Question

现有4个有理数3，4，-6，10，

把这4个数(每个数且只用一次)进行加减乘除运算，使其结果为24，写出三种不同的运算方法！

Answer 1

1: 3 × (4 + 10 - 6)
2: 3 × ((4 + 10) - 6)
3: 3 × (4 + (10 - 6))
4: 3 × (4 - 6 + 10)
5: 3 × ((4 - 6) + 10)
6: 3 × (4 - (6 - 10))
7: 3 × (10 + 4 - 6)
8: 3 × ((10 + 4) - 6)
9: 3 × (10 + (4 - 6))
10: (3 × (10 - 4)) + 6
11: 3 × (10 - 4) + 6
12: 3 × (10 - 6 + 4)
13: 3 × ((10 - 6) + 4)
14: 3 × (10 - (6 - 4))
15: 3 × 6 - 4 + 10
16: (3 × 6) - 4 + 10
17: (3 × 6 - 4) + 10
18: ((3 × 6) - 4) + 10
19: 3 × 6 -(4 - 10)
20: (3 × 6) - (4 - 10)
21: 3 × 6 + 10 - 4
22: (3 × 6) + 10 - 4
23: (3 × 6 + 10) - 4
24: ((3 × 6) + 10) - 4
25: 3 × 6 +(10 - 4)
26: (3 × 6) + (10 - 4)
27: 4 + 10 ÷ 3 × 6
28: 4 + (10 ÷ 3) × 6
29: 4 + (10 ÷ 3 × 6)
30: 4 + ((10 ÷ 3) × 6)
31: 4 + (10 ÷ (3 ÷ 6))
32: 4 + 10 ÷(3 ÷ 6)
33: (4 + 10 - 6) × 3
34: ((4 + 10) - 6) × 3
35: (4 + (10 - 6)) × 3
36: 4 + 10 × 6 ÷ 3
37: 4 + (10 × 6) ÷ 3
38: 4 + (10 × 6 ÷ 3)
39: 4 + ((10 × 6) ÷ 3)
40: 4 + (10 × (6 ÷ 3))
41: 4 + 10 ×(6 ÷ 3)
42: 4 + 6 ÷ 3 × 10
43: 4 + (6 ÷ 3) × 10
44: 4 + (6 ÷ 3 × 10)
45: 4 + ((6 ÷ 3) × 10)
46: 4 + (6 ÷ (3 ÷ 10))
47: 4 + 6 ÷(3 ÷ 10)
48: 4 + 6 × 10 ÷ 3
49: 4 + (6 × 10) ÷ 3
50: 4 + (6 × 10 ÷ 3)
51: 4 + ((6 × 10) ÷ 3)
52: 4 + (6 × (10 ÷ 3))
53: 4 + 6 ×(10 ÷ 3)
54: (4 - 6 + 10) × 3
55: ((4 - 6) + 10) × 3
56: (4 - (6 - 10)) × 3
57: 10 + 3 × 6 - 4
58: (10 + 3 × 6) - 4
59: (10 + (3 × 6)) - 4
60: 10 + (3 × 6) - 4
61: 10 + (3 × 6 - 4)
62: 10 + ((3 × 6) - 4)
63: 10 ÷ 3 × 6 + 4
64: (10 ÷ 3) × 6 + 4
65: (10 ÷ 3 × 6) + 4
66: ((10 ÷ 3) × 6) + 4
67: (10 ÷ (3 ÷ 6)) + 4
68: 10 ÷ (3 ÷ 6) + 4
69: 10 - 4 + 3 × 6
70: (10 - 4) + 3 × 6
71: 10 - 4 +(3 × 6)
72: (10 - 4) + (3 × 6)
73: 10 - (4 - 3 × 6)
74: 10 - (4 - (3 × 6))
75: (10 - 4) × 3 + 6
76: ((10 - 4) × 3) + 6
77: (10 + 4 - 6) × 3
78: ((10 + 4) - 6) × 3
79: (10 + (4 - 6)) × 3
80: 10 - 4 + 6 × 3
81: (10 - 4) + 6 × 3
82: 10 - 4 +(6 × 3)
83: (10 - 4) + (6 × 3)
84: 10 - (4 - 6 × 3)
85: 10 - (4 - (6 × 3))
86: 10 + 6 × 3 - 4
87: (10 + 6 × 3) - 4
88: (10 + (6 × 3)) - 4
89: 10 + (6 × 3) - 4
90: 10 + (6 × 3 - 4)
91: 10 + ((6 × 3) - 4)
92: 10 × 6 ÷ 3 + 4
93: (10 × 6) ÷ 3 + 4
94: (10 × 6 ÷ 3) + 4
95: ((10 × 6) ÷ 3) + 4
96: (10 × (6 ÷ 3)) + 4
97: 10 × (6 ÷ 3) + 4
98: (10 - 6 + 4) × 3
99: ((10 - 6) + 4) × 3
100: (10 - (6 - 4)) × 3
101: 6 - (3 × (4 - 10))
102: 6 - 3 ×(4 - 10)
103: 6 × 3 - 4 + 10
104: (6 × 3) - 4 + 10
105: (6 × 3 - 4) + 10
106: ((6 × 3) - 4) + 10
107: 6 × 3 -(4 - 10)
108: (6 × 3) - (4 - 10)
109: 6 + (3 × (10 - 4))
110: 6 + 3 ×(10 - 4)
111: 6 × 3 + 10 - 4
112: (6 × 3) + 10 - 4
113: (6 × 3 + 10) - 4
114: ((6 × 3) + 10) - 4
115: 6 × 3 +(10 - 4)
116: (6 × 3) + (10 - 4)
117: 6 ÷ 3 × 10 + 4
118: (6 ÷ 3) × 10 + 4
119: (6 ÷ 3 × 10) + 4
120: ((6 ÷ 3) × 10) + 4
121: (6 ÷ (3 ÷ 10)) + 4
122: 6 ÷ (3 ÷ 10) + 4
123: 6 - (4 - 10) × 3
124: 6 - ((4 - 10) × 3)
125: 6 × 10 ÷ 3 + 4
126: (6 × 10) ÷ 3 + 4
127: (6 × 10 ÷ 3) + 4
128: ((6 × 10) ÷ 3) + 4
129: (6 × (10 ÷ 3)) + 4
130: 6 × (10 ÷ 3) + 4
131: 6 + (10 - 4) × 3
132: 6 + ((10 - 4) × 3)

Answer 2

-6+4=-2 10+（-2）=8 3×8=24
10+（-6）=4 4+4=8 3×8=24
3*(10-4)-(-6)
3*(10+4-6)
4-[(-6)/3*10]
(10-4)-3*(-6）

Answer 3

3*[10-6=4]
3*[10-4]-[-6]
-3*-6+[10-4]