Ta có: \(5A=\dfrac{5^9+5}{5^9+1}=1+\dfrac{4}{5^9+1}\)
\(5B=\dfrac{5^{10}+5}{5^{10}+1}=1+\dfrac{4}{5^{10}+1}\)
\(\dfrac{4}{5^9+1}>\dfrac{4}{5^{10}+1}\Rightarrow1+\dfrac{4}{5^9+1}>1+\dfrac{4}{5^{10}+1}\Rightarrow5A>5B\)
\(\Rightarrow A>B\)
Vậy A > B
Bài 1: Thực hiện phép tính:
a, \(\left(\dfrac{7}{20}+\dfrac{11}{15}-\dfrac{15}{12}\right):\left(\dfrac{11}{20}-\dfrac{26}{45}\right)\)
b, \(\dfrac{5-\dfrac{5}{3}+\dfrac{5}{9}-\dfrac{5}{27}}{8-\dfrac{8}{3}+\dfrac{8}{9}-\dfrac{8}{27}}:\dfrac{15-\dfrac{15}{11}+\dfrac{15}{121}}{16-\dfrac{16}{11}+\dfrac{16}{121}}\)
c, \(\dfrac{\dfrac{1}{9}-\dfrac{5}{6}-4}{\dfrac{7}{12}-\dfrac{1}{36}-10}\)
So sánh:
a) 321 và 231
b) A = \(\dfrac{1+5+5^2+...+5^9}{1+5+5^2+...+5^8}\) và B = \(\dfrac{1+3+3^2+...+3^9}{1+3+3^2+...+3^8}\)
Bài 1:
\(a)5\dfrac{1}{20}+\dfrac{8}{9}-\dfrac{15}{25}+\dfrac{75}{-18}\)
\(b)\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}+\dfrac{1}{143}\)
\(c)\dfrac{6}{7}+\dfrac{5}{7}:5-\dfrac{8}{9}.\dfrac{6}{7}+\dfrac{5}{8}:5-\dfrac{3}{16}.\left(-2\right)^2\)
BT2: Tính nhanh
9) (\(\left(5+\dfrac{1}{5}-\dfrac{2}{9}\right)-\left(2-\dfrac{1}{23}-2\dfrac{3}{35}+\dfrac{5}{6}\right)-\left(8+\dfrac{2}{7}-\dfrac{1}{18}\right)\)
10)\(\dfrac{1}{3}-\dfrac{3}{4}-\left(-\dfrac{3}{5}\right)+\dfrac{1}{64}-\dfrac{2}{9}-\dfrac{1}{36}+\dfrac{1}{15}\)
*Phép chia
a)\(11\dfrac{1}{4}-\left(2\dfrac{5}{7}+5\dfrac{1}{4}\right)\)
b)\(\left(8\dfrac{5}{11}+3\dfrac{5}{8}\right)-3\dfrac{5}{11}\)
c)\(\dfrac{-1}{4}.13\dfrac{9}{11}-0,25.6\dfrac{2}{11}\)
d)\(\dfrac{4}{9}:\left(\dfrac{-1}{7}\right)+6\dfrac{5}{9}:\left(\dfrac{-1}{7}\right)\)
Giúp mình với :
1.Tính
a, \(\dfrac{9}{5}-\dfrac{5}{9}\)
b, \(\dfrac{7}{2}+\dfrac{4}{5}+\dfrac{3}{6}\)
c, \(\left(\dfrac{5}{6}-\dfrac{4}{24}\right)+\dfrac{1}{3}\)
d,\(\left(\dfrac{9}{12}-\dfrac{10}{20}\right)-\dfrac{1}{8}\)
cho biểu thức :
A=\(\dfrac{1+9+9^2+...+9^{2010}}{1+9+9^2+...+9^{2009}}\)
B=\(\dfrac{1+5+5^2+...+5^{2010}}{1+5+5^2+...+5^{2009}}\)
Hãy so sánh A và B
Tính hợp lí
a)\(11.\dfrac{1}{4}-\left(2\dfrac{5}{7}+5\dfrac{1}{4}\right)\)
b)\(\left(8\dfrac{5}{11}+3\dfrac{5}{8}\right)-3\dfrac{5}{11}\)
c)\(-\dfrac{1}{4}.13\dfrac{9}{11}-0,25.6\dfrac{2}{11}\)
d)\(\dfrac{4}{9}:\left(-\dfrac{1}{7}\right)+6\dfrac{5}{9}:\left(-\dfrac{1}{7}\right)\)
câu 1: thực hiện phép tính: a)\(\dfrac{8}{5}-\dfrac{9}{5}\) ; b)\(\dfrac{5}{2}+\dfrac{2}{3}\) ; c)\(\dfrac{-5}{9}.\dfrac{2}{11}\); d)\(\dfrac{-2}{9}:\dfrac{1}{3}\); e)\(\dfrac{3}{8}+\dfrac{-1}{4}+\dfrac{5}{12}\); f)\(\dfrac{-4}{3}.\dfrac{5}{4}:\dfrac{7}{3}\)
