2011-{5*5^2-[(7^3:7+1]}
2. Tính nhanh: A) 4/5 : 3/7 × 3/7 : 4/5 + 2011. B) 1/2 x 2/3 : 7/9 x 7/9.
a: \(=\dfrac{4}{5}\cdot\dfrac{7}{3}\cdot\dfrac{3}{7}\cdot\dfrac{5}{4}+2011=2011+1=2012\)
b: \(=\dfrac{1}{3}\cdot\dfrac{9}{7}\cdot\dfrac{7}{9}=\dfrac{1}{3}\)
`a)4/5:3/7xx3/7:4/5+2011`
`=4/5xx7/3xx3/7xx5/4+2011`
`=(4/5xx5/4)xx(7/3xx3/7)+2011`
`=1xx1+2011`
`=1+2011`
`=2012`
__
`b)1/2xx2/3:7/9xx7/9`
`=1/2xx2/3xx9/7xx7/9`
`=(1/2xx2/3)xx(9/7xx7/9)`
`=1/3xx1`
`=1/3`
So sanh A va B
A=-1/2011-3/11^2-5/11^3-7/11^4
B=-1/2011-7/11^2-5/11^3-3/11^4
6/5 + 6/35 - 6/125 - 6/2009 - 6/2011
7/5 + 7/35 - 7/125 - 7/2009 - 7/2011
tìm x
3x ( 2x +1 ) = 0
2/3 -1/3 ( x-3/2 ) - 1/2(2x + 1 ) =5
câu đầu tiên là phân số nhé mn
mình sẽ tick cho ai có câu trả lời nhanh nhất
nhưng phải giải chi tiết hộ mình nha
\(3x\left(2x+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x+1=0\\3x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=-1\\x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=0\end{cases}}\)
\(\frac{\frac{6}{5}+\frac{6}{35}-\frac{6}{125}-\frac{6}{2009}-\frac{6}{2011}}{\frac{7}{5}+\frac{7}{35}-\frac{7}{125}-\frac{7}{2009}-\frac{7}{2011}}\)
\(=\frac{6.(\frac{1}{5}+\frac{1}{35}-\frac{1}{125}-\frac{1}{2009}-\frac{1}{2011})}{7.(\frac{1}{5}+\frac{1}{35}-\frac{1}{125}-\frac{1}{2009}-\frac{1}{2011})}\)
\(=\frac{6}{7}\)
Tìm x
\(a,3x(2x+1)=0\)
\(\Rightarrow\hept{\begin{cases}3x=0\\2x+1=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x=0\\x=\frac{-1}{2}\end{cases}}\)
Vậy \(x=0\)hoặc \(x=\frac{-1}{2}\)
\(b.\frac{2}{3}-\frac{1}{3}(x-\frac{3}{2})-\frac{1}{2}(2x+1)=5\)
\(\frac{2}{3}-\frac{1}{3}x+\frac{1}{2}-x-\frac{1}{2}=5\)
\(\frac{2}{3}+\frac{1}{2}-\frac{1}{2}-x(\frac{1}{3}+1)=5\)
\(\frac{4}{3}x=\frac{2}{3}-5\)
\(\frac{4}{3}x=\frac{-13}{3}\)
\(x=\frac{-13}{3}\div\frac{4}{3}\)
\(x=\frac{-13}{4}\)
Chúc ban học tốt
\(\frac{\frac{6}{5}+\frac{6}{35}-\frac{6}{125}-\frac{6}{2009}-\frac{6}{2011}}{\frac{7}{5}+\frac{7}{35}-\frac{7}{125}-\frac{7}{2009}-\frac{7}{2011}}\)
\(=\frac{6.\left(\frac{1}{5}+\frac{1}{35}-\frac{1}{125}-\frac{1}{2009}-\frac{1}{2011}\right)}{7.\left(\frac{1}{5}+\frac{1}{35}-\frac{1}{125}-\frac{1}{2009}-\frac{1}{2011}\right)}=\frac{6}{7}\)
Tìm x
a)bạn tự làm vì nó rất dễ nha
b)\(\frac{2}{3}-\frac{1}{3}.\left(x-\frac{3}{2}\right)-\frac{1}{2}.\left(2x+1\right)=5\)
\(\frac{2}{3}-\frac{1}{3}x-\frac{1}{2}-\frac{1}{2}.2x-\frac{1}{2}=5\)
\(\frac{2}{3}-\frac{1}{3}x-\frac{1}{2}-\frac{2}{2}x-\frac{1}{2}=5\)
\(\frac{2}{3}-\frac{1}{3}x-\frac{1}{2}-x-\frac{1}{2}=5\)
\(\frac{1}{3}x-x=5+\frac{1}{2}+\frac{1}{2}+\frac{2}{3}\)
\(\left(\frac{1}{3}-1\right)x=5+1+\frac{2}{3}\)
\(\frac{-2}{3}x=6+\frac{2}{3}\)
\(\frac{-2}{3}x=\frac{20}{3}\)
\(x=\frac{20}{3}:\left(\frac{-2}{3}\right)\)
\(x=\frac{20}{3}.\left(\frac{3}{-2}\right)\)
x=-10
Vậy x=-10
Chúc bạn học tốt
tính các dãy số sau:
-1-2+3+4-5-6+7+8-.....-2009-2010+2011
-1-2+3-4-5+6+....-2009+2010-2011
Tính:
B = 1*2+2*3+3*4+...+2011*2012
C =1*50+2*49+3*48+...+49*2+50*1
D = 4*7+7*10+10*13+...+205*208
E = (2+4+6+8+..+2014)-(3+5+7+9+...+2011)
So sánh : \(H=\frac{1}{7}+\frac{2}{7^2}+\frac{3}{7^3}+...+\frac{2011}{7^{2011}}\) với \(\frac{1}{5}\)
Thực hiện tính: A = \(\frac{2015+2013+2011+2009+...+7+5+3+1}{2015-2013+2011-2009+.....+7-5+3-1}\)
Thực hiện tính: A = \(\frac{2015+2013+2011+2009+...+7+5+3+1}{2015-2013+2011-2009+.....+7-5+3-1}\)
tính nhanh
a) 1+2-3-4+5+6-7-8+.....-2011-2012
b) 1+2-3-4+5+6-7-8+....+598-599
c)1+3-5-7+9+11-13-13+....-797-799