Question

24点：[把给定的四个数，运用“+.-.X.÷”和乘法方等运算符号和括号，可以打乱顺序，算出的得数都等于24]

《 4 5 7 9 》 《 3 7 8 8 》
《 2 2 8 8 》 《 3 3 7 7 》
《 1 3 5 7 》 《2 3 6 9》

Answer 1

《 4 5 7 9 》
================
4×7+5-9 = 24
(4×7)+5-9 = 24
4×7+(5-9) = 24
(4×7+5)-9 = 24
(4×7)+(5-9) = 24
================
4×7-9+5 = 24
(4×7)-9+5 = 24
(4×7-9)+5 = 24
4×7-(9-5) = 24
(4×7)-(9-5) = 24
================
4×9-(5+7) = 24
(4×9)-(5+7) = 24
4×9-5-7 = 24
(4×9)-5-7 = 24
(4×9-5)-7 = 24
================
4×9-(7+5) = 24
(4×9)-(7+5) = 24
4×9-7-5 = 24
(4×9)-7-5 = 24
(4×9-7)-5 = 24
================
5+4×7-9 = 24
5+(4×7)-9 = 24
(5+4×7)-9 = 24
5+(4×7-9) = 24
================
5+7×4-9 = 24
5+(7×4)-9 = 24
(5+7×4)-9 = 24
5+(7×4-9) = 24
5×(7-4)+9 = 24
================
5-9+4×7 = 24
(5-9)+4×7 = 24
5-9+(4×7) = 24
(5-9)+(4×7) = 24
5-(9-4×7) = 24
================
5-9+7×4 = 24
(5-9)+7×4 = 24
5-9+(7×4) = 24
(5-9)+(7×4) = 24
5-(9-7×4) = 24
================
(7-4)×5+9 = 24
7×4+5-9 = 24
(7×4)+5-9 = 24
7×4+(5-9) = 24
(7×4+5)-9 = 24
(7×4)+(5-9) = 24
================
7×4-9+5 = 24
(7×4)-9+5 = 24
(7×4-9)+5 = 24
7×4-(9-5) = 24
(7×4)-(9-5) = 24
================
7×(9-5)-4 = 24
================
9×4-(5+7) = 24
(9×4)-(5+7) = 24
9×4-5-7 = 24
(9×4)-5-7 = 24
(9×4-5)-7 = 24
================
9-(4-7)×5 = 24
9×4-(7+5) = 24
(9×4)-(7+5) = 24
9×4-7-5 = 24
(9×4)-7-5 = 24
(9×4-7)-5 = 24
================
9-5×(4-7) = 24
================
9+5×(7-4) = 24
(9-5)×7-4 = 24
================
9+(7-4)×5 = 24
================

《 3 7 8 8 》
================
3×(7+8÷8) = 24
================
3×(8-7)×8 = 24
3÷(8-7)×8 = 24
================
3×8×(8-7) = 24
(3×8)×(8-7) = 24
3×(8÷8+7) = 24
3×8÷(8-7) = 24
(3×8)÷(8-7) = 24
================
(7-3)×8-8 = 24
================
(7+8÷8)×3 = 24
================
8×3×(8-7) = 24
(8×3)×(8-7) = 24
8×3÷(8-7) = 24
(8×3)÷(8-7) = 24
================
(8-7)×3×8 = 24
(8-7)×(3×8) = 24
8×(7-3)-8 = 24
================
(8-7)×8×3 = 24
(8-7)×(8×3) = 24
================
8×(8-7)×3 = 24
(8÷8+7)×3 = 24
8÷(8-7)×3 = 24
================
《 2 2 8 8 》
================
(2+2)×8-8 = 24
2×2×8-8 = 24
(2×2)×8-8 = 24
2×(2×8)-8 = 24
(2×2×8)-8 = 24
================
2×8×2-8 = 24
(2×8)×2-8 = 24
2×(8×2)-8 = 24
(2×8×2)-8 = 24
2×(8÷2+8) = 24
================
2×(8+8÷2) = 24
================
(8-2)÷2×8 = 24
(8-2)÷(2÷8) = 24
8×(2+2)-8 = 24
8×2×2-8 = 24
(8×2)×2-8 = 24
8×(2×2)-8 = 24
(8×2×2)-8 = 24
================
(8-2)×8÷2 = 24
(8-2)×(8÷2) = 24
(8÷2+8)×2 = 24
8÷2×(8-2) = 24
(8÷2)×(8-2) = 24
================
(8+8÷2)×2 = 24
8×(8-2)÷2 = 24
================
《 3 3 7 7 》
================
(3+3÷7)×7 = 24
================
(3÷7+3)×7 = 24
================
7×(3+3÷7) = 24
================
7×(3÷7+3) = 24
================

