1. 怎么算加减乘除混合运算
3.7×8.12+81.2×0.53+8.12
=3.7*8.12+8.12*5.3+8.12
=8.12*(3.7+5.3+1)
=81.2
2. 乘除加减的混合运算规则
先乘除,后加减,有括号的先算括号内,再算括号外。同级运算先乘除后加减按从左到右的顺序。
加法法则:互为相反数的两个数相加,和为0;同号相加,取相同的符号,然后把它们的绝对值相加;异号相加,取绝对值较大的符号,然后用较大的绝对值减去较小的绝对值;任何数与0相加,和仍然是该数。
减法法则:减去一个数等于加上这个数的相反数。
乘法法则:同号相乘得正,异号相乘得负,任何数与0相乘,积为0。
除法法则:除以一个不为0的数,等于乘以这个数的倒数。
3. 加减乘除乘方混合运算
(-4)x4+(-9)x2
=(-16)+(-18)
=-34
(-1)³x(-6x½)
=(-1)x(-3)
=3
9¾x(-7)
=10x(-7)-¼x(-7)
=-70-1¾
=68¼
2²x[(-7)x(-3²)]
=4x[(-7)x(-9)]
=4x63
=252
-7²-(-6)²x(-1²)
=-49-36x(-1)
=-49-(-36)
=-13
3+2^2×(-1/5)
原式=3+4×(-1/5)
=3-4/5
=11/5
18-6÷(-2)×(-1/3)
原式=18-(-3)×(-1/3)
=18-1
=17
(-3)^2×[-2/3+(-5/9)]
原式=9×(-11/9)
=-11
8+(-3)^2×(-2)
原式=8+9×(-2)
=8-18
=-10
100÷(-2)^2-(-2)÷(-2/3)
原式=100÷4-3
=25-3
=22
36×(1/2-1/3)^2
原式=36×(1/6)^2
=36×(1/36)
=1
12.7÷(-8/19)×0
原式=0
4×(-3)^2+6
原式=4×9+6
=36+6
=42
(-3/4)×(-8+2/3-1/3)
原式=(-3/4)×(-8+1/3)
=(-3/4)×(-23/3)
=23/4
(-2)^3-13÷(-1/2)
原式=(-8)-(-26)
=18
0-2^3÷(-4)^3-1/8
原式=0-8÷(-64)-1/8
=0+1/8-1/8
=0
(-2)^3×0.5-(-1.6)^2÷(-2)^2
原式=(-8)×(1/2)-(-8/5)^2÷4
=(-4)-(64/25)÷4
=(-4)-16/25
=-116/25
(-3/2)×[(-2/3)^2-2]
原式=(-3/2)×(4/9-2)
=(-3/2)×(-14/9)
=7/3
[(-3)^2-(-5)^2]÷(-2)
原式=(9-25)÷(-2)
=(-16)÷(-2)
=8
16÷(-2)^3-(-1/8)×(-4)
原式=16÷(-8)-1/2
=-2-1/2
=-5/2
4. 乘除加减混合运算是什么?
乘除加减混合运算是:四则运算。
如果只有加和减或者只有乘和除,从左往右计算,例如:2+1-1=2,先算2+1的得数,2+1的得数再减1。
如果一级运算和二级运算,同时有,先算二级运算。如果一级,二级,三级运算(即乘方、开方和对数运算)同时有,先算三级运算再算其他两级。
除法计算:
几个数的和除以一个数,可以先让各个加数分别除以这个数,然后再把各个商相加。例如:(24+32+16)÷4=24÷4+32÷4+16÷4=18。
两个数的差除以一个数,可以从被减数除以这个数所得的商里,减去减数除以这个数所得的商。例如:(65-39)÷13=65÷13-39÷13=2。
5. 加减乘除混合运算
20-8×2÷4 420×(13+57)×90
66×38-987÷21
196÷4+56×12 16×50-36÷4
(73+65)÷(210-164)
(13+47)×(52-18) (1024+4370)÷(24+38)
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
1.125*3+125*5+25*3+25
2.9999*3+101*11*(101-92)
3.(23/4-3/4)*(3*6+2)
4. 3/7 × 49/9 - 4/3
5. 8/9 × 15/36 + 1/27
6. 12× 5/6 – 2/9 ×3
7. 8× 5/4 + 1/4
8. 6÷ 3/8 – 3/8 ÷6
9. 4/7 × 5/9 + 3/7 × 5/9
10. 5/2 -( 3/2 + 4/5 )
11. 7/8 + ( 1/8 + 1/9 )
12. 9 × 5/6 + 5/6
13. 3/4 × 8/9 - 1/3
14. 7 × 5/49 + 3/14
15. 6 ×( 1/2 + 2/3 )
