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24 tháng 8 2023

a) \(\left(\dfrac{3}{8}-\dfrac{1}{5}-\dfrac{1}{3}\right)+\left(\dfrac{5}{8}-1\dfrac{3}{7}-\dfrac{4}{7}\right)+\dfrac{1}{3}\)

\(=\dfrac{3}{8}-\dfrac{1}{5}-\dfrac{1}{3}+\dfrac{5}{8}-\dfrac{10}{7}-\dfrac{4}{7}+\dfrac{1}{3}\)

\(=\left(\dfrac{3}{8}+\dfrac{5}{8}\right)+\left(\dfrac{-1}{3}+\dfrac{1}{3}\right)+\left(\dfrac{-10}{7}-\dfrac{4}{7}\right)-\dfrac{1}{5}\)

\(=1+0+\left(-2\right)-\dfrac{1}{5}\)

\(=-1-\dfrac{1}{5}\)

\(=\dfrac{-6}{5}\)

b) \(-24.\left(\dfrac{1}{3}-\dfrac{1}{4}\right)^2-1,5\)

\(=-24.\left(\dfrac{1}{12}\right)^2-\dfrac{3}{2}\)

\(=-24.\dfrac{1}{144}-\dfrac{3}{2}\)

\(=\dfrac{-1}{6}-\dfrac{3}{2}=\dfrac{-1}{6}-\dfrac{9}{6}=\dfrac{-10}{6}=\dfrac{-5}{3}\)

c) \(2^2-\left(-\dfrac{5}{7}\right)^0+\left(\dfrac{1}{3}\right)^4.3^6\)

\(=4-1+\dfrac{1}{81}.729\)

\(=4-1+9\)

\(=3+9=12\)

d) \(23\dfrac{1}{3}:\left(\dfrac{-5}{7}\right)+13\dfrac{1}{3}:\dfrac{5}{7}\)

\(=\dfrac{-70}{3}.\dfrac{7}{5}+\dfrac{40}{3}.\dfrac{7}{5}\)

\(=\dfrac{7}{5}\left(\dfrac{-70}{3}-\dfrac{40}{3}\right)\)

\(=\dfrac{7}{5}.\left(-10\right)\)

\(=-14\)

e) \(\dfrac{3}{4}.\dfrac{8}{5}+\dfrac{6}{15}:\dfrac{4}{3}-1\dfrac{2}{5}:1\dfrac{1}{3}\)

\(=\dfrac{3}{4}.\dfrac{8}{5}+\dfrac{6}{15}.\dfrac{3}{4}-\dfrac{7}{5}.\dfrac{3}{4}\)

\(=\dfrac{3}{4}\left(\dfrac{8}{5}+\dfrac{6}{15}-\dfrac{7}{5}\right)\)

\(=\dfrac{3}{4}\left(\dfrac{24}{15}+\dfrac{6}{15}-\dfrac{21}{15}\right)\)

\(=\dfrac{3}{4}.\dfrac{9}{15}\)

\(=\dfrac{9}{20}\)

 

e: \(=\dfrac{2^{10}\cdot3^9-2^9\cdot3^8}{2^{10}\cdot3^8}=\dfrac{2^9\cdot3^8\left(2\cdot3-1\right)}{2^{10}\cdot3^8}=\dfrac{5}{2}\)

g: \(=125+\dfrac{3}{5}-97-\dfrac{2}{3}+97+\dfrac{2}{5}-125-\dfrac{1}{3}=0\)

24 tháng 9 2023

\(5:\left(-\dfrac{5}{2}\right)^2+\dfrac{2}{15}\cdot\sqrt{\dfrac{9}{4}}-\left(-2020\right)^0+\left|-0,25\right|\)

\(=5:\dfrac{25}{4}+\dfrac{2}{15}\cdot\dfrac{3}{2}-1+0,25\)

\(=5\cdot\dfrac{4}{25}+\dfrac{3}{15}-0,75\)

\(=\dfrac{4}{5}+\dfrac{1}{5}-\dfrac{3}{4}\)

\(=1-\dfrac{3}{4}\)

\(=\dfrac{1}{4}\)

24 tháng 9 2023

\(5:\left(-\dfrac{5}{2}\right)^2+\dfrac{2}{15}\cdot\sqrt{\dfrac{9}{4}}-\left(-2020\right)^0+\left|-0,25\right|\)
\(=5:\dfrac{25}{4}+\dfrac{2}{15}\cdot\dfrac{3}{2}-1+0,25\)
\(=\dfrac{4}{5}+\dfrac{1}{5}-1+\dfrac{1}{4}\)
\(=1-1+\dfrac{1}{4}\)
\(=\dfrac{1}{4}\)

#kễnh

25 tháng 12 2020

\(\sqrt{25}\)= 5 , - \(\sqrt{4}\) = 2 => 5-3*2:9= 5-6:9= 5-\(\dfrac{2}{3}\)\(\dfrac{13}{3}\)

25 tháng 12 2020

ta có \(\sqrt{25}-3\sqrt{\dfrac{4}{9}}\)

\(\Rightarrow\sqrt{25}.2\)

\(\Rightarrow5.2=10\)

25 tháng 12 2020

ta có \(2^7.9^2:3^3.2^5\)

=\(2^7.3^4:3^2.2^5\)

=\(\left(2^7.2^5\right):\left(3^4.3^3\right)\)

=\(2^{12}:3^7\)

=\(4096:2187\)=\(1,872885231\approx2\)

 

17 tháng 7 2023

`-3/8 - (-3/24 ) = -3/8 -(-1/8) = -3/8 + 1/8 = -2/8 = -1/4`

17 tháng 7 2023

\(-\dfrac{3}{8}-\left(-\dfrac{3}{24}\right)\)

\(=-\dfrac{3}{8}+\dfrac{3}{24}\)

\(=-\dfrac{9}{24}+\dfrac{3}{24}\)

\(=\dfrac{-9+3}{24}\)

\(=-\dfrac{6}{24}\)

\(=-\dfrac{1}{4}\)

12 tháng 10 2017

Ta thực hiện  − 2 24 + − 20 24 + − 32 24 = − 54 24 = − 9 4

9 tháng 7 2023

\(\dfrac{4}{5}-\dfrac{2}{9}\times\left(-3\right)^2+\dfrac{9}{2}\div3\)

\(=\dfrac{4}{5}-\dfrac{2}{9}\times9+\dfrac{3}{2}\)

\(=\dfrac{4}{5}-2+\dfrac{3}{2}\)

\(=-\dfrac{6}{5}+\dfrac{3}{2}\)

\(=\dfrac{3}{10}\)

9 tháng 7 2023

\(\dfrac{4}{5}-\dfrac{2}{9}.\left(-3\right)^2+\dfrac{9}{2}:3\)

\(=\dfrac{4}{5}-\dfrac{2}{9}.9+\dfrac{9}{2}.\dfrac{1}{3}\)

\(=\dfrac{4}{5}-2+\dfrac{3}{2}\)

\(=\dfrac{8}{10}-\dfrac{20}{10}+\dfrac{15}{10}\)

\(=\dfrac{3}{10}\)

HQ
Hà Quang Minh
Giáo viên
20 tháng 9 2023

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