – 10/21 )
16. 5/9 18 – 14 2/7
17. 4/5 25/16 + 2/3 3/4
18. 14 8/7 – 5/6 12/15
19. 17/32 – 3/4 9/24
20. 3 2/9 + 1/3
21. 5/7 3/25 + 3/7
22. 3/14 2/3 + 1/6
23. 1/5 2/3 + 5/6
24. 9/22 + 1/11 1/2
25. 5/3 11/5 + 4/3
26. 45 2/3 + 1/3 15
27. 7/19 + 12/19 5/6
2
21、8. 1/4 + 3/4 2/3
29. 8/7 21/16 + 1/2
30. 101 1/5 – 1/5 21
31.50+16040 (58+370)(64-45)
32.120-14418+35
33.347+452-416052
34(58+37)(64-95)
35.95(64-45)
36.178-14556+42 420+580-642128
37.812-700(9+3111) (136+64)(65-34523)
38.85+14(14+20826)
39.(284+16)(512-820818)
40.120-36418+35
41.(5
22、8+37)(64-95)
42.(6.8-6.80.55)8.5
43.0.12 4.80.124.8
44.(3.21.5+2.5)1.6 (2)3.2(1.5+2.5)1.6
45.6-1.64= 5.38+7.85-5.37=
46.7.20.8-1.25= 6-1.193-0.43=
47.6.5(4.8-1.24)= 0.681.9+0.321.9
48.10.15-10.750.4-5.7
49.5.8(3.87-0.13)+4.23.74
50.32.52-(6+9.7283.2)2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-
23、57/(3
53.(-7)*2/(1/3)+79/(3+6/4)
54.123+456+789+98/(-4)
55.369/33-(-54-31/15.5)
56.39+{3x[42/2x(3x8)]}
57.9x8x7/5x(4+6)
58.11x22/(4+12/2)
59.94+(-60)/10
1.
a^3-2b^3+ab(2a-b)
=a^3+2a^2b-2b^3-ab^2
=a^2(a+2b)-b^2(2b+a)
=(a+2b)(a^2-b^2)
=(a+2b)(a+b)(a-b)
2.
(x^2+y^2)^2-4y(x^2+y^2)+4y^2
=
24、(x^2+y^2-2y)^2
3.
(x^2+2x)^2+3(x^2+2x)+x^2+2x+3
=(x^2+2x)^2+4(x^2+2x)+3
=(x^2+2x+3)(x^2+2x+1)
=(x^2+2x+3)(x+1)^2
4.
(a+1)(a+2)+(2a+1)(a-2)-12
=a^2+3a+2+2a^2-3a-2-12
=3a^2-12
=3(a+2)(a-2)
5.
x^2(y+z)^2-2xy(x-z)(y+z)+y^2(x-z)^2
=[x(y+z)-y(x-z)]^2
=(xz+yz)^2
=z^2(x+y)^2
6.
3(a+2)^2+28(a+2)-20
=[3(a+2)-2][(a+2)+10]
=(3a+4)(a+12)
7.
(a+b)^2-(b-c)^2+a^2-c^2
=(a+b)^2-c^2+a^2-(b-c)^2
=(a+b+c)(a+b-c)+(a+b-c)(a-b+c)
=(a+b-c)(a+b+c+a-b+c)
=2(a+b-c)(a+c)
8.
x(x+1)(x^2+x-1)-2
=(x^2+x)(x^2+x-1)-2
=(x^2+x)^2-(x^2+x)-2
=(x^2+x-2)(x^2+x+1)
=(x+2)(x-1)(x^2+x+1)