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2 x 1 x 2 x 3 x 3 x 4 x 4 x 5 x 5 x 6 x 9 x 8 x 1 =
= 2 x 2 x 3 x 3 x 4 x 4 x 5 x 5 x 6 x 9 x 8 x 1
= 4 x 3 x 3 x 4 x 4 x 5 x 5 x 6 x 9 x 8 x 1
= 12 x 3 x 4 x 4 x 5 x 5 x 6 x 9 x 8 x 1
= 36 x 4 x 4 x 5 x 5 x 6 x 9 x 8 x 1
= 144 x 4 x 5 x 5 x 6 x 9 x 8 x 1
= 576 x 5 x 5 x 6 x 9 x 8 x 1
= 2 880 x 5 x 6 x 9 x 8 x 1
= 14 400 x 6 x 9 x 8 x 1
= 86 400 x 9 x 8 x 1
= 777 600 x 8 x 1
= 6 220 800 x 1
= 6 220 800
:)
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\(1\frac{1}{3}\times2\frac{1}{4}\times...\times8\frac{1}{10}\)
\(=\frac{4}{3}\times\frac{9}{4}\times...\times\frac{81}{10}\)
\(=\frac{4\times9\times...\times81}{3\times4\times...\times10}\)
\(=\frac{2\times2\times3\times3\times...\times9\times9}{3\times4\times5\times...\times10}\)
\(=\frac{\left(2\times3\times4\times...\times9\right)\times\left(2\times3\times4\times...\times9\right)}{3\times4\times5\times...\times10}\)
\(=\frac{2\times2\times3\times...\times9}{10}\)
\(=2\times3\times4\times6\times...\times9\)
\(=72576\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài giải
\(1\frac{1}{3}\text{ x }2\frac{1}{4}\text{ x }\text{ }3\frac{1}{5}\text{ x }4\frac{1}{6}\text{ x }5\frac{1}{7}\text{ x }6\frac{1}{8}\text{ x }7\frac{1}{9}\text{ x }8\frac{1}{10}\)
\(=\frac{4}{3}\text{ x }\frac{9}{4}\text{ x }\frac{16}{5}\text{ x }\frac{25}{6}\text{ x }\frac{36}{7}\text{ x }\frac{49}{8}\text{ x }\frac{64}{9}\text{ x }\frac{81}{10}\)
\(=\frac{4\text{ x }9\text{ x }16\text{ x }25\text{ x }36\text{ x }49\text{ x }64\text{ x }81}{3\text{ x }4\text{ x }5\text{ x }6\text{ x }7\text{ x }8\text{ x }9}\)
\(=\frac{4\text{ x }3^2\text{ x }4^2\text{ x }5^2\text{ x }6^2\text{ x }7^2\text{ x }8^2\text{ x }9^2}{3\text{ x }4\text{ x }5\text{ x }6\text{ x }7\text{ x }8\text{ x }9}\) ( Nếu bạn chưa học lũy thừa thì bạn không cần viết bước này )
\(=4\text{ x }3\text{ x }4\text{ x }5\text{ x }6\text{ x }7\text{ x }8\text{ x }9\)
\(=725760\)
Bài giải
\(1\frac{1}{3}\text{ x }2\frac{1}{4}\text{ x }\text{ }3\frac{1}{5}\text{ x }4\frac{1}{6}\text{ x }5\frac{1}{7}\text{ x }6\frac{1}{8}\text{ x }7\frac{1}{9}\text{ x }8\frac{1}{10}\)
\(=\frac{4}{3}\text{ x }\frac{9}{4}\text{ x }\frac{16}{5}\text{ x }\frac{25}{6}\text{ x }\frac{36}{7}\text{ x }\frac{49}{8}\text{ x }\frac{64}{9}\text{ x }\frac{81}{10}\)
\(=\frac{4\text{ x }9\text{ x }16\text{ x }25\text{ x }36\text{ x }49\text{ x }64\text{ x }81}{3\text{ x }4\text{ x }5\text{ x }6\text{ x }7\text{ x }8\text{ x }9}\)
\(=\frac{4\text{ x }3^2\text{ x }4^2\text{ x }5^2\text{ x }6^2\text{ x }7^2\text{ x }8^2\text{ x }9^2}{3\text{ x }4\text{ x }5\text{ x }6\text{ x }7\text{ x }8\text{ x }9}\) ( Nếu bạn chưa học lũy thừa thì bạn không cần viết bước này )
\(=4\text{ x }3\text{ x }4\text{ x }5\text{ x }6\text{ x }7\text{ x }8\text{ x }9\)
\(=725760\)
![](https://rs.olm.vn/images/avt/0.png?1311)
B1 Nhân biểu tthức trên với 1/2 được
1/6+1/12/+1/20+....+1/110=1/2×3+1/3×4+.....+1/10×11
=1/2-1/3+1/3-1/4+.....+1/10-1/11=1/2-1/11=9/22
B2
B.1/1×2+1/2×3+.....+1/99×100=1-1/2 +1/2-1/3+....+1/99-1/100=1-1/100=99/100
Phần a sai đề phải llà1/2×4+1/4×6+.....+1/8×10 mới làm đc nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 2 x 7,65 x 5
= ( 2 x 5 ) x 7,65
= 10 x 7,65
= 76,5
b, 25 x 1,9 x 4
= ( 25 x 4 ) x 1,9
= 100 x 1,9
= 190
c , 6,92 x 8 x 125
= 6,92 x ( 125 x8 )
= 6,92 x 1000
= 6920
d, 15,7 x 8 + 15,7 x2
= 15,7 x ( 8 + 2 )
= 15,7 x 10
= 157
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 7: Tính
a) \(4\dfrac{2}{5}\times8\dfrac{3}{4}-2\dfrac{3}{4}\)
\(=\dfrac{22}{5}\times\dfrac{35}{4}-\dfrac{11}{4}\)
\(=\dfrac{77}{2}-\dfrac{11}{4}\)
\(=\dfrac{143}{4}\)
b) \(2\dfrac{2}{3}+1\dfrac{2}{5}-\dfrac{2}{15}\)
\(=\dfrac{8}{3}+\dfrac{7}{5}-\dfrac{2}{15}\)
\(=\dfrac{47}{15}-\dfrac{2}{15}\)
\(=\dfrac{45}{15}=3\)
c) \(3\dfrac{1}{3}-2\dfrac{2}{3}+1\dfrac{5}{6}\)
\(=\dfrac{10}{3}-\dfrac{8}{3}+\dfrac{11}{6}\)
\(=\dfrac{2}{3}+\dfrac{11}{6}\)
\(=\dfrac{15}{6}\)