將下列自然數用四則運算符號連成綜合算式,使結果是24(可交換位置,加括號,數用一次)

時間 2021-09-06 15:09:02

1樓:

1: 2 + 3 × 5 + 7

2: (2 + 3 × 5) + 7

3: (2 + (3 × 5)) + 74: 2 + (3 × 5) + 7

5: 2 + (3 × 5 + 7)

6: 2 + ((3 × 5) + 7)7: 2 + 5 × 3 + 7

8: (2 + 5 × 3) + 7

9: (2 + (5 × 3)) + 710: 2 + (5 × 3) + 7

11: 2 + (5 × 3 + 7)

12: 2 + ((5 × 3) + 7)13: 2 + 7 + 3 × 5

14: (2 + 7) + 3 × 5

15: 2 + (7 + 3 × 5)

16: 2 + (7 + (3 × 5))17: 2 + 7 +(3 × 5)

18: (2 + 7) + (3 × 5)19: 2 + 7 + 5 × 3

20: (2 + 7) + 5 × 3

21: 2 + (7 + 5 × 3)

22: 2 + (7 + (5 × 3))23: 2 + 7 +(5 × 3)

24: (2 + 7) + (5 × 3)25: 3 - (2 - 5) × 7

26: 3 - ((2 - 5) × 7)27: 3 + (5 - 2) × 7

28: 3 + ((5 - 2) × 7)29: 3 × 5 + 2 + 7

30: (3 × 5) + 2 + 7

31: (3 × 5 + 2) + 7

32: ((3 × 5) + 2) + 733: 3 × 5 +(2 + 7)

34: (3 × 5) + (2 + 7)35: 3 × 5 + 7 + 2

36: (3 × 5) + 7 + 2

37: (3 × 5 + 7) + 2

38: ((3 × 5) + 7) + 239: 3 × 5 +(7 + 2)

40: (3 × 5) + (7 + 2)41: 3 - (7 × (2 - 5))42: 3 - 7 ×(2 - 5)

43: 3 × 7 - 2 + 5

44: (3 × 7) - 2 + 5

45: (3 × 7 - 2) + 5

46: ((3 × 7) - 2) + 547: 3 × 7 -(2 - 5)

48: (3 × 7) - (2 - 5)49: 3 + (7 × (5 - 2))50: 3 + 7 ×(5 - 2)

51: 3 × 7 + 5 - 2

52: (3 × 7) + 5 - 2

53: (3 × 7 + 5) - 2

54: ((3 × 7) + 5) - 255: 3 × 7 +(5 - 2)

56: (3 × 7) + (5 - 2)57: 5 - 2 + 3 × 7

58: (5 - 2) + 3 × 7

59: 5 - 2 +(3 × 7)

60: (5 - 2) + (3 × 7)61: 5 - (2 - 3 × 7)

62: 5 - (2 - (3 × 7))63: 5 - 2 + 7 × 3

64: (5 - 2) + 7 × 3

65: 5 - 2 +(7 × 3)

66: (5 - 2) + (7 × 3)67: 5 - (2 - 7 × 3)

68: 5 - (2 - (7 × 3))69: (5 - 2) × 7 + 3

70: ((5 - 2) × 7) + 371: 5 × 3 + 2 + 7

72: (5 × 3) + 2 + 7

73: (5 × 3 + 2) + 7

74: ((5 × 3) + 2) + 775: 5 × 3 +(2 + 7)

76: (5 × 3) + (2 + 7)77: 5 + 3 × 7 - 2

78: (5 + 3 × 7) - 2

79: (5 + (3 × 7)) - 280: 5 + (3 × 7) - 2

81: 5 + (3 × 7 - 2)

82: 5 + ((3 × 7) - 2)83: 5 × 3 + 7 + 2

84: (5 × 3) + 7 + 2

85: (5 × 3 + 7) + 2

86: ((5 × 3) + 7) + 287: 5 × 3 +(7 + 2)

