Thực hiện phép tính: a) 2024 − 100 : 2 2 . b) 176 + ( − 256 ) − 120 . c) Tính hợp lý: ( 2023 ⋅ 2025 − 976 ) : ( 2023 ⋅ 2024 + 1047 ) .
a) \(2024 - 100:{2^2} = 2024 - 100:4\) |
\(\begin{array}{l} = 2024 - 25\\ = 1999\end{array}\) |
b) \(176 + \left( { - 256} \right) - 120 = \left( { - 80} \right) - 120\) |
\( = \left( { - 80} \right) + \left( { - 120} \right) = - 200\) |
c) \(\left( {2023 \cdot 2025 - 976} \right):\left( {2023 \cdot 2024 + 1047} \right)\) \( = \left[ {2023.\left( {2024 + 1} \right) - 976} \right]:\left( {2023.2024 + 1047} \right)\) |
\( = \left( {2023.2024 + 2023 - 976} \right):\left( {2023.2024 + 1047} \right)\) \( = \left[ {2023.2024 + \left( {2023 - 976} \right)} \right]:\left( {2023.2024 + 1047} \right)\) |
\( = \left( {2023.2024 + 1047} \right):\left( {2023.2024 + 1047} \right)\) \( = 1\) |