16. 8 × 4/5 + 8 × 11/5
17. 31 × 5/6 – 5/6
18. 9/7 - ( 2/7 – 10/21 )
19. 5/9 × 18 – 14 × 2/7
20. 4/5 × 25/16 + 2/3 × 3/4
21. 14 × 8/7 – 5/6 × 12/15
22. 17/32 – 3/4 × 9/24
23. 3 × 2/9 + 1/3
24. 5/7 × 3/25 + 3/7
25. 3/14 ×× 2/3 + 1/6
26. 1/5 × 2/3 + 5/6
27. 9/22 + 1/11 ÷ 1/2
28. 5/3 × 11/5 + 4/3
29. 45 × 2/3 + 1/3 × 15
30. 7/19 + 12/19 × 5/6
31. 1/4 + 3/4 ÷ 2/3
32. 8/7 × 21/16 + 1/2
33. 101 × 1/5 – 1/5 × 21
34.50+160÷40
35.120-144÷18+35
36.347+45×2-4160÷52
37(58+37)÷(64-9×5)
38.95÷(64-45)
39.178-145÷5×6+42
40.812-700÷(9+31×11)
41.85+14×(14+208÷26)
43.120-36×4÷18+35
44.(58+37)÷(64-9×5)
45.(6.8-6.8×0.55)÷8.5
46.0.12× 4.8÷0.12×4.8
47.(3.2×1.5+2.5)÷1.6
48.6-1.6÷4= 5.38+7.85-5.37=
49.7.2÷0.8-1.2×5= 6-1.19×3-0.43=
50.6.5×(4.8-1.2×4)=
51.5.8×(3.87-0.13)+4.2×3.74
52.32.52-(6+9.728÷3.2)×2.5
53.[(7.1-5.6)×0.9-1.15] ÷2.5
54.5.4÷[2.6×(3.7-2.9)+0.62]
55.12×6÷(12-7.2)-6
56.12×6÷7.2-6
57.0.68×1.9+0.32×1.9
58.58+370)÷(64-45)
59.420+580-64×21÷28
60.136+6×(65-345÷23)
15-10.75×0.4-5.7
62.18.1+(3-0.299÷0.23)×1
63.(6.8-6.8×0.55)÷8.5
64.0.12× 4.8÷0.12×4.8
65.(3.2×1.5+2.5)÷1.6
66.3.2×6+(1.5+2.5)÷1.6
67.0.68×1.9+0.32×1.9
68.10.15-10.75×0.4-5.7
69.5.8×(3.87-0.13)+4.2×3.74
70.32.52-(6+9.728÷3.2)×2.5
71.[(7.1-5.6)×0.9-1.15] ÷2.5
72.5.4÷[2.6×(3.7-2.9)+0.62]
73.12×6÷(12-7.2)-6
74.12×6÷7.2-6
75.33.02-(148.4-90.85)÷2.5
________________________
100ti
6. 加减乘除乘方混合计算
) (-9)-(-13)+(-20)+(-2)(2) 3+13-(-7)/6(3) (-2)-8-14-13(4) (-7)*(-1)/7+8(5) (-11)*4-(-18)/18(6) 4+(-11)-1/(-3)(7) (-17)-6-16/(-18)(8) 5/7+(-1)-(-8)(9) (-1)*(-1)+15+1(10) 3-(-5)*3/(-15)(11) 6*(-14)-(-14)+(-13)(12) (-15)*(-13)-(-17)-(-4)(13) (-20)/13/(-7)+11(14) 8+(-1)/7+(-4)(15) (-13)-(-9)*16*(-12)(16) (-1)+4*19+(-2)(17) (-17)*(-9)-20+(-6)(18) (-5)/12-(-16)*(-15)(19) (-3)-13*(-5)*13(20) 5+(-7)+17-10(21) (-10)-(-16)-13*(-16)(22) (-14)+4-19-12(23) 5*13/14/(-10)(24) 3*1*17/(-10)(25) 6+(-12)+15-(-15)(26) 15/9/13+(-7)(27) 2/(-10)*1-(-8)(28) 11/(-19)+(-14)-5(29) 19-16+18/(-11)(30) (-1)/19+(-5)+1(31) (-5)+19/10*(-5)(32) 11/(-17)*(-13)*12(33) (-8)+(-10)/8*17(34) 