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\(a,=\dfrac{1}{3}\times\left(\dfrac{1}{2}+\dfrac{1}{3}\right)=\dfrac{1}{3}\times\dfrac{5}{6}=\dfrac{5}{18}\\ b,=\dfrac{4}{5}\times\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=\dfrac{4}{5}\times\dfrac{1}{6}=\dfrac{2}{15}\\ c,=456\times99-6\times99+456\\ =456\times\left(99+1\right)-594\\ =456\times100-594=45600-594=45006\\ d,=101\times\left(101-1\right)=101\times100=10100\)
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\(\left(1-\frac{1}{99}\right)\left(1-\frac{1}{100}\right).....\left(1-\frac{1}{2005}\right)\)
\(=\frac{98}{99}.\frac{99}{100}.....\frac{2004}{2005}=\frac{98}{2005}\)
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\(\left(1+2+3+4+5+......+2015+2016\right)\cdot\left(9\cdot11-100+1\right)\)
\(=\left(1+2+3+4+5+......+2015+2016\right)\cdot\left(99-100+1\right)\)
\(=\left(1+2+3+4+5+......+2015+2016\right)\cdot\left(-1+1\right)\)
\(=\left(1+2+3+4+5+......+2015+2016\right)\cdot0\)
\(=0\)
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Tta thấy 9x11-100+1=99-100+1
=-1+1=0
Mà số nào nhân với 0 cũng bằng 0 nên đáp án bàng 0 nha bạn
Nhớ ủng hộ mk nha
( 1+2+3+4+5+....+2015+2016) x ( 99-100+1)=( (2016-1):1+1) x 0 = 2016 x 0 = 0
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a) \(30\times1235\times4-8\times235\times15\)
\(=120\times1235-120\times235\)
\(=120\times\left(1235-235\right)\)
\(=120\times1000\)
\(=120000\)
b) \(\left(120\times99+120\right)-185\times101+185\)
\(=120\times\left(99+1\right)-185\cdot\left(101-1\right)\)
\(=120\times100-185\times100\)
\(=12000-18500\)
\(=-6500\)
a) 30 x 1235 x 4 - 8 x 235 x 15
=(30x4) x 1235 - (8x15)x235
= 120 x 1235 - 120 x 235
=120 x (1235-235)
=120 x 1000
=120000
b) ( 120 x 99 +120) - 185 x 101-185
=(120 x 99 + 120) - (185x101+185)
=120x(99+1) - 185x(101+1)
=120 x 100-185x102
=12000-18870
= -(18870-12000)
= -6870
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a)
Ta có : ( 1 + 2 + 3 + ... + 99)
Số số hạng là: ( 99 - 1 ) : 1 + 1 = 100
Tổng là: ( 99 + 1 ) x 100 : 2 = 5000
=> 5000 x ( 13 - 12 - 1 ) x 15
=> 5000 x 10 x 15
=> 50000 x 15
=> 750000
Ko muốn vt nx :))
(1-1/99)x(1-1/100)x(1-1/101)x....x(1-1/2016)
=98/99x99/100x100/101x.....x2015/2016
=98/2016
=7/144
nhớ **** cho mình nha