Giúp mình bài toán:I= (1-1/9)(1-2/9)(1-3/9)...(1-2005/9).
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b) 1-3+5-7+9-11+......+2005-2007
=(1-3)+(5-7)+(9-11)+.....+(2005-2007)
=(-2)+(-2)+(-2)+......+(-2)
=(-2).1004
=(-2008)
c) 1+2+3-4-5-6+7+8+9-10-11-12+...+97+98+99-100-101-102
=(1+2+3-4-5-6)+(7+8+9-10-11-12)+.....+(97+98+99-100-101-102)
=(-9)+(-9)+....+(-9)
=(-9).17
=(-153)
Xin lỗi nha 2 dòng cuối mk làm sai
b)1-3+5-7+9-11+......+2005-2007
=(1-3)+(5-7)+(9-11)+....+(2005-2007)
=(-2)+(-2)+(-2)+....+(-2)
=(-2).502
=(-1004)
Bài 1:1×2×3×4×5×6×7×8×9×10 bằng mấy? Bài 2:5×5×5×5×5×5×5×5×5×5=3628800
Bài 2:9×9×9×9×9×9×9×9×9×9 = 3486784401 (bạn k cho mình nha)
\(\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)
\(=\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{9}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)
\(=\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)\cdot...\cdot0\cdot...\cdot\left(1-\dfrac{2005}{9}\right)=0\)
\(\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)
\(=\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{9}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)
\(=\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...0...\left(1-\dfrac{2005}{9}\right)=0\)
Cách 1:
\(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\)
\(=\dfrac{5}{9}\times\dfrac{4}{9}\)
\(=\dfrac{20}{81}\)
Cách 2:
\(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\)
\(=\dfrac{1}{3}\times\dfrac{4}{9}+\dfrac{2}{9}\times\dfrac{4}{9}\)
\(=\dfrac{4}{27}+\dfrac{8}{81}\)
\(=\dfrac{20}{81}\)
C1: \(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\)x\(\dfrac{4}{9}\)=\(\left(\dfrac{3}{9}+\dfrac{2}{9}\right)\text{x}\dfrac{4}{9}\)=\(\dfrac{5}{9}\text{x}\dfrac{4}{9}=\dfrac{20}{81}\)
C2: \(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\)x\(\dfrac{4}{9}\)=\(\dfrac{1}{3}\text{ x}\dfrac{4}{9}+\dfrac{2}{9}\text{ x}\dfrac{4}{9}\)=\(\dfrac{4}{27}+\dfrac{8}{81}=\dfrac{12}{81}+\dfrac{8}{81}=\dfrac{20}{81}\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)\left(1-\frac{3}{9}\right)...\left(1-\frac{2005}{9}\right)\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...\left(1-\frac{9}{9}\right)...\left(1-\frac{2005}{9}\right)\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...\left(1-1\right)...\left(1-\frac{2005}{9}\right)\)
\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...0...\left(1-\frac{2005}{9}\right)\)
I = 0
=> I = 0