Câu 1: Tính
5) (-29)\(^2\) - { 1357 + 4 . [ (-8)\(^3\) + ( 18 - 146 ) : ( 7 - 3)]}
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-292 - { 1357 + 4 [( -8)3 + ( 18 - 146 ) : ( 7 -3 )2 ]}
= ( - 841 )- { 1357 + 4 . [ ( -512 ) + ( 18 - 146 ) : 16
= ( - 841 ) - { 1357 + 4 . [ ( -512 ) + ( - 128 ) : 16 ]}
= ( - 841 ) - { 1357 + 4 . [ ( -512 ) + ( - 8 ) }
= ( - 841 ) - { 1357 + 4 . ( - 520 ) }
= ( - 841 ) - { 1357 + ( -2080 ) }
= ( - 841 ) - ( -723 )
= ( - 118 )
mk biết làm rồi các bạn ko biêts làm thì tham khảo dưới đây :
-292 - {1357 + 4 [(-8)2 + (18 - 146) : (7-3)2]}
= -841 - {1357 + 4 [-512 + (18 - 146) : 42]}
= -841 - {1357 + 4 [-512 + (18 - 146) : 16]}
= -841 - {1357 + 4 [-512 + (-128) : 16]}
= -841 - {1357 + 4 [-512 + (-128) : 16]}
= -841 - {1357 + 4 [-512 + (-32)]}
= -841 - {1357 + 4 (-544)}
= -841 - {1357 + (-2176)}
= -841 - (-819)
= -22
\(=-29^2-\left\{1357+4\cdot\left[-512+\left(-128\right):16\right]\right\}\)
\(=-29^2-\left\{1357+4\cdot\left[-512-8\right]\right\}\)
\(=-29^2-1357-4\cdot\left(-520\right)\)
\(=-2198+2080=-118\)
a) \(x=\dfrac{1}{4}+\dfrac{2}{13}\)
\(x=\dfrac{13}{52}+\dfrac{8}{52}\)
⇒ \(x=\dfrac{21}{52}\)
b) \(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)
\(\dfrac{x}{3}=\dfrac{14}{21}+\dfrac{-3}{21}\)
\(\dfrac{x}{3}=\dfrac{11}{21}\)
⇒ \(x=\dfrac{11.3}{21}=\dfrac{33}{21}\)
⇒ \(x=\dfrac{11}{7}\)
c) \(\dfrac{-8}{3}+\dfrac{1}{3}< x< \dfrac{-2}{7}+\dfrac{-5}{7}\)
\(\dfrac{-17}{7}< x< -1\)
⇒ \(-17< x< -7\)
⇒ \(x\in\left\{-16;-15,....;-6\right\}\)
d) \(\dfrac{1}{6}+\dfrac{2}{5}\)
\(=\dfrac{5}{30}+\dfrac{12}{30}\)
\(=\dfrac{17}{30}\)
e) \(\dfrac{3}{5}+\dfrac{-7}{4}\)
\(=\dfrac{12}{20}+\dfrac{-35}{20}\)
\(=\dfrac{-23}{20}\)
f) \(\dfrac{4}{13}+\dfrac{-12}{30}\)
\(=\dfrac{4}{13}+\dfrac{-2}{5}\)
\(=\dfrac{20}{65}+\dfrac{-26}{65}\)
\(=\dfrac{-6}{65}\)
g) \(\dfrac{-3}{29}+\dfrac{16}{58}\)
\(=\dfrac{-6}{58}+\dfrac{16}{58}\)
\(=\dfrac{10}{58}\)
h) \(\dfrac{8}{40}+\dfrac{-36}{45}\)
\(=\dfrac{1}{5}+\dfrac{-4}{5}\)
\(=\dfrac{-3}{5}\)
j) \(\dfrac{-8}{18}+\dfrac{15}{27}\)
\(=\dfrac{-2}{9}+\dfrac{5}{9}\)
\(=\dfrac{3}{9}\)
\(=\dfrac{1}{3}\)
(-29)2 - { 1357 + 4 . [ (-8)3 + ( 18 - 146 ) : ( 7 - 3 ) ] }
= (-841) - { 1357 + 4 . [ (-512) + ( 18 - 146 ) : ( 7 - 3 ) ] }
= (-841) - { 1357 + 4 . [ (-512) + (-128) : 4 ] }
= (-841) - { 1357 + 4 . [ (-512) + (-32) }
= (-841) - { 1357 + 4 . (-544) }
= (-841) - { 1357 + (-2176) }
= (-841) - (-819)
= (-22)
-22