88: (5 × 3) + (7 + 2)89: 5 + 7 × 3 - 2

90: (5 + 7 × 3) - 2

91: (5 + (7 × 3)) - 292: 5 + (7 × 3) - 2

93: 5 + (7 × 3 - 2)

94: 5 + ((7 × 3) - 2)95: 7 + 2 + 3 × 5

96: (7 + 2) + 3 × 5

97: 7 + (2 + 3 × 5)

98: 7 + (2 + (3 × 5))99: 7 + 2 +(3 × 5)

100: (7 + 2) + (3 × 5)101: 7 + 2 + 5 × 3

102: (7 + 2) + 5 × 3103: 7 + (2 + 5 × 3)104: 7 + (2 + (5 × 3))105: 7 + 2 +(5 × 3)

106: (7 + 2) + (5 × 3)107: 7 × 3 - 2 + 5

108: (7 × 3) - 2 + 5109: (7 × 3 - 2) + 5110: ((7 × 3) - 2) + 5111: 7 × 3 -(2 - 5)

112: (7 × 3) - (2 - 5)113: 7 + 3 × 5 + 2

114: (7 + 3 × 5) + 2115: (7 + (3 × 5)) + 2116:

7 + (3 × 5) + 2117: 7 + (3 × 5 + 2)118: 7 + ((3 × 5) + 2)119:

7 × 3 + 5 - 2

120: (7 × 3) + 5 - 2121: (7 × 3 + 5) - 2122: ((7 × 3) + 5) - 2123: 7 × 3 +(5 - 2)

124: (7 × 3) + (5 - 2)125: (7 × (5 - 2)) + 3126: 7 × (5 - 2) + 3127: 7 + 5 × 3 + 2

128: (7 + 5 × 3) + 2129: (7 + (5 × 3)) + 2130:

7 + (5 × 3) + 2131: 7 + (5 × 3 + 2)132: 7 + ((5 × 3) + 2)1:

8 + 4 + 5 + 7

2: (8 + 4) + 5 + 7

3: (8 + 4 + 5) + 7

4: ((8 + 4) + 5) + 75: (8 + (4 + 5)) + 76: 8 + (4 + 5) + 7

7: 8 + (4 + 5 + 7)

8: 8 + ((4 + 5) + 7)9: 8 + (4 + (5 + 7))10: 8 + 4 +(5 + 7)

11: (8 + 4) + (5 + 7)12: 8 ÷ 4 ×(5 + 7)

13: (8 ÷ 4) × (5 + 7)14: 8 ÷ (4 ÷ (5 + 7))15: 8 + 4 + 7 + 5

16: (8 + 4) + 7 + 5

17: (8 + 4 + 7) + 5

18: ((8 + 4) + 7) + 519: (8 + (4 + 7)) + 520: 8 + (4 + 7) + 5

21: 8 + (4 + 7 + 5)

22: 8 + ((4 + 7) + 5)23: 8 + (4 + (7 + 5))24: 8 + 4 +(7 + 5)

25: (8 + 4) + (7 + 5)26: (8 + 4) × (7 - 5)27: 8 ÷ 4 ×(7 + 5)

28: (8 ÷ 4) × (7 + 5)29: 8 ÷ (4 ÷ (7 + 5))30: 8 + 5 + 4 + 7

31: (8 + 5) + 4 + 7

32: (8 + 5 + 4) + 7

33: ((8 + 5) + 4) + 734: (8 + (5 + 4)) + 735: 8 + (5 + 4) + 7

36: 8 + (5 + 4 + 7)

37: 8 + ((5 + 4) + 7)38: 8 + (5 + (4 + 7))39: 8 + 5 +(4 + 7)

40: (8 + 5) + (4 + 7)41: 8 + 5 + 7 + 4

42: (8 + 5) + 7 + 4

43: (8 + 5 + 7) + 4

44: ((8 + 5) + 7) + 445: (8 + (5 + 7)) + 446: 8 + (5 + 7) + 4

47: 8 + (5 + 7 + 4)

