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\(M=512-\frac{512}{2}-\frac{512}{2^2}-\frac{512}{2^3}-...-\frac{512}{2^{10}}\)
\(M=512-\frac{512}{2}-\frac{512}{4}-\frac{512}{8}-...-\frac{512}{1024}\)
\(M=\frac{1024}{2}-\frac{512}{2}-\frac{256}{2}-\frac{128}{2}-...-\frac{1}{2}\)
\(M=\frac{1024}{2}-\left(\frac{512}{2}+\frac{256}{2}+\frac{128}{2}+\frac{64}{2}+...+\frac{1}{2}\right)\)
\(M=\frac{1024}{2}-\frac{1023}{2}\)
\(M=\frac{1}{2}\)
\(M=0,5\)
\(M=512-\frac{512}{2^2}-....-\frac{512}{2^{10}}\)
\(=2^9-\frac{2^9}{2}-.....-\frac{2^9}{10}\)
\(=2^9-2^8-....-\frac{1}{2}\)
\(2M=2^{10}-2^9-....-1\)
\(M=\left(2^{10}-...-1\right)-2^9+2^8+....+1+\frac{1}{2}\)
\(M=2^{10}-2.2^9+\frac{1}{2}\)
\(M=\frac{1}{2}\)
=512. (2-128) +512.128
= 512. (2-128+128)
=512.2
=1024
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a) \(\left(-25\right).8.\left(-4\right).\left(-125\right).3\)
\(=\text{ }\left[\left(-25\right).\left(-4\right)\right].\text{ }\left[8.\left(-125\right)\right].3\)
\(=100.\left(-1000\right).3\)
\(=-100000.3\)
\(=-300000\)
b) \(27.\left(-17\right)+17.\left(-73\right)\)
\(=\left(-27\right).17+17.\left(-73\right)\)
\(=17\left[\left(-27\right).\left(-73\right)\right]\)
\(=17.\left(-100\right)\)
\(=-1700\)
c) \(512\left(2-128\right)-128\left(-512\right)\)
\(=512.2-512.128-128\left(-512\right)\)
\(=512.2-128\left[512+\left(-512\right)\right]\)
\(=1024-128.0\)
\(=1024-0\)
\(=1024\)
a, (-25).8.(-4).(-125).3
= (-25).(-8).(-4).(-125).(-3)
= {(-25).(-4)}.{(-8).(-125)}.(-3)
= 100.1000.(-3)
= 100000.(-3)
= -300000
b, 27.(-17)+17.(-73)
= 27.17+17.73
= 27.(17+73)
=27.90
=2430
c, 512.(2-128)-128.(-512)
= 512.(-2) - 512.128 - (-128).512
= { 512.{(-2)-128-(-128)}
= 512.{(-2).256}
=512.(-512)
= -262144
a. 24 x (-125 + 225)
= 24 x 100
=2400
b. -125 x ( 24 -36 )
= -125 x -12
= 1500
c. 512 x (2 -128+128)
= 512 x 2
= 1024
d. \([4.25].\left[\left(-2\right).\left(-5\right)\right].\left[125.\left(-8\right)\right]\)
= 100.10.(-1000)
= -1000000
a. 24 x (-125 + 225)
= 24 x 100
=2400
b. -125 x ( 24 -36 )
= -125 x -12
= 1500
c. 512 x (2 -128+128)
= 512 x 2
= 1024
d.
= 100.10.(-1000)
= -1000000
512 x ( 2 - 128 ) - 128 x ( -512 )
= 512 x ( -126 ) - ( -128 ) x 512
= 512 x [ ( -126 ) - ( -128 ) ]
= 512 x 2
= 1024
512 × (2 - 128) - 128 × (-512)
= 512 × (-126) - (-128) × 512
= 512 × [(-126) - (-128)]
= 512 × 2
= 1024
1) 125.(-24) + 24.225.
\(=24\left(-125+225\right)=24.100=2400.\)
2) 512.(2 – 128) – 128. (-512).
\(=512\left(2-128+128\right)=512.2=1024.\)