《 1 3 5 7 》
================
(1+5)×(7-3) = 24
================
(3-1)×(5+7) = 24
================
(3-1)×(7+5) = 24
================
(5+1)×(7-3) = 24
================
(5+7)×(3-1) = 24
================
(7-3)×(1+5) = 24
================
(7-3)×(5+1) = 24
================
(7+5)×(3-1) = 24
================

《2 3 6 9》
================
(2+6)÷3×9 = 24
(2+6)÷(3÷9) = 24
(2-6)×(3-9) = 24
2×6+3+9 = 24
(2×6)+3+9 = 24
2×6+(3+9) = 24
(2×6+3)+9 = 24
(2×6)+(3+9) = 24
2×(6-3+9) = 24
================
(2+6)×9÷3 = 24
(2+6)×(9÷3) = 24
2×6+9+3 = 24
(2×6)+9+3 = 24
2×6+(9+3) = 24
(2×6+9)+3 = 24
(2×6)+(9+3) = 24
2×(6+9-3) = 24
================
2×(9-3+6) = 24
================
2×(9+6-3) = 24
================
3+2×6+9 = 24
3+(2×6)+9 = 24
(3+2×6)+9 = 24
3+(2×6+9) = 24
(3-2÷6)×9 = 24
================
3+6×2+9 = 24
3+(6×2)+9 = 24
(3+6×2)+9 = 24
3+(6×2+9) = 24
================
3+9+2×6 = 24
(3+9)+2×6 = 24
3+9+(2×6) = 24
3+(9+2×6) = 24
(3+9)+(2×6) = 24
(3-9)×(2-6) = 24
================
3+9+6×2 = 24
(3+9)+6×2 = 24
3+9+(6×2) = 24
3+(9+6×2) = 24
(3+9)+(6×2) = 24
3×9-6÷2 = 24
(3×9)-6÷2 = 24
3×9-(6÷2) = 24
(3×9)-(6÷2) = 24
================
(6+2)÷3×9 = 24
(6+2)÷(3÷9) = 24
6×2+3+9 = 24
(6×2)+3+9 = 24
6×2+(3+9) = 24
(6×2+3)+9 = 24
(6×2)+(3+9) = 24
================
(6+2)×9÷3 = 24
(6+2)×(9÷3) = 24
(6-2)×(9-3) = 24
6×2+9+3 = 24
(6×2)+9+3 = 24
6×2+(9+3) = 24
(6×2+9)+3 = 24
(6×2)+(9+3) = 24
6÷2×9-3 = 24
(6÷2)×9-3 = 24
(6÷2×9)-3 = 24
6÷(2÷9)-3 = 24
================
(6-3+9)×2 = 24
================
6×(9-2-3) = 24
6×9÷2-3 = 24
(6×9)÷2-3 = 24
6×(9÷2)-3 = 24
(6×9÷2)-3 = 24
================
(6+9-3)×2 = 24
6×(9-3-2) = 24
================
(9-2-3)×6 = 24
================
9+2×6+3 = 24
9+(2×6)+3 = 24
(9+2×6)+3 = 24
9+(2×6+3) = 24
9×(2+6)÷3 = 24
9÷2×6-3 = 24
(9÷2)×6-3 = 24
(9÷2×6)-3 = 24
9÷(2÷6)-3 = 24
================
9+3+2×6 = 24
(9+3)+2×6 = 24
9+3+(2×6) = 24
9+(3+2×6) = 24
(9+3)+(2×6) = 24
(9-3-2)×6 = 24
9×(3-2÷6) = 24
9÷3×(2+6) = 24
(9÷3)×(2+6) = 24
================
9+3+6×2 = 24
(9+3)+6×2 = 24
9+3+(6×2) = 24
9+(3+6×2) = 24
(9+3)+(6×2) = 24
(9-3+6)×2 = 24
(9-3)×(6-2) = 24
9×3-6÷2 = 24
(9×3)-6÷2 = 24
9×3-(6÷2) = 24
(9×3)-(6÷2) = 24
9÷3×(6+2) = 24
(9÷3)×(6+2) = 24
================
9+6×2+3 = 24
9+(6×2)+3 = 24
(9+6×2)+3 = 24
9+(6×2+3) = 24
9×(6+2)÷3 = 24
9×6÷2-3 = 24
(9×6)÷2-3 = 24
9×(6÷2)-3 = 24
(9×6÷2)-3 = 24
================
(9+6-3)×2 = 24
================

Answer 2

4*9-5-7=24

3*8*(8-7)=24

(8-2)*(8/2)=24

（3的3次方-3）*7/7=24

(5+1)*(7-3)=24

6*(9-3-2)=24

Answer 3

4*9-(5+7)=24
3*8÷(8-7)=24
(8-2)*(8÷2)=24
(7+5)*(3-1)=24
(2+6)*(9÷3)=24
7*7^(1/2)*3+3=24

Answer 4

4x7+5-9
(7-3)x8-8
2x2x8-8

(1+5)(7-3)
3x9-6/2