48: 8 + ((5 + 7) + 4)49: 8 + (5 + (7 + 4))50: 8 + 5 +(7 + 4)

51: (8 + 5) + (7 + 4)52: (8 + 5 - 7) × 4

53: ((8 + 5) - 7) × 454: (8 + (5 - 7)) × 455: (8 × (5 + 7)) ÷ 456: 8 × (5 + 7) ÷ 4

57: 8 × ((5 + 7) ÷ 4)58: 8 + 7 + 4 + 5

59: (8 + 7) + 4 + 5

60: (8 + 7 + 4) + 5

61: ((8 + 7) + 4) + 562: (8 + (7 + 4)) + 563: 8 + (7 + 4) + 5

64: 8 + (7 + 4 + 5)

65: 8 + ((7 + 4) + 5)66: 8 + (7 + (4 + 5))67: 8 + 7 +(4 + 5)

68: (8 + 7) + (4 + 5)69: 8 + 7 + 5 + 4

70: (8 + 7) + 5 + 4

71: (8 + 7 + 5) + 4

72: ((8 + 7) + 5) + 473: (8 + (7 + 5)) + 474: 8 + (7 + 5) + 4

75: 8 + (7 + 5 + 4)

76: 8 + ((7 + 5) + 4)77: 8 + (7 + (5 + 4))78: 8 + 7 +(5 + 4)

79: (8 + 7) + (5 + 4)80: (8 - 7 + 5) × 4

81: ((8 - 7) + 5) × 482: (8 - (7 - 5)) × 483: (8 × (7 + 5)) ÷ 484: 8 × (7 + 5) ÷ 4

85: 8 × ((7 + 5) ÷ 4)86: 4 + 8 + 5 + 7

87: (4 + 8) + 5 + 7

88: (4 + 8 + 5) + 7

89: ((4 + 8) + 5) + 790: (4 + (8 + 5)) + 791: 4 + (8 + 5) + 7

92: 4 + (8 + 5 + 7)

93: 4 + ((8 + 5) + 7)94: 4 + (8 + (5 + 7))95: 4 + 8 +(5 + 7)

96: (4 + 8) + (5 + 7)97: 4 × (8 + 5 - 7)

98: 4 × ((8 + 5) - 7)99: 4 × (8 + (5 - 7))100: 4 + 8 + 7 + 5

101: (4 + 8) + 7 + 5102: (4 + 8 + 7) + 5103:

((4 + 8) + 7) + 5104: (4 + (8 + 7)) + 5105: 4 + (8 + 7) + 5106:

4 + (8 + 7 + 5)107: 4 + ((8 + 7) + 5)108: 4 + (8 + (7 + 5))109:

4 + 8 +(7 + 5)

110: (4 + 8) + (7 + 5)111: (4 + 8) × (7 - 5)112:

4 × (8 - 7 + 5)113: 4 × ((8 - 7) + 5)114: 4 × (8 - (7 - 5))115:

4 + 5 + 8 + 7

116: (4 + 5) + 8 + 7117: (4 + 5 + 8) + 7118:

((4 + 5) + 8) + 7119: (4 + (5 + 8)) + 7120: 4 + (5 + 8) + 7121:

4 + (5 + 8 + 7)122: 4 + ((5 + 8) + 7)123: 4 + (5 + (8 + 7))124:

4 + 5 +(8 + 7)

125: (4 + 5) + (8 + 7)126: 4 × (5 + 8 - 7)127:

4 × ((5 + 8) - 7)128: 4 × (5 + (8 - 7))129: 4 + 5 + 7 + 8

130: (4 + 5) + 7 + 8131: (4 + 5 + 7) + 8132:

((4 + 5) + 7) + 8133: (4 + (5 + 7)) + 8134: 4 + (5 + 7) + 8135:

4 + (5 + 7 + 8)136: 4 + ((5 + 7) + 8)137: 4 + (5 + (7 + 8))138:

4 + 5 +(7 + 8)

139: (4 + 5) + (7 + 8)140: 4 × (5 - 7 + 8)141:

