tính a = \(2^0+2^12^2+...+2^{2010}\)
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1.
-15 - 12 = -15 + (-12) = -27
0+ (-7)= 0-7 = -7
0-(-5) = 0 + 5 = 5
đap số 1 . - 27
2. -7
3. 5
5/2+13/6+25/12+41/20+61/30+85/42
=2+1/2+2+1/6+2+1/12+2+1/20+2+1/30+2+1/42
=12+(1/2+1/6+1/12+1/20+1/30+1/42)
=12+(1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6.7)
=12+(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7)
=12+1-1/7
=90/7
5/2+13/6+25/12+41/20+61/30+85/42
=2+1/2+2+1/6+2+1/12+2+1/20+2+1/30+2+1/42
=12+(1/2+1/6+1/12+1/20+1/30+1/42)
=12+(1/1.2+1/2.3+1/3.4+1/4.5+1/5.6+1/6.7)
=12+(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7)
=12+1-1/7
=90/7
9/14:6/7 +3/12:2*1/2
=3/4+1/8:2*1/2
=3/4+1/16*1/2
=3/4+1/32
=25/32
\(\frac{9}{14}\): \(\frac{6}{7}\) + \(\frac{3}{12}\): \(2\)x\(\frac{1}{2}\)
= \(\frac{3}{4}\)\(+\)\(\frac{1}{8}\)x\(\frac{1}{2}\)
=\(\frac{3}{4}\)\(+\)\(\frac{1}{16}\)
=\(\frac{9}{16}\)\(+\)\(\frac{1}{16}\)
= \(\frac{10}{16}\)
=\(\frac{5}{8}\)
nhé
\(A=1+2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{98.99}+\frac{1}{99.100}\right)\)
\(A=1+2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(A=1+2\left(\frac{1}{2}-\frac{1}{100}\right)=1+2.\frac{49}{100}=1+\frac{49}{50}\)
\(A=\frac{99}{50}\)
Vậy \(A=\frac{99}{50}\)
(dấu . là dấu nhân )
a, \(\frac{3}{2}\cdot\frac{4}{7}+\frac{3}{7}\cdot\frac{3}{2}\)
= \(\frac{3}{2}\left(\frac{4}{7}+\frac{3}{7}\right)\)
=\(\frac{3}{2}\cdot\frac{7}{7}=\frac{3}{2}\)
b, \(\frac{12}{5}\cdot4-4\cdot\frac{7}{5}\)
=\(4\left(\frac{12}{5}-\frac{7}{5}\right)=4\cdot\frac{5}{5}=4\)
c, \(\frac{5}{11}:\frac{1}{2}+\frac{6}{11}:\frac{1}{2}\)
=\(2\left(\frac{5}{11}+\frac{6}{11}\right)=2\cdot\frac{11}{11}=2\)
a;3/2x(4/7+3/7)
=3/2x1
=3/2
b;12/5x4-4x7/5
=4x(12/5-7/5)
=4x1
=4
c;5/11:1/2+6/11:1/2
=1/2:(5/11+6/11)
=1/2:1
=1/2
C1 : 5/24 x 5/12 x 24
= 5/24 x ( 5/12 x 24 )
= 5/24 x 10
= 50/24
= 25/12
C2 : 5/24 x 5/12 x 24
= ( 5/24 x 24 ) x ( 5/12 )
= 5 x ( 5/12 )
= 25/12
Chúc em học giỏi !!!
Cách 1 : 5/24 x 5/12 x 24 = (5/24 x 24) x 5/12
= 5 x 5/12 = 25/12
Cách 2 : 5/24 x 5/12 x 24 = 5/24 x (5/12 x 24)
= 5/24 x 10 = 25/12
Ta có: A=2009.2011=2009.(2010+1)=2009.2010+2009
B=20102=2010.2010=(2009+1).2010=2009.2010+2010
Vì 2009<2010 => A<B
(Nhớ k cho tui á nha boss)
A = 2009.(2010+1) = 2009.2010+2009 = (2009.2010+2010)-1 = 2010.(2009+1)-1 = 2010^2-1 = B-1 < B
=> A < B
k mk nha
\(\Rightarrow2A=2+2^2+...+2^{1011}\)
\(\Rightarrow2A-A=\left(2+2^2+..+2^{1011}\right)-\left(1+2+...+2^{2010}\right)\)
\(\Rightarrow A=2^{1011}-1\)
Ta có: \(A=2^0+2^1+2^2+...+2^{2010}\)
\(\Rightarrow2A=2^1+2^2+2^3+...+2^{2010}+2^{2011}\)
\(\Rightarrow2A-A=\left(2^1+2^2+2^3+...+2^{2010}+2^{2011}\right)-\left(2^0+2^1+2^2+...+2^{2010}\right)\)
\(\Rightarrow A=2^{2011}-1\)