Thực hiện phép tính (tính hợp lí nếu có thể):
a) \(25.\left( {19 - {4^2}} \right) + 25:5\)
\( = 25.\left( {19 - 16} \right) + 5\)
\( = 25.3 + 5\)
\( = 75 + 5\)
\( = 80\).
b) \(11 + \left( { - 13} \right) + 15 + \left( { - 17} \right) + 19 + \left( { - 21} \right)\)
\( = \left[ {11 + \left( { - 13} \right)} \right] + \left[ {15 + \left( { - 17} \right)} \right] + \left[ {19 + \left( { - 21} \right)} \right]\)
\( = \left( { - 2} \right) + \left( { - 2} \right) + \left( { - 2} \right)\)
\( = - 6\).
c) \(\left( { - 16} \right).25.\left( { - 125} \right).\left( { - 12} \right)\)
\( = \left( { - 8} \right).2.25.\left( { - 125} \right).\left( { - 6} \right).2\)
\[ = \left[ {\left( { - 8} \right).\left( { - 125} \right)} \right].\left( {2.25.2} \right).\left( { - 6} \right)\]
\[ = 1000.100.\left( { - 6} \right)\]
\( = - 600\,\,000\).
d) \(53.89 + {6^2}.53 - {53.5^2}\)
\( = 53.\left( {89 + {6^2} - {5^2}} \right)\)
\( = 53.\left( {89 + 36 - 25} \right)\)
\( = 53.100\)
\( = 5\,\,300\).