tính nhanh:
1 + ( -2 ) + 3 + ( -4 ) + 5 +......77 + ( -78 ) + 79 + (-80 )
nhanh nha mình cần gấp
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\(a;\frac{2^{78}+2^{79}+2^{80}}{2^{77}+2^{76}+2^{75}}=\frac{2^{78}\left(1+2+2^2\right)}{2^{75}\left(1+2+2^2\right)}=2^3=8\)
b) \(\frac{5^{56}+5^7}{5^{49}+1}=\frac{5^7\left(5^{49}+1\right)}{5^{49}+1}=5^7\)
=>(1/2+1/3+...+1/80)*x>(1+1/79+1+2/78+...+1+78/2+1)
=>\(x\left(\dfrac{1}{2}+\dfrac{1}{3}+...+\dfrac{1}{80}\right)>\dfrac{80}{80}+\dfrac{80}{79}+...+\dfrac{80}{3}+\dfrac{80}{2}\)
=>x>80
a) \(12.53+53.172-53.84=53.\left(12+172-84\right)=53.100=5300\)
b) \(33.77+66.77+77=77.\left(33+66+1\right)=77.100=7700\)
c) \(79.35+79.77+21.83+21.29=79.\left(35+77\right)+21.\left(83+29\right)\)
\(=79.112+21.112=112\left(79+21\right)=112.100=11200\)
\(\left(2^{78}+2^{79}+2^{80}\right):\left(2^{77}+2^{76}+2^{75}\right)\)
\(=2^3\left(2^{75}+2^{76}+2^{77}\right):\left(2^{75}+2^{76}+2^{77}\right)\)
\(=2^3\)
\(=8\)
Bài làm:
\(\left(2^{78}+2^{79}+2^{80}\right)\div\left(2^{77}+2^{76}+2^{75}\right)\)
\(=\frac{2^{78}\left(1+2+2^2\right)}{2^{75}\left(2^2+2+1\right)}\)
\(=2^3=8\)
1. 13.(79 + 22) - (31 + 69 : 23 ) . 15
= 13. 101 - ( 31 + 69 ; 23 ) . 15
= 1313 - (31 + 3 ) .15
= 1313 - 34 . 15
= 1313 - 510
= 803
Chắc z k nha
9: \(=1-\dfrac{1}{99}+1-\dfrac{1}{100}+\dfrac{100}{101}\cdot\dfrac{1-4+3}{12}=2-\dfrac{199}{9900}=\dfrac{19601}{9900}\)
10: \(=\left(\dfrac{78}{79}+\dfrac{79}{80}+\dfrac{80}{81}\right)\cdot\dfrac{6+5+9-20}{30}=0\)
\(1+\left(-2\right)+3+\left(-4\right)+5+...+77+\left(-78\right)+79+\left(-80\right)\)
\(=\left[1+\left(-2\right)\right]+\left[3+\left(-4\right)\right]+\left[5+\left(-6\right)\right]+...+\left[77+\left(-78\right)\right]+\left[79+\left(-80\right)\right]\)
\(=-1+\left(-1\right)+\left(-1\right)+...+\left(-1\right)\)
Từ 1 -> 80 có số số hạng là: (80-1):1+1=80 số hạng
=> Có 80:2=40 số -1
\(=-1\cdot40=-40\)
Đặt: \(A=1+\left(-2\right)+3+\left(-4\right)+...+77+\left(-78\right)+79+\left(-80\right)\)
\(\Rightarrow A=1-2+3-4+...+77-78+79-80\)
\(\Rightarrow A=-1-1-...-1-1\) ( \(40\)cặp)
\(\Rightarrow A=-1\times40=-41\)