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初一数学有理数四则混合运算练习题
时间:2024-12-23 16:31:39
答案

 1.判断题

 (1)3-4×(-3.5)=0

 (2)如果a与-2互为倒数,那么a2-2a=1.

 (3)(-4)+(-7)-(-21)=-4-7+21.

 (4)(a-2)2+|b-4|=0,则a=2,b=4.

 2.填空题

 (1)-32×5-(-4)×2=_________.

 (2)(-1)×4-5×(-3 )=________.

 (3)(-3)×2-33=_________.

 (4)-32÷(-3)×2+(-2)×4÷(-24)=_________.

 (5)|(-1)×7-(-2)×3|=__________.

 (6)若|a-3|+|b+ 3|=0,则ba=__________.

 (7)用“>”或“<”号连接下列各组数.

 ①-32____________ (-2)×2;

 ②(-1)×53____________­­­­­­­(-2)×37.

 (一)计算题:

 [-|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

 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=1.02 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. 9/7 - ( 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

 有理数四则混合运算练习题,(附带答案)

 39+[-23]+0+[-16]= 0

 [-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

 (二)化简:(附带答案)

 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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