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
I32 ×125 ×25
=4 ×8×125 ×25
= (4×25)×(8×125 )
=100 ×1000
=100000
9048 ÷268
= (2600+2600+2600+1248 )÷26
=2600 ÷26+2600 ÷26+2600 ÷26+1248 ÷269
=100+100+100+48
=348
2881 ÷ 43
= (1290+1591 )÷ 434
=1290 ÷43+1591 ÷43
=30+37
3.2×42.3 ×3.75-12.5 ×0.423 ×16
=3.2 ×42.3 ×3.75-1.25 ×42.3 ×1.6
=42.3 ×(3.2 ×3.75-1.25 ×1.6)
=42.3 ×(4×0.8×3.75-1.25 ×4×0.4)
=42.3 ×(4×0.4×2×3.75-1.25 ×4×0.4)
=42.3 ×(4x0.4x7.5-1.25x4x0.4)
=42.3 ×[4×0.4×(7.5-1.25)]
=42.3 ×[4×0.4×6.25]
=42.3 ×(4×2.5)
=4237
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
(80-9.8) ×5 分之 2-1.32
=70.2X2/5-1.32
=28.08-1.32
=26.76
8×7 分之 4÷[1 ÷(3.2-2.95)]
=8 ×4/7 ÷[1 ÷0.25]
=8 ×4/7 ÷4
=8/7
2700 ×(506 -499 )÷900
=2700 ×7÷900
=18900 ÷900
=21
33.02 -( 148.4 -90.85 )÷2.5
=33.02 -57.55 ÷2.5
=33.02 -23.02
=10
(1÷1-1)÷5.1
= (1-1)÷5.1
=0 ÷5.1
=0
18.1 +( 3-0.299 ÷0.23 )×1
=18.1 +1.7×1
=18.1 +1.7
=19.8
[-18]+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+1.6-4-3/4)
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
1437 ×27 +27 ×563 〔75- (12+18 )〕÷15
2160 ÷〔 (83-79 )×18 〕 280 +840 ÷24 ×5
325 ÷13×(266 -250) 85 ×(95 -1440 ÷24)
58870 ÷(105 +20 ×2) 1437 ×27 +27 ×563
81432 ÷(13 ×52+78) [37.85- (7.85+6.4 )] ×30
156 ×[(17.7-7.2) ÷3] (947 -599 )+ 76×64
36 ×(913 -276 ÷23) [192 -( 54+38)]×67
[(7.1-5.6 )×0.9-1.15] ÷2.5 81432 ÷(13 ×52 +78)
5.4÷[2.6 ×(3.7-2.9 )+0.62] (947 -599 )+76×64 60 -(9.5 +28.9)] ÷0.18 2.881 ÷0.43
-0.24 ×3.5 20×[(2.44 -1.8) ÷0.4+0.15] 28-(3.4 1.25 ×2.4) 0.8×〔15.5-(3.21 5.79) 〕
(31.8 3.2 ×4)÷5 194 -64.8 ÷1.8 ×0.9 36.72 ÷4.25 ×9.9 3.416 ÷(0.016 ×35) 0.8×[(10
-6.76) ÷1.2]
(136+64 )×(65-345 ÷23 ) (6.8-6.8 ×0.55) ÷8.5
0.12 × 4.8÷0.12 ×4.8 (58+37 )÷(64-9 ×5)
812-700 ÷(9+31 ×11 ) (3.2×1.5+2.5 )÷1.6
85+14 ×(14+208 ÷26 ) 120-36 ×4÷18+35
(284+16 )×(512-8208 ÷18) 9.72 ×1.6-18.305 ÷7
4/7 ÷[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+31 ×11) (136+64 )×(65-345 ÷23 )
3.2×(1.5+2.5 )÷1.6
85+14 ×(14+208 ÷26 ) (58+37 )÷(64-9 ×5)
(6.8-6.8 ×0.55) ÷8.5 (284+16 )×(512-8208 ÷18 )
0.12 × 4.8÷0.12 ×4.8 (3.2×1.5+2.5 )÷1.6
120-36 ×4÷18+35 10.15-10.75 ×0.4-5.7
5.8×(3.87-0.13 )+4.2 ×3.74 347+45 ×2-4160 ÷52
32.52- (6+9.728 ÷3.2 )×2.5 87 (58+37 )÷(64-9 ×5)
[(7.1-5.6 )×0.9-1.15] ÷2.5 (3.2×1.5+2.5 )÷1.6
