Ta có : \(\dfrac{3}{8^{30}}< \dfrac{7}{8^{30}}\) ; \(\dfrac{7}{8^{40}}< 3\dfrac{8}{8^{40}}\)
\(\Rightarrow\dfrac{3}{8^{30}}+\dfrac{7}{8^{40}}< \dfrac{7}{8^{30}}+3\dfrac{8}{8^{40}}\)
Hay A<B
Ta có : \(\dfrac{3}{8^{30}}< \dfrac{7}{8^{30}}\) ; \(\dfrac{7}{8^{40}}< 3\dfrac{8}{8^{40}}\)
\(\Rightarrow\dfrac{3}{8^{30}}+\dfrac{7}{8^{40}}< \dfrac{7}{8^{30}}+3\dfrac{8}{8^{40}}\)
Hay A<B
I= \(10101.\left(\dfrac{5}{111111}+\dfrac{5}{222222}-\dfrac{4}{3.7.11.13.37}\right)\)
B=\(71\dfrac{38}{45}-\left(43\dfrac{8}{45}-1\dfrac{17}{57}\right)\)
D= \(\left(19\dfrac{5}{8}:\dfrac{7}{12}-13\dfrac{1}{4}:\dfrac{7}{12}\right).\dfrac{4}{5}\)
F= \(\left(9.75.21\dfrac{3}{7}+\dfrac{39}{4}.18\dfrac{4}{7}\right).\dfrac{15}{78}\)
Giups mk vs!!!!!!!!
Bài 1: Tính nhanh
\(A=\dfrac{1}{4}.\dfrac{7}{3}.12\)
\(B=\dfrac{3}{8}.56.\dfrac{25}{7}.\left(-4\right)\)
\(C=\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{3}{13}.\dfrac{6}{7}\)
\(D=\dfrac{-1}{4}.\dfrac{152}{11}+\dfrac{68}{4}.\dfrac{-1}{11}\)
bài 1: TÍNH HỢP LÝ
a, \(49\dfrac{8}{23}-\left(5\dfrac{7}{32}+14\dfrac{8}{23}\right)\)
b, \(-\dfrac{3}{7}.\dfrac{5}{9}+\dfrac{4}{9}.\dfrac{-3}{7}+2\dfrac{3}{7}\)
c, \(0,7.2\dfrac{2}{3}.20.0.375.\dfrac{5}{28}\)
d, \(\left(9\dfrac{30303}{80808}+7\dfrac{303030}{484848}\right)+4.03\)
a)x=\(\dfrac{1}{4}+\dfrac{2}{13}\)
b)\(\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\)
c)\(\dfrac{-8}{3}+\dfrac{-1}{3}\le x\le\dfrac{-2}{7}+\dfrac{-5}{7}\)
d)\(\dfrac{-5}{6}+\dfrac{8}{3}\dfrac{29}{-x}\le x\le\dfrac{-1}{2}+2+\dfrac{5}{2}\)
So sánh A và B
A=\(\dfrac{8^9+13}{8^9+7}\) B=\(\dfrac{8^{10}+4}{8^{10}-1}\)
BT2: Tính nhanh
1) \(\dfrac{5}{6}-\dfrac{6}{7}+\dfrac{7}{8}-\dfrac{8}{9}+\dfrac{10}{9}-\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{7}{8}+\dfrac{8}{9}\)
2) \(\dfrac{1}{13}+\dfrac{16}{7}+\dfrac{3}{105}-\dfrac{9}{7}-\dfrac{-12}{13}\)
tính giá trị biểu thức
A=\(15.\left(\dfrac{3}{5}-\dfrac{2}{3}\right)+1\)
B=\(1-\dfrac{13}{9}:\dfrac{8}{19}+\dfrac{-11}{9}:\dfrac{8}{9}\)
C=\(\dfrac{6}{7}+\dfrac{5}{8}:5-\dfrac{3}{16}.\left(-2^2\right)\)
quy đồng các mẫu số rồi tính tổng:
a)\(\dfrac{14}{-46}\) ; \(\dfrac{123}{-56}\); \(\dfrac{-1}{22}\)
b) \(\dfrac{5}{14}\); \(\dfrac{-3}{40}\); \(\dfrac{13}{140}\)
c) \(\dfrac{-8}{-45}\); \(\dfrac{13}{180}\); \(\dfrac{-4}{-30}\)
1.Tìm x, y thuộc Z :
50- 5*(x + 3 )3=2|3- y|
2.Tính :
a, \(\dfrac{-1}{20}+\dfrac{-1}{30}+\dfrac{-1}{42}+\dfrac{-1}{56}+\dfrac{-1}{72}+\dfrac{-1}{90}\)
b,\(\dfrac{5}{2.1}+\dfrac{4}{1.11}+\dfrac{3}{11.2}+\dfrac{1}{2.15}+\dfrac{13}{15.4}\)
3.Tìm x :
a, \(\dfrac{x-5}{8}=\dfrac{18}{x-5}\) b, ( x-2 )10= ( 2-x )8