完整版初一100道数学计算题及答案.docx

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完整版初一100道数学计算题及答案.docx

完整版初一100道数学计算题及答案

 

1.25×(8+10)

 

=1.25×8+1.25×10

 

9123-(123+8.8)

 

1.24×8.3+8.3×

 

=8.3×(1.24+1.76)

 

=8.3×

 

9999×1001

 

=9999×(1000+1)

 

=9999×1000+9999×1

 

=10008999

 

14.8×6.3-6.3×6.5+8.3×

 

=(14.8-6.5)×6.3+8.3×3.7=8.3×6.3+8.3×3.78.3×(6.3+3.7)

 

=8.3×10

 

=83

 

 

=()

 

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×××16

 

=3.2×42.3×××

 

=42.3×(3.2××1.6)

 

=42.3×(4×0.8×3.75-1.25×4×0.4)

 

=42.3×(4×0.4×2××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×

 

6.5×8+3.5×8-47

 

=52+28-47

 

=80-47

 

(80-9.8)×5分之

 

 

 

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)÷

 

=33.02-57.55÷

 

=33.02-

 

=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+

 

[-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

 

[-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-(

)]×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)]÷

÷

-0.24×3.520×[(2.44-1.8)÷0.4+0.15]

×2.4)0.8×〔

5.79)〕

 

(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)÷

 

0.12×4.8÷0.12×4.8(58+37)÷(64-9×5)

 

812-700÷(9+31×11)(×)÷

 

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+

)37.812-700÷(9+31×11)(136+64

)×(65-345

÷23)

3.2×(1.5+2.5)÷

 

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)÷

 

120-36×4÷

×

×(

)+4.2×3.74347+45×2-4160÷52

32.52-(

÷

)×2.587(58+37)÷(64-9×5)

[(7.1-5.6)×0.9-1.15]

÷

(3.2×1.5+2.5)÷

÷[2.6×(3.7-2.9)+0.62]12

×6÷(12-7.2)-6

×6+(

)÷1.6(3.2×1.5+2.5)÷

×(

)+4.2×

 

33.02-(148.4-90.85)÷

 

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)×χ-χ

 

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)

÷18+35

33.347+45

×2-4160÷52

34(58+37

)÷(64-9×5)

35.95÷(64-45

÷5

×6+42420+580-64×21÷28

÷(9+31

×11)(136+64

)×(65-345

÷23)

38.85+14×(14+208

÷26)

 

39.(284+16)×(512-8208÷18)

 

×4÷18+35

 

41.(58+37)÷(64-9×5)

 

×0.55)÷

 

43.0.12×4.8÷0.12×

 

44.(3.2×1.5+2.5)÷1.6

(2)3.2×(1.5+2.5)÷

 

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×

 

48.10.15-10.75×

 

49.5.8×(3.87-0.13)+4.2×

 

50.32.52-(6+9.728÷3.2)×

 

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)×χ-χ

 

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)

 

÷18+35

 

33.347+45×2-4160÷52

 

34(58+37)÷(64-9×5)

 

35.95÷(64-45)

 

÷5×6+42420+580-64×21÷28

÷(9+31×11)(136+64)×(65-345

÷23)

 

38.85+14×(14+208÷26)

 

39.(284+16)×(512-8208÷18)

 

×4÷18+35

 

41.(58+37)÷(64-9×5)

 

×0.55)÷

 

43.0.12×4.8÷0.12×

 

44.(3.2×1.5+2.5)÷1.6

(2)3.2×(1.5+2.5)÷

 

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×

 

48.10.15-10.75×

 

49.5.8×(3.87-0.13)+4.2×

 

50.32.52-(6+9.728÷3.2)×

 

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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