678 nhân (276+49)-678 nhân (149+76)
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a. \(678\times\left(276+49\right)-678\times\left(149+76\right)\)
\(=678\times\left[\left(276+49\right)-\left(149+76\right)\right]\)
\(=678\times\left(276+49-149-76\right)\)
\(=678\times\left(200-100\right)\)
\(=67800\)
b. \(23\times157+15\times46-28\times87\)
\(=3611+690-2436\)
\(=1865\)
c. \(12:\left\{390:\left[500-\left(125+35\times7\right)\right]\right\}\)
\(=12:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=12:\left\{390:\left[500-370\right]\right\}\)
\(=12:\left\{390:130\right\}\)
\(=12:3\)
\(=4\)
Bài 1:
a) \(\left(375-180\right):15\)
\(=195:15\)
\(=13\)
b) \(678\left(276+49\right)-678\left(149+76\right)\)
\(=678.325-678.225\)
\(=678\left(325-225\right)\)
\(=678.100\)
\(=67800\)
Bài 2:
\(12:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\)
\(=12:\left\{390:\left[500-\left(125+245\right)\right]\right\}\)
\(=12:\left\{390:\left[500-370\right]\right\}\)
\(=12:\left\{390:130\right\}\)
\(=12:3\)
\(=4\)
Bài 3:
a) \(2.3^x=54\)
\(\Leftrightarrow3^x=54:2\)
\(\Leftrightarrow3^x=27\)
\(\Leftrightarrow3^x=3^3\)
\(\Leftrightarrow x=3\)
b) \(3^2.3^x=81\)
\(\Leftrightarrow9.3^x=81\)
\(\Leftrightarrow3^x=81:9\)
\(\Leftrightarrow3^x=9\)
\(\Leftrightarrow3^x=3^2=\left(-3\right)^2\)
\(\Leftrightarrow x=2\)
c) \(\left(x-1\right)^3=8\)
\(\Leftrightarrow\left(x-1\right)^3=2^3\)
\(\Leftrightarrow x-1=2\)
\(\Leftrightarrow x=2+1\)
\(\Leftrightarrow x=3\)
Bài 4:
\(A=100+98+96+...+2-97-95-...-1\)
\(\Leftrightarrow A=\left(100+98+96+...+2\right)-\left(97+95+...+1\right)\)
\(\Leftrightarrow A=\left[\left(100+2\right).50:2\right]-\left[\left(97+1\right).49:2\right]\)
\(\Leftrightarrow A=2550-2401\)
\(\Leftrightarrow A=149\)
678 x 678 + 302 x 678 + 678 + 678 : 2
=678 x 678 + 302 x 678 + 678 + 678 x 0,5
=678 x (678+302+1+0,5)
=678 x 981,5
= 665457
678 . ( 276 + 49 ) - 678 . ( 149+76 ) = 678 . 325 - 678 . 225
= 678 . ( 325 - 225 )
= 678 . 100
=67800.