7-(-12)/(-1)+(-12)(35) 12+12-19+20(36) (-13)*(-11)*20+(-4)(37) 17/(-2)-2*(-19)(38) 1-12*(-16)+(-9)(39) 13*(-14)-15/20(40) (-15)*(-13)-6/(-9)(41) 15*(-1)/12+7(42) (-13)+(-16)+(-14)-(-6)(43) 14*12*(-20)*(-13)(44) 17-9-20+(-10)(45) 12/(-14)+(-14)+(-2)(46) (-15)-12/(-17)-(-3)(47) 6-3/9/(-8)(48) (-20)*(-15)*10*(-4)(49) 7/(-2)*(-3)/(-14)(50) 13/2*18*(-7)(51) 13*5+6+3(52) (-15)/5/3+(-20)(53) 19*4+17-4(54) (-11)-(-6)*(-4)*(-9)(55) (-16)+16-(-8)*(-13)(56) 16/(-1)/(-10)/(-20)(57) (-1)-(-9)-9/(-19)(58) 13*20*(-13)*4(59) 11*(-6)-3+18(60) (-20)+(-12)+(-1)+(-12)(61) (-19)-3*(-13)*4(62) (-13)/3-5*8(63) (-15)/1+17*(-18)(64) (-13)/3/19/8(65) (-3)/(-13)/20*5(66) 3/12/(-18)-18(67) 5*(-19)/13+(-6)(68) 4+4*(-19)-11(69) (-2)+17-5+(-1)(70) 9+(-3)*19*(-19)(71) (-12)-(-6)+17/2(72) 15*(-5)-(-3)/5(73) (-10)*2/(-1)/4(74) (-8)*16/(-6)+4(75) 2-11+12+10(76) (-3)+(-20)*(-7)*(-9)(77) (-15)+8-17/7(78) (-14)*10+18*2(79) (-7)+2-(-17)*19(80) (-7)/18/1+1(81) 11/(-9)-(-16)/17(82) 15+5*6-(-8)(83) (-13)*(-18)+18/(-6)(84) 11-(-1)/11*(-6)(85) (-4)+(-12)+19/6(86) (-18)/(-1)/(-19)+2(87) 9*(-8)*(-6)/11(88) 20*(-3)*(-5)+1(89) (-18)-2+(-11)/20(90) 15*1+4*17(91) 1-10+(-14)/(-1)(92) 10+(-4)*(-19)+(-12)(93) 15/14/5*7(94) 8+(-13)/3+1(95) (-14)+6+(-2)*(-14)(96) (-5)/(-13)/4+7(97) (-15)/(-2)/(-12)+(-2)(98) (-17)-(-20)-20*(-10)(99) (-7)-10-13/3(100) (-20)+(-18)+11+9[|-98|+76+(-87)]-23[56+(-75)-(7)]-(8+4+3)
-(-89)+|-87|-23+[-75-(7)+76]-(10+39-24)
|-9.8|+(-4.6)-[8.7-(-1.3)]+(-5.4)-(-0.2)
[-(-84)+46]-|-9.1|+(+1.9)
[-(-90)+(-34)]-(+43)+(-57)+10
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)
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
(-5)-(+3)+(-9)-(-7)
(-5)+(+8)-(+2)-(-3)
5-(-3 )-(+7)-2
(-21)+(+16)-(-13)-(+7)+(-6)
2 -(- )+(-0.5)+(+2)-(+ )-2
(-7)-(+5)+(+3)-(-9)
-(+2 )-(-1 )-(+3 )
-14 5 (-3)=-12
-12 (-7) (-5) (-6)
23.33-(+76.76)
(-6-24.3)-(-12+9.1)+(0-2.1)
6+(7-8)
(-78)+25+26+27
(-3)+(-2)+(-1)
39+28+26-125
[2/3-4-1/4+(-0.4)]+1/3+2
22+(-4)+(-2)+4-3
(-2)+7-(-16)-(-3)
(-5)-(+3)+(-9)-(-7)
(-1/4)+(-5/6)-(-1/3)+2/3-1/6
