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) \(\left( {2025 - 39} \right) + \left[ {\left( { - 25} \right) + \left( { - 61} \right)} \right]\)
\( = 2025 - 39 + \left( { - 25} \right) + \left( { - 61} \right)\)
\[ = \left[ {2025 + \left( { - 25} \right)} \right] + \left[ { - 39 + \left( { - 61} \right)} \right]\]
\( = 2000 + \left( { - 100} \right)\)
\( = 1900\).
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) \[ - 25.38 + 12.\left( { - 25} \right) - 25.\left( { - 50} \right)\]
\[ = - 25.38 + 12.\left( { - 25} \right) - \left( { - 25} \right).50\]
\[ = \left( { - 25} \right).\left( {38 + 12 - 50} \right)\]
\[ = \left( { - 25} \right).0\]
\( = 0\).