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1) \(A=\left|-3,75\right|-\frac{31}{2}+\frac{1}{4}\)
\(A=\frac{15}{4}-\frac{31}{2}+\frac{1}{4}\)
\(A=\left(-\frac{47}{4}\right)+\frac{1}{4}\)
\(A=-\frac{23}{2}.\)
2) \(A=\frac{3}{2}-\left(-3\right)-\left(2,5-3\right)-\left[1,5+\left(-2,5\right)\right]\)
\(A=\frac{3}{2}-\left(-3\right)-\left(-\frac{1}{2}\right)-\left(-1\right)\)
\(A=\frac{9}{2}-\left(-\frac{1}{2}\right)-\left(-1\right)\)
\(A=5-\left(-1\right)\)
\(A=6.\)
Chúc bạn học tốt!
1) \(A=\left|-3.75\right|-\frac{31}{2}+\frac{1}{4}\)
\(\Leftrightarrow A=3.75-\frac{62}{4}+\frac{1}{4}\)
\(\Leftrightarrow A=\frac{15}{4}-\frac{62}{4}+\frac{1}{4}\)
\(\Leftrightarrow A=\frac{15-62+1}{4}\)
\(\Leftrightarrow A=-\frac{46}{4}=-\frac{23}{2}\)
Vậy : \(A=-\frac{23}{2}\)
2) \(A=\frac{3}{2}-\left(-3\right)-\left(2,5-3\right)-\left[1,5+\left(-2,5\right)\right]\)
\(\Leftrightarrow A=\frac{3}{2}+3-\left(-0,5\right)-\left(-1\right)\)
\(\Leftrightarrow A=1,5+3+0,5+1\)
\(\Leftrightarrow A=6\)
Vậy : \(A=6\)
\(=\dfrac{\left(\dfrac{35721}{4}\right)\cdot2.5^6}{\left(-\dfrac{15}{4}\right)^5}=\dfrac{3^6\cdot7^2}{4}\cdot\dfrac{5^6}{2^6}:\dfrac{-3^5\cdot5^5}{2^{10}}\)
\(=\dfrac{3^6\cdot7^2\cdot5^6}{2^8}\cdot\dfrac{2^{10}}{-3^5\cdot5^5}=-2^2\cdot3\cdot5\cdot7^2=-2940\)
\(S=2,5+\frac{23}{4}-\left(-3,75+\frac{1}{2}+\frac{13}{2}\right)\)
\(S=\frac{-25}{10}+\frac{23}{4}+3,75+\frac{1}{2}+\frac{13}{2}\)
\(S=\frac{-5}{2}+\frac{23}{4}+\frac{-375}{100}+\frac{1}{2}+\frac{13}{2}\)
\(S=\frac{-5}{2}+\frac{23}{4}+\frac{-15}{4}+\frac{1}{2}+\frac{13}{2}\)
\(S=\frac{-10}{4}+\frac{23}{4}+\frac{-15}{4}+\frac{2}{4}+\frac{26}{4}\)
\(S=\frac{26}{4}=\frac{13}{2}\)
a, | 5 - 3x | + \(\frac{2}{3}=\frac{1}{6}\)
=> | 5 - 3x | = \(\frac{1}{6}-\frac{2}{3}\)
=> | 5 - 3x | = \(-\frac{1}{2}\)( vô lý , vì | 5 - 3x | \(\ge\)0 )
Vậy không có giá trị của x
b, - 2,5 + | 3x + 5 | = - 1,5
=> | 3x + 5 | = - 1,5 + 2,5
=> | 3x + 5 | = 1
=> \(\orbr{\begin{cases}3x+5=1\\3x+5=-1\end{cases}\Rightarrow\orbr{\begin{cases}3x=-4\\3x=-6\end{cases}\Rightarrow}\orbr{\begin{cases}x=-\frac{4}{3}\\x=-2\end{cases}}}\)
Vậy x = -4 / 3 hoặc x = -2
c, \(\frac{11}{5}-\left|\frac{1}{5}-x\right|=\frac{3}{5}\)
=> \(\left|\frac{1}{5}-x\right|=\frac{11}{5}-\frac{3}{5}\)
=> \(\left|\frac{1}{5}-x\right|=\frac{8}{5}\)
=> \(\orbr{\begin{cases}\frac{1}{5}-x=\frac{8}{5}\\\frac{1}{5}-x=-\frac{8}{5}\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{7}{5}\\x=\frac{9}{5}\end{cases}}}\)
Vậy x = - 7 / 5 hoặc x = 6 / 5
d, \(\left|x-\frac{2}{5}\right|+\frac{1}{2}=\frac{3}{4}\)
=> \(\left|x-\frac{2}{5}\right|=\frac{3}{4}-\frac{1}{2}\)
=> \(\left|x-\frac{2}{5}\right|=\frac{1}{4}\)
=> \(\orbr{\begin{cases}x-\frac{2}{5}=\frac{1}{4}\\x-\frac{2}{5}=-\frac{1}{4}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{13}{20}\\x=\frac{3}{20}\end{cases}}}\)
Vậy x = 13 / 20 hoặc x = 3 / 20