5.4÷[2.6 ×(3.7-2.9 )+0.62] 12 ×6÷(12-7.2 )-6
3.2×6+ (1.5+2.5 )÷1.6 (3.2×1.5+2.5 )÷1.6
5.8×(3.87-0.13 )+4.2 ×3.74
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)+5/4
(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 + 1/27
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
0.12 χ+1.8×0.9=7.2 (9 -5χ )×0.3=1.02 6.4 χ -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. 9/7 - ( 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 + 3/4 ÷ 2/3
29. 8/7 × 21/16 + 1/2
30. 101 × 1/5 –1/5 × 21
31.50 +160 ÷40 (58+370 )÷(64-45 )
32.120-144 ÷18+35
33.347+45 ×2-4160 ÷52
34 (58+37 )÷(64-9 ×5)
35.95 ÷(64-45 )
36.178-145 ÷5×6+42 420+580-64 ×21÷28
37.812-700 ÷(9+31 ×11 ) (136+64 )×(65-345 ÷23 )
38.85+14 ×(14+208 ÷26)
39.(284+16 )×(512-8208 ÷18 )
40.120-36 ×4÷18+35
41.(58+37 )÷(64-9 ×5)
42.(6.8-6.8 ×0.55) ÷8.5
43.0.12 × 4.8÷0.12 ×4.8
44.(3.2×1.5+2.5 )÷1.6 (2)3.2×(1.5+2.5 )÷1.6
45.6-1.6 ÷4= 5.38+7.85-5.37=
46.7.2 ÷0.8-1.2 ×5= 6-1.19 ×3-0.43=
47.6.5 ×(4.8-1.2 ×4)= 0.68 ×1.9+0.32 ×1.9
48.10.15-10.75 ×0.4-5.7
49.5.8 ×(3.87-0.13 )+4.2 ×3.74
50.32.52- (6+9.728 ÷3.2)×2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(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
=(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)
1. 3/7 × 49/9 - 4/3
2. 8/9 × 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
0.12 χ+1.8×0.9=7.2 (9 -5χ )×0.3=1.02 6.4 χ -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. 9/7 - ( 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 + 3/4 ÷ 2/3
29. 8/7 × 21/16 + 1/2
30. 101 × 1/5 –1/5 × 21
31.50 +160 ÷40 (58+370 )÷(64-45 )
32.120-144 ÷18+35
33.347+45 ×2-4160 ÷52
34 (58+37 )÷(64-9 ×5)
35.95 ÷(64-45 )
36.178-145 ÷5×6+42 420+580-64 ×21÷28
37.812-700 ÷(9+31 ×11 ) (136+64 )×(65-345 ÷23 )
38.85+14 ×(14+208 ÷26)
39.(284+16 )×(512-8208 ÷18 )
40.120-36 ×4÷18+35
41.(58+37 )÷(64-9 ×5)
42.(6.8-6.8 ×0.55) ÷8.5
43.0.12 × 4.8÷0.12 ×4.8
44.(3.2×1.5+2.5 )÷1.6 (2)3.2×(1.5+2.5 )÷1.6
45.6-1.6 ÷4= 5.38+7.85-5.37=
46.7.2 ÷0.8-1.2 ×5= 6-1.19 ×3-0.43=
47.6.5 ×(4.8-1.2 ×4)= 0.68 ×1.9+0.32 ×1.9
48.10.15-10.75 ×0.4-5.7
49.5.8 ×(3.87-0.13 )+4.2 ×3.74
50.32.52- (6+9.728 ÷3.2)×2.5
51.-5+58+13+90+78-(-56)+50
52.-7*2-57/(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
=(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)