4 × ((5 - 7) + 8)142: 4 × (5 - (7 - 8))143: 4 + 7 + 8 + 5

144: (4 + 7) + 8 + 5145: (4 + 7 + 8) + 5146:

((4 + 7) + 8) + 5147: (4 + (7 + 8)) + 5148: 4 + (7 + 8) + 5149:

4 + (7 + 8 + 5)150: 4 + ((7 + 8) + 5)151: 4 + (7 + (8 + 5))152:

4 + 7 +(8 + 5)

153: (4 + 7) + (8 + 5)154: 4 + 7 + 5 + 8

155: (4 + 7) + 5 + 8156: (4 + 7 + 5) + 8157:

((4 + 7) + 5) + 8158: (4 + (7 + 5)) + 8159: 4 + (7 + 5) + 8160:

4 + (7 + 5 + 8)161: 4 + ((7 + 5) + 8)162: 4 + (7 + (5 + 8))163:

4 + 7 +(5 + 8)

164: (4 + 7) + (5 + 8)165: 5 + 8 + 4 + 7

166: (5 + 8) + 4 + 7167: (5 + 8 + 4) + 7168:

((5 + 8) + 4) + 7169: (5 + (8 + 4)) + 7170: 5 + (8 + 4) + 7171:

5 + (8 + 4 + 7)172: 5 + ((8 + 4) + 7)173: 5 + (8 + (4 + 7))174:

5 + 8 +(4 + 7)

175: (5 + 8) + (4 + 7)176: 5 + 8 + 7 + 4

177: (5 + 8) + 7 + 4178: (5 + 8 + 7) + 4179:

((5 + 8) + 7) + 4180: (5 + (8 + 7)) + 4181: 5 + (8 + 7) + 4182:

5 + (8 + 7 + 4)183: 5 + ((8 + 7) + 4)184: 5 + (8 + (7 + 4))185:

5 + 8 +(7 + 4)

186: (5 + 8) + (7 + 4)187: (5 + 8 - 7) × 4188:

((5 + 8) - 7) × 4189: (5 + (8 - 7)) × 4190: 5 + 4 + 8 + 7

191: (5 + 4) + 8 + 7192: (5 + 4 + 8) + 7193:

((5 + 4) + 8) + 7194: (5 + (4 + 8)) + 7195: 5 + (4 + 8) + 7196:

5 + (4 + 8 + 7)197: 5 + ((4 + 8) + 7)198: 5 + (4 + (8 + 7))199:

5 + 4 +(8 + 7)

200: (5 + 4) + (8 + 7)201: 5 + 4 + 7 + 8

202: (5 + 4) + 7 + 8203: (5 + 4 + 7) + 8204:

((5 + 4) + 7) + 8205: (5 + (4 + 7)) + 8206: 5 + (4 + 7) + 8207:

5 + (4 + 7 + 8)208: 5 + ((4 + 7) + 8)209: 5 + (4 + (7 + 8))210:

5 + 4 +(7 + 8)

211: (5 + 4) + (7 + 8)212: 5 + 7 + 8 + 4

213: (5 + 7) + 8 + 4214: (5 + 7 + 8) + 4215:

((5 + 7) + 8) + 4216: (5 + (7 + 8)) + 4217: 5 + (7 + 8) + 4218:

5 + (7 + 8 + 4)219: 5 + ((7 + 8) + 4)220: 5 + (7 + (8 + 4))221:

5 + 7 +(8 + 4)

222: (5 + 7) + (8 + 4)223: (5 + 7) × 8 ÷ 4224:

((5 + 7) × 8) ÷ 4225: (5 + 7) × (8 ÷ 4)226: (5 - 7 + 8) × 4227:

((5 - 7) + 8) × 4228: (5 - (7 - 8)) × 4229: 5 + 7 + 4 + 8

230: (5 + 7) + 4 + 8231: (5 + 7 + 4) + 8232:

((5 + 7) + 4) + 8233: (5 + (7 + 4)) + 8234: 5 + (7 + 4) + 8235:

