Tính nhanh :
27 x 8 x 3
=
6 x 4 x 18 gạch ở giữa nha C.ơn
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a) \(\frac{27.45+55.27}{2+4+6+8+...+16+18}=\frac{27.\left(45+55\right)}{\left(2+18\right)+\left(16+4\right)+\left(14+6\right)+\left(12+8\right)}\)
\(=\frac{27.100}{20+20+20+20}=\frac{2700}{20.4}=\frac{2700}{80}=\frac{135}{4}\)
b) Lười
Làm giống câu a nhé
2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 24 x 31 + 24 x 42 + 24 x 27
= 24 x ( 31 + 42 + 27 )
= 24 x 100
= 2400
2 x 3 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 2 x 12 x 3 + 4 x 6 x 42 + 8 x 3 x 27
= 24 x 3 + 24 x 42 + 24 x 27
= 24 x ( 3 + 42 + 27 )
= 24 x 72
= 1728
2x3x12+4x6x42+8x27x3
=2x3x4x3+4x2x3x42+4x2x27x3
=2x3x4x(3+42+27)
=24x72
=1728
2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 2 x 31 x 4 x 3 + 4 x 2 x 3 x 42 + 2 x 4 x 3 x 27
= [2 x 3 x 4] x (31 + 42 + 27)
= 24 x 100
= 2400
\(P=\frac{3^9.3^{20}.3^8}{3^{24}.2^6.343}\)
\(\Leftrightarrow P=\frac{3^{37}}{3^{24}.2^6.3^5}\)
\(\Leftrightarrow P=\frac{3^{37}}{3^{29}.2^6}\)
\(\Leftrightarrow P=\frac{3^8}{2^6}\)
a: \(=\dfrac{7\left(145+55\right)}{6\left(315+35\right)}=\dfrac{7}{6}\cdot\dfrac{200}{350}=\dfrac{7}{6}\cdot\dfrac{4}{7}=\dfrac{2}{3}\)
2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)
3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)
4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)
5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)
6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)
\(\dfrac{27\cdot8\cdot3}{6\cdot4\cdot18}=\dfrac{27}{18}\cdot\dfrac{3}{6}\cdot\dfrac{8}{4}=\dfrac{27}{18}=\dfrac{3}{2}\)
\(=\dfrac{3\times2}{2\times2}=\dfrac{3}{2}\)