2/3+(-1/2)-(-1/3)+1/4
(-5)+(-8)-(-2)-3
(-21)+(+16)-(-13)-(+7)+(-6)
(-2/3)+(-1/3)+3/4+(-1/4)
(-0.73)+(-0.62)-(+0.75)
(-19)+(-11)-(-33)+27
(-6.4)+(-3.6)-(-12.5)+4.5
(-81)+(-19)-27+33
(-3.2)-(-6.2)+(-5.1)+(-4.9)
(-6.9)+(-3.1)+(+2.7)+(-2.1)+(5.06)+(-5.061) -32又3/4+(+16又1/4) (-4又2/3)+(-1又1/6) (1/12)+(-5/12) (-2又1/4)+2.25 (-12)+(+11)+(-8)+(+39) (-63)+27+(-97)+23 1.125*3+125*5+25*3+25 2.9999*3+101*11*(101-92) 3.(23/4-3/4)*(3*6+2) 4. 3/7 × 49/9 - 4/3 5. 8/9 × 15/36 + 1/27 6. 12× 5/6 – 2/9 ×3 7. 8× 5/4 + 1/4 8. 6÷ 3/8 – 3/8 ÷6 9. 4/7 × 5/9 + 3/7 × 5/9 10. 5/2 -( 3/2 + 4/5 ) 11. 7/8 + ( 1/8 + 1/9 ) 12. 9 × 5/6 + 5/6 13. 3/4 × 8/9 - 1/3 14. 7 × 5/49 + 3/14 15. 6 ×( 1/2 + 2/3 ) 16. 8 × 4/5 + 8 × 11/5 17. 31 × 5/6 – 5/6 18. 9/7 - ( 2/7 – 10/21 ) 19. 5/9 × 18 – 14 × 2/7 20. 4/5 × 25/16 + 2/3 × 3/4 21. 14 × 8/7 – 5/6 × 12/15 22. 17/32 – 3/4 × 9/24 23. 3 × 2/9 + 1/3 24. 5/7 × 3/25 + 3/7 25. 3/14 ×× 2/3 + 1/6 26. 1/5 × 2/3 + 5/6 27. 9/22 + 1/11 ÷ 1/2 28. 5/3 × 11/5 + 4/3 29. 45 × 2/3 + 1/3 × 15 30. 7/19 + 12/19 × 5/6 31. 1/4 + 3/4 ÷ 2/3 32. 8/7 × 21/16 + 1/2 33. 101 × 1/5 – 1/5 × 21 34.50+160÷40 35.120-144÷18+35 [-|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
-1-23.33-(+76.76);
1-2*2*2*2;
(-6-24.3)-(-12+9.1)+(0-2.1);
-1+8-71.125*3+125*5+25*3+25
2.9999*3+101*11*(101-92)
3.(23/4-3/4)*(3*6+2)
4. 3/7 × 49/9 - 4/3
5. 8/9 × 15/36 + 1/27
6. 12× 5/6 – 2/9 ×3
7. 8× 5/4 + 1/4
8. 6÷ 3/8 – 3/8 ÷6
9. 4/7 × 5/9 + 3/7 × 5/9
10. 5/2 -( 3/2 + 4/5 )
11. 7/8 + ( 1/8 + 1/9 )
12. 9 × 5/6 + 5/6
13. 3/4 × 8/9 - 1/3
14. 7 × 5/49 + 3/14
15. 6 ×( 1/2 + 2/3 )
16. 8 × 4/5 + 8 × 11/5
17. 31 × 5/6 – 5/6
18. 9/7 - ( 2/7 – 10/21 )
19. 5/9 × 18 – 14 × 2/7
20. 4/5 × 25/16 + 2/3 × 3/4
21. 14 × 8/7 – 5/6 × 12/15
22. 17/32 – 3/4 × 9/24
23. 3 × 2/9 + 1/3
24. 5/7 × 3/25 + 3/7
25. 3/14 ×× 2/3 + 1/6
26. 1/5 × 2/3 + 5/6
27. 9/22 + 1/11 ÷ 1/2
28. 5/3 × 11/5 + 4/3
29. 45 × 2/3 + 1/3 × 15
30. 7/19 + 12/19 × 5/6
31. 1/4 + 3/4 ÷ 2/3
32. 8/7 × 21/16 + 1/2
33. 101 × 1/5 – 1/5 × 21[|-98|+76+(-87)]-23[56+(-75)-(7)]-(8+4+3)
