初一道数学计算题及标准答案.docx
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初一道数学计算题及标准答案.docx
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初一道数学计算题及标准答案
初一道数学计算题及答案
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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]÷2.581432÷(13×52+78)
5.4÷[2.6×(3.7-2.9)+0.62](947-599)+76×6460-(9.5+28.9)]÷0.182.881÷0.43-0.24×3.520×[(2.44-1.8)÷0.4+0.15]28-(3.41.25×2.4)0.8×〔15.5-(3.215.79)〕(31.83.2×4)÷5194-64.8÷1.8×0.936.72÷4.25×9.93.416÷(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+3510.15-10.75×0.4-5.7
5.8×(3.87-0.13)+4.2×3.74347+45×2-4160÷52
32.52-(6+9.728÷3.2)×2.587(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
0.12χ+1.8×0.9=7.2(9-5χ)×0.3=1.026.4χ-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
15.9/7-(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+42420+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
0.12χ+1.8×0.9=7.2(9-5χ)×0.3=1.026.4χ-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
15.9/7-(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+42420+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)
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