5 + (7 + 4 + 8)236: 5 + ((7 + 4) + 8)237: 5 + (7 + (4 + 8))238:

5 + 7 +(4 + 8)

239: (5 + 7) + (4 + 8)240: (5 + 7) ÷ 4 × 8241:

((5 + 7) ÷ 4) × 8242: (5 + 7) ÷ (4 ÷ 8)243: 7 + 8 + 4 + 5

244: (7 + 8) + 4 + 5245: (7 + 8 + 4) + 5246:

((7 + 8) + 4) + 5247: (7 + (8 + 4)) + 5248: 7 + (8 + 4) + 5249:

7 + (8 + 4 + 5)250: 7 + ((8 + 4) + 5)251: 7 + (8 + (4 + 5))252:

7 + 8 +(4 + 5)

253: (7 + 8) + (4 + 5)254: 7 + 8 + 5 + 4

255: (7 + 8) + 5 + 4256: (7 + 8 + 5) + 4257:

((7 + 8) + 5) + 4258: (7 + (8 + 5)) + 4259: 7 + (8 + 5) + 4260:

7 + (8 + 5 + 4)261: 7 + ((8 + 5) + 4)262: 7 + (8 + (5 + 4))263:

7 + 8 +(5 + 4)

264: (7 + 8) + (5 + 4)265: 7 + 4 + 8 + 5

266: (7 + 4) + 8 + 5267: (7 + 4 + 8) + 5268:

((7 + 4) + 8) + 5269: (7 + (4 + 8)) + 5270: 7 + (4 + 8) + 5271:

7 + (4 + 8 + 5)272: 7 + ((4 + 8) + 5)273: 7 + (4 + (8 + 5))274:

7 + 4 +(8 + 5)

275: (7 + 4) + (8 + 5)276: 7 + 4 + 5 + 8

277: (7 + 4) + 5 + 8278: (7 + 4 + 5) + 8279:

((7 + 4) + 5) + 8280: (7 + (4 + 5)) + 8281: 7 + (4 + 5) + 8282:

7 + (4 + 5 + 8)283: 7 + ((4 + 5) + 8)284: 7 + (4 + (5 + 8))285:

7 + 4 +(5 + 8)

286: (7 + 4) + (5 + 8)287: 7 + 5 + 8 + 4

288: (7 + 5) + 8 + 4289: (7 + 5 + 8) + 4290:

((7 + 5) + 8) + 4291: (7 + (5 + 8)) + 4292: 7 + (5 + 8) + 4293:

7 + (5 + 8 + 4)294: 7 + ((5 + 8) + 4)295: 7 + (5 + (8 + 4))296:

7 + 5 +(8 + 4)

297: (7 + 5) + (8 + 4)298: (7 + 5) × 8 ÷ 4299:

((7 + 5) × 8) ÷ 4300: (7 + 5) × (8 ÷ 4)301: (7 - 5) × (8 + 4)302:

7 + 5 + 4 + 8

303: (7 + 5) + 4 + 8304: (7 + 5 + 4) + 8305:

((7 + 5) + 4) + 8306: (7 + (5 + 4)) + 8307: 7 + (5 + 4) + 8308:

7 + (5 + 4 + 8)309: 7 + ((5 + 4) + 8)310: 7 + (5 + (4 + 8))311:

7 + 5 +(4 + 8)

312: (7 + 5) + (4 + 8)313: (7 + 5) ÷ 4 × 8314:

((7 + 5) ÷ 4) × 8315: (7 + 5) ÷ (4 ÷ 8)316: (7 - 5) × (4 + 8)

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用以計量事物的件數或表示事物次序的數。即用數碼 0,1,2,3,4,所表示的數 有爭議 表示物體個數的數叫自然數,自然數由1 0,有爭議 開始,一個接一個,組成一個無窮的集體。 巨集哥 表示物體個數的數叫自然數.如0,1,2,3,4, 自然數用以計量事物的件數或表示事物次序的數。即用數碼0,1,2,...

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