-(-89)+|-87|-23+[-75-(7)+76]-(10+39-24)
|-9.8|+(-4.6)-[8.7-(-1.3)]+(-5.4)-(-0.2)
[-(-84)+46]-|-9.1|+(+1.9)
[-(-90)+(-34)]-(+43)+(-57)+10
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)
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
(-5)-(+3)+(-9)-(-7)
(-5)+(+8)-(+2)-(-3)
5-(-3 )-(+7)-2
(-21)+(+16)-(-13)-(+7)+(-6)
2 -(- )+(-0.5)+(+2)-(+ )-2
(-7)-(+5)+(+3)-(-9)
-(+2 )-(-1 )-(+3 )
-14 5 (-3)=-12
-12 (-7) (-5) (-6)
23.33-(+76.76)
(-6-24.3)-(-12+9.1)+(0-2.1)
6+(7-8)
(-78)+25+26+27
(-3)+(-2)+(-1)
39+28+26-125
[2/3-4-1/4+(-0.4)]+1/3+2
22+(-4)+(-2)+4-3
(-2)+7-(-16)-(-3)
(-5)-(+3)+(-9)-(-7)
(-1/4)+(-5/6)-(-1/3)+2/3-1/6
2/3+(-1/2)-(-1/3)+1/4
(-5)+(-8)-(-2)-3
(-21)+(+16)-(-13)-(+7)+(-6)
(-2/3)+(-1/3)+3/4+(-1/4)
(-0.73)+(-0.62)-(+0.75)
(-19)+(-11)-(-33)+27
(-6.4)+(-3.6)-(-12.5)+4.5
(-81)+(-19)-27+33
(-3.2)-(-6.2)+(-5.1)+(-4.9)
(-6.9)+(-3.1)+(+2.7)+(-2.1)
7. 加减乘除乘方混合计算。
(-4)x4+(-9)x2
=(-16)+(-18)
=-34
(-1)3x(-6x?)
=(-1)x(-3)
=3
9?x(-7)
=10x(-7)-?x(-7)
=-70-1?
=68?
22x[(-7)x(-32)]
=4x[(-7)x(-9)]
=4x63
=252
-72-(-6)2x(-12)
=-49-36x(-1)
=-49-(-36)
=-13
3+2^2×(-1/5)
原式=3+4×(-1/5)
=3-4/5
=11/5
18-6÷(-2)×(-1/3)
原式=18-(-3)×(-1/3)
=18-1
=17
(-3)^2×[-2/3+(-5/9)]
原式=9×(-11/9)
=-11
8+(-3)^2×(-2)
原式=8+9×(-2)
=8-18
=-10
100÷(-2)^2-(-2)÷(-2/3)
原式=100÷4-3
=25-3
=22
36×(1/2-1/3)^2
原式=36×(1/6)^2
=36×(1/36)
=1
12.7÷(-8/19)×0
原式=0
4×(-3)^2+6
原式=4×9+6
=36+6
=42
(-3/4)×(-8+2/3-1/3)
原式=(-3/4)×(-8+1/3)
=(-3/4)×(-23/3)
=23/4
(-2)^3-13÷(-1/2)
原式=(-8)-(-26)
=18
0-2^3÷(-4)^3-1/8
原式=0-8÷(-64)-1/8
=0+1/8-1/8
=0
(-2)^3×0.5-(-1.6)^2÷(-2)^2
原式=(-8)×(1/2)-(-8/5)^2÷4
=(-4)-(64/25)÷4
=(-4)-16/25
=-116/25
(-3/2)×[(-2/3)^2-2]
原式=(-3/2)×(4/9-2)
=(-3/2)×(-14/9)
=7/3
[(-3)^2-(-5)^2]÷(-2)
原式=(9-25)÷(-2)
=(-16)÷(-2)
=8
16÷(-2)^3-(-1/8)×(-4)
原式=16÷(-8)-1/2
=-2-1/2
=-5/2
8. 乘加乘减的混合运算
1、先乘除,后加减,有括号的先算括号内,再算括号外。同级运算先乘除后加减按从左到右的顺序。
2、加法、减法、乘法、除法,统称为四则混合运算。其中,加法和减法叫做第一级运算:乘法和除法叫做第二级运算。
3、同级运算时,从左到右依次计算。
4、两级运算时,先算乘除,后算加减。有括号时,先算括号里面的,再算括号外面的。
5、有多层括号时,先算小括号里的,再算中括号里面的,再算大括号里面的,最后算括号外面的。要是有乘方,最先算乘方。在混合运算中,先算括号内的数,括号从小到大,如有乘方先算乘方,然后从高级到低级。