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五年級數學科

五年級數學科. 7. 乘數分配性質. 4 × 3 = 12. 每行有 4 個. 有 3 行. 共有 12 個. 4 × 2 = 8. 每行有 4 個. 有 2 行. 共有 8 個. 每行有 4 個圖案. 共有 5 行. 共有 20 個圖案. 4 × 5 = 20. =. 4 × 3. 12. +. 20. 4 × 2. 8. 4 × 3 + 4 × 2. 4. × 5.

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五年級數學科

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  1. 五年級數學科 7. 乘數分配性質

  2. 4 × 3 = 12 每行有4 個 有 3行 共有12 個

  3. 4 × 2 = 8 每行有4 個 有2行 共有 8 個

  4. 每行有4 個圖案 共有 5 行 共有 20個圖案 4 × 5 = 20

  5. = 4 × 3 12 + 20 4 × 2 8

  6. 4 × 3 + 4 × 2 4 × 5 3 行 + 2行 = 5 行 每行有4 個 ‖ 4 × ( 3 +2 ) = 20

  7. 12 cm 5 cm 周界 : 12× 2 +5 × 2= 34

  8. 12 cm 5 cm 周界 : 長× 2 + 闊× 2 = ( 長+闊) × 2

  9. 周界 : 12× 2 + 5 × 2 (長) (闊) = ( 長+闊) × 2 = ( 12 + 5 ) × 2

  10. 12 × 8+ 12 × 6 = 12 × ( 8+ 6 ) 35 ×14+ 35 × 26 = 35 × ( 14+ 26 ) 58 × 73+ 58 × 7 = 58 × ( 73+ 7 ) 22 × 5+ 45× 22 = 22 × ( 5+ 45 ) 7× 13+ 13 × 52 = ( 7+ 52 ) × 13

  11. 4 × 5 = 20

  12. 每行有4 個圖案 原本有 5 行 現除去黃色的 2 行 所以現在只有 綠色圖案12 個 4 × 3 = 12

  13. = 4 × 5 20 - 12 4 × 2 8

  14. 4 × 5 - 4 × 2 4 × 3 每行有4 個 5 行 - 2行 = 3 行 ‖ 4 × ( 5 -2 ) = 12

  15. 12 × 8- 12 × 6 = 12 × ( 8- 6 ) 35 ×14- 35 × 12 = 35 × ( 14- 12 ) 58 × 73- 58 × 7 = 58 × ( 73- 7 ) 22 × 45- 15× 22 = 22 × ( 45- 15 ) 75× 13- 13 × 52 = ( 75- 52 )× 13

  16. 練習 (一) : 1. 7 × 15 + 7 × 5 = 7 × ( 15 + 5 ) 2. 22 × 18 + 22 × 12 = 22 × ( 18 + 12 ) 3. 37 × 42 + 42 × 63 = ( 37 + 63 ) × 42 4. 39 × 13 - 39 × 3 = 39 × ( 13 - 3 ) 5. 49 × 23 - 13 × 49 = 49 × ( 23 - 13 )

  17. 練習 (二) : 1. 28 × 15 + 28 × 22 = 28 × ( 15 + 22 ) 2. 35 × 29 + 29 × 15 = ( 35 + 15 ) × 29 3. 42 × 8 + 28 × 8 = ( 42 + 28 ) × 8 4. 33 × 58 - 33 × 12 = 33 × ( 58 - 12 ) 5. 81 × 24 - 14 × 81 = 81 × ( 24 - 14 )

  18. 結論 : A × ( B + C ) = A × B+ A × C 例 : 2 × ( 12 + 5 ) = 2 × 12+ 2 × 5 18 × ( 7- 5 ) = 18 × 7- 18 × 5

  19. 比賽題目 : 1. 31 × 45 + 31 × 15 = 31 × (45 + 15) 2. 21 × 45 + 21 × 15 = 21 × (45 + 15) 3. 87 × 8 + 12 × 87 = 87 × (8 + 12) 4. 83 × 11 + 11 × 42 = (83 + 42) × 11 5. 29 × 18 + 8 × 29 = 29 × (18 + 8)

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