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Thực hiện các phép tính sau:
a. (-9989)-(2008-9989)+(-192)
b. 44.179+202-79.44
c. 3.42:|500-(7.35+125)|
mik ko hiểu cách bạn ghi
a) 187+ [921-(921+887)] ??? ri hã
\(\left(x-257\right)-921=2^5\)
\(x-257=32+921\)
\(\)\(x-257=953\)
\(x=953+257\)
\(x=1210\)
\(\left(x-257\right)-921=2^5\)
\(\Rightarrow x-1178=32\Rightarrow x=32+1178=1210\)
2A=22+23+....+22022)
2A-A=(22+23+...+22022)-(2+22+....+22021)
A=22022-2
Đây nhé!
\(a/(-8978)-\left(2007-8978\right)+\left(-193\right)\)
\(=\left(-8978\right)-\left(-6971\right)+\left(-193\right)\)
\(=\left(-8978\right)+6971+\left(-193\right)\)
\(=-2007+\left(-193\right)\)
\(=-2200\)
\(b/187+\left[923-\left(923+887\right)\right]\)
\(=187+\left[923-1810\right]\)
\(=187+\left(-887\right)\)
\(=-700\)
\(c/39.178+30^2-78.39\)
\(=39.\left(178-78\right)+900\)
\(=39.100+900\)
\(=3900+900\)
\(=4800\)
\(d/3.4^2:\left[500-\left(7.35+125\right)\right]\)
\(=3.16:\left[500-\left(245+125\right)\right]\)
\(=48:\left(500-370\right)\)
\(=48:130\)
\(=\frac{24}{35}\)
a) ta có: A = 3^0 + 3^1 + 3^2 + ...+ 3^100
=> 3A = 3^1 + 3^2 + 3^3 + ...+ 3^101
=> 3A-A = 3^101 - 3^0
2A = 3^101 - 1
\(A=\frac{3^{101}-1}{2}\)
b) D = 1 - 5 + 5^2 - 5^3 + ...+ 5^98 - 5^99
=> 5D = 5 - 5^2 + 5^3 - 5^4+...+ 5^99 - 5^100
=> 5D+D = -5^100 + 1
6D = -5^100 + 1
\(D=\frac{-5^{100}+1}{6}\)
Câu 2:
\(a,\Rightarrow x=-23+15=-8\\ b,\Rightarrow5\left(x+4\right)=85\\ \Rightarrow x+4=17\Rightarrow x=13\\ c,\Rightarrow5^{x+2}=24+1=25=5^2\\ \Rightarrow x+2=2\Rightarrow x=0\\ d,\Rightarrow x+4+x+5⋮9\\ \Rightarrow2x+9⋮9\\ \Rightarrow2x⋮9\Rightarrow x\in\left\{0;9\right\}\left(0< x< 10\right)\)
\(44.179+20^2-79.44\\ =44\left(179-79\right)+400\\ =44.100+400\\ =100\left(44+4\right)=4800\\ 3.4^2:\left[500-\left(7.35+125\right)\right]\\ =3.16:\left[500-370\right]\\ =48:130=\dfrac{24}{65}\\ 187+\left[921-\left(921+887\right)\right]\\ =187+921-921-887\\ =187-887=-700\)
44. 179+ 202 - 79.44 3. 42 : [500- (7.35+125)]
= 44. 179+400 - 79.44 = 3. 16: [500- (245+125)]
= 44. (179-79) +400 = 48: [ 500-370 ]
= 44. 100+400 = 48:130
= 4400+400 = 0, 369...
= 4800
187+ [ 921-( 921+887) = 187+ [921- 1808]
= 187+ (-159)
= 28