部落格

標題:

奧林匹克數學

發問:

1. 202+313+424+535+646+757+868+979=？(計算步驟)2. 2.1+2.91+2.991+2.9991+2.99991=？(計算步驟)3. 3.4×3.7+0.37×94.6+0.037×5042+0.2672+0.2672×370=？(計算步驟)4. 2+2-2×2÷2+2-2×2÷2......÷2+2-2=？(計算步驟) 2007個25. ... 顯示更多 1. 202+313+424+535+646+757+868+979=？(計算步驟) 2. 2.1+2.91+2.991+2.9991+2.99991=？(計算步驟) 3. 3.4×3.7+0.37×94.6+0.037×5042+0.2672+0.2672×370=？(計算步驟) 4. 2+2-2×2÷2+2-2×2÷2......÷2+2-2=？(計算步驟) 2007個2 5. 3×4+33×44+333×444-2×5-22×55-222×555=？(計算步驟) 6. 223×1.5÷1/12+11.25×669÷1.25-1又1/4×446÷5/72=？(計算步驟) 7. (2007-1)+(2006-2)+(2005-3)+...+(1005-1003)=？(計算步驟)

最佳解答:

1. 202+313+424+535+646+757+868+979 個位 = 2+3+4+5+6+7+8+9 = 44 十位 = 0+1+2+3+4+5+6+7 = 28 = 280 佰位 = 2+3+4+5+6+7+8+9 = 44 = 4400 202+313+424+535+646+757+868+979 = 44 + 280 + 4400 = 4724 2. 2.1+2.91+2.991+2.9991+2.99991 =(3-0.9)+(3-0.09)+(3-0.009)+(3-0.0009)+(3-0.00009) = 3x5 - 0.99999 = 15 - 0.99999 = 14.00001 3. 3.4×3.7+0.37×94.6+0.037×5042+0.2672+0.2672×370 = 0.34x37 + 0.946x37 + 5.042x37 + 2.672x37 + 0.2672 = 37 x ( 0.34+0.946+5.042+2.672 ) + 0.2672 = 37 x 9 + 0.2672 = 333.2672 4. 2+2-2×2÷2+2-2×2÷2......÷2+2-2=？(計算步驟)2007個2 2-2×2÷2 = 0 ......... ４個 2 2000個2 = 0 2+2-2×2÷2+2-2×2÷2......÷2+2-2 (2007個2) = 2+2-2×2÷2+2-2 = 2 5. 3×4+33×44+333×444-2×5-22×55-222×555 = 12 + 3x11x4x11 + 3x111x4x111 - 10 - 2x11x5x11 - 2x111x5x111 = 12-10 + (12-10)x121 + (12-10)x12321 = 2 + 242 + 24642 = 24886 6. 223×1.5÷1/12+11.25×669÷1.25-1又1/4×446÷5/72 = ２２３Ｘ3/2Ｘ１２ + ６６９Ｘ１１.２５Ｘ4/5 - ４４６Ｘ5/4Ｘ72/5 = ２２３Ｘ１８ + ２２３Ｘ３Ｘ２.２５Ｘ４ - ２２３Ｘ３６ = 223 x ( 18 + 27 - 36 ) = 223 x 9 = 2007 7. (2007-1)+(2006-2)+(2005-3)+...+(1005-1003) = (2007+2006+2005+...+1005)- (1+2+3+...+1003) = [(2007+1005)/2]x(2007-1005+1)-[(1+1003)/2]x1003 = 1506x1003-502x1003 = 1003 x ( 1506-502 ) = 1003 x 1004 = 1007012

其他解答:

1.首先計算202+868,313+757,424+656,979+535=4724 .2分數計=14.00001 or先計2

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