Thực hiện phép tính (tính hợp lí nếu có thể): a) 7,84 + 1,837 + 5,163 + 0,16 b) (- 8,217) + 5,7 + (- 2,583) - 2,7 c) 4,35 - (2,67 - 1,65) + (3,54 - 6,33)
Hướng dẫn giải
a) \(7,84 + 1,837 + 5,163 + 0,16\) \( = \left( {7,84 + 0,16} \right) + \left( {1,837 + 5,163} \right)\) \( = 8 + 7\)\( = 15.\) c) \[4,35 - \left( {2,67 - 1,65} \right) + \left( {3,54 - 6,33} \right)\] \[ = 4,35 - 2,67 + 1,65 + 3,54 - 6,33\] \[ = \left( {4,35 + 1,65} \right) - \left( {2,67 + 6,33} \right) + 3,54\] \[ = 6 - 9 + 3,54\] \[ = - 3 + 3,54\] \[ = 0,54.\] e) \(2,35:\left( { - 0,01} \right) + 7,6 \cdot \left( { - 1,25} \right)\) \( = \left( { - 235} \right) + \left( { - 9,5} \right)\) \( = - 244,5.\) g) \(14,65 \cdot 75 + 14,65 \cdot 40 + 14,65 \cdot \left( { - 15} \right)\) \( = 14,65 \cdot \left[ {75 + 40 + \left( { - 15} \right)} \right]\) \( = 14,65 \cdot 100\) \( = 1\,\,465.\) | b) \(\left( { - 8,217} \right) + 5,7 + \left( { - 2,583} \right) - 2,7\) \( = \left[ {\left( { - 8,217} \right) + \left( { - 2,583} \right)} \right] + \left( {5,7 - 2,7} \right)\) \( = - 10,8 + 3\)\( = - 7,8.\) d) \[2,63 \cdot 24,45 + 2,63 \cdot 75,55\] \[ = 2,63 \cdot \left( {24,45 + 75,55} \right)\] \[ = 2,63 \cdot 100\] \[ = 263.\] f) \(\left( { - 1,5} \right):\left( { - 0,1} \right) - {0,2^2} + 4,56 \cdot 9 + 9 \cdot 5,44\) \( = 15 - 0,04 + \left( {4,56 \cdot 9 + 9 \cdot 5,44} \right)\) \( = 14,96 + 9 \cdot \left( {4,56 + 5,44} \right)\) \( = 14,96 + 9 \cdot 10\) \( = 14,96 + 90\) \( = 104,96.\) |