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22 tháng 2 2019

\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)\left(1-\frac{3}{9}\right)...\left(1-\frac{2005}{9}\right)\)

\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...\left(1-\frac{9}{9}\right)...\left(1-\frac{2005}{9}\right)\)

\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...\left(1-1\right)...\left(1-\frac{2005}{9}\right)\)

\(I=\left(1-\frac{1}{9}\right)\left(1-\frac{2}{9}\right)...0...\left(1-\frac{2005}{9}\right)\)

I = 0

=> I = 0

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)

16 tháng 1 2022

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)

16 tháng 1 2022

bài 1; = 3628800

bài 2; = 9765625

bài 3; =3486784401

18 tháng 1 2019

\(\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{9}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{2}{9}\right)\cdot...\cdot0\cdot...\cdot\left(1-\dfrac{2005}{9}\right)=0\)

18 tháng 1 2019

\(\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...\left(1-\dfrac{9}{9}\right)...\left(1-\dfrac{2005}{9}\right)\)

\(=\left(1-\dfrac{1}{9}\right).\left(1-\dfrac{2}{9}\right)...0...\left(1-\dfrac{2005}{9}\right)=0\)

26 tháng 7 2023

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:

\(\left(\dfrac{1}{3}+\dfrac{2}{9}\right)\times\dfrac{4}{9}\)

\(=\dfrac{1}{3}\times\dfrac{4}{9}+\dfrac{2}{9}\times\dfrac{4}{9}\)

\(=\dfrac{4}{27}+\dfrac{8}{81}\)

\(=\dfrac{20}{81}\)

 

26 tháng 7 2023

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\(\dfrac{4}{9}\)=\(\dfrac{1}{3}\text{ x}\dfrac{4}{9}+\dfrac{2}{9}\text{ x}\dfrac{4}{9}\)=\(\dfrac{4}{27}+\dfrac{8}{81}=\dfrac{12}{81}+\dfrac{8}{81}=\dfrac{20}{81}\)