a. Ta có:\(\dfrac{-5}{7}\)=\(\dfrac{-5\cdot8}{7\cdot8}\)=\(\dfrac{-40}{56}\)
\(\dfrac{-3}{8}\)=\(\dfrac{-3\cdot7}{8\cdot7}=\dfrac{-21}{56}\)
Ta thấy :\(\dfrac{-40}{56}< \dfrac{-21}{56}\)⇔\(\dfrac{-5}{7}< \dfrac{-3}{8}\)
1. So sánh các tích sau hợp lý nhất:
P = \(\left(-\dfrac{21}{34}\right)\)\(\left(-\dfrac{13}{27}\right)\)\(\dfrac{7}{9}\)
Q = \(\left(-0,5\right)\)\(\dfrac{3}{19}\)\(\left(-\dfrac{24}{41}\right)\)\(\left(\dfrac{8}{31}\right)\)
M = \(\dfrac{-6}{17}.\dfrac{-5}{17}.\) ... \(.\dfrac{5}{17}.\dfrac{6}{17}\)
2. Tính hợp lý:
A = \(\left(-\dfrac{3}{11}\right).\dfrac{7}{10}.\dfrac{11}{-13}.\left(-20\right)\)
B = \(\dfrac{-4}{9}:\dfrac{2}{13}+\left(\dfrac{-5}{18}\right).\dfrac{2}{13}\)
C = \(\left(2\dfrac{1}{15}.\dfrac{3}{19}.\dfrac{2}{31}\right):\left(-\dfrac{5}{19}\right)\)
Help me!
A=\(\dfrac{\dfrac{3}{4}-\dfrac{3}{11}+\dfrac{3}{13}}{\dfrac{5}{7}-\dfrac{5}{11}+\dfrac{5}{13}}+\dfrac{\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}}{\dfrac{5}{4}-\dfrac{5}{6}+\dfrac{5}{8}}\)
câu 1 . Thực hiện phép tính
a. 0,05 + 5 - \(\dfrac{1}{2}\)
b. \(\dfrac{6}{15}-\dfrac{7}{8}+3-\dfrac{3}{5}-\dfrac{2}{16}\)
c. \(\dfrac{3}{5}.\dfrac{15}{7}-\dfrac{15}{7}.\dfrac{8}{5}\)
d. \(\dfrac{2}{5.7}+\dfrac{2}{7.9}+\dfrac{2}{9.11}+....+\dfrac{2}{93.99}\)
e. \(\dfrac{7}{4}:\dfrac{-9}{8}-\dfrac{3}{9}\)
f. \(\dfrac{15}{17}.\dfrac{19}{21}+\dfrac{19}{21}.\dfrac{2}{17}+\dfrac{13}{21}\)
g. \(\left(4-\dfrac{5}{12}\right):2+\dfrac{5}{24}\)
A=\(\dfrac{\dfrac{3}{4}-\dfrac{3}{11}+\dfrac{3}{13}}{\dfrac{5}{7}-\dfrac{5}{11}+\dfrac{5}{13}}\) +\(\dfrac{\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}}{\dfrac{5}{4}-\dfrac{5}{6}+\dfrac{5}{8}}\)
\(\dfrac{\dfrac{3}{7}-\dfrac{3}{11}+\dfrac{3}{13}}{\dfrac{5}{7}-\dfrac{5}{11}+\dfrac{5}{13}}\) + \(\dfrac{\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}}{\dfrac{5}{4}+\dfrac{5}{8}-\dfrac{5}{6}}\)
Tính giá trị biểu thức:
a,\(A=\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
b,\(^{B=\dfrac{\left[\left(6,2:0,31-\dfrac{5}{6}.0,9\right).0,2+0,15\right]:12}{\left(2+1\dfrac{4}{11}.0,22:0,1\right).\dfrac{1}{33}}}\)
c,\(C=\dfrac{\left(\dfrac{3}{4}\right)^3+\left(\dfrac{5}{4}\right)^3-5\left(\dfrac{4}{3}-\dfrac{5}{4}\right)}{\left(\dfrac{-5}{8}\right)^2+\left(\dfrac{2}{3}\right)^2-\dfrac{5}{6}}\)
d,\(D=\left[\dfrac{\dfrac{17}{24}.9\dfrac{1}{2}-3\dfrac{1}{4}.\dfrac{17}{24}}{3\dfrac{1}{2}.2\dfrac{13}{36}+2\dfrac{13}{36}.2\dfrac{3}{4}}-\dfrac{1}{5}\right]^{-2}\)
Giúp em với chị @Nhã Doanh ới!!!!!!!!
Mai em phải đi thi rồi :((
4. thực hiện phép tính
a.\(\dfrac{4}{9}+\dfrac{11}{125}-\dfrac{17}{18}+\dfrac{17}{14}-\dfrac{5}{7}\)
b. \(1-\dfrac{1}{2}+2-\dfrac{2}{3}+3-\dfrac{3}{4}+4-\dfrac{1}{4}-3-\dfrac{1}{3}-2-\dfrac{1}{2}-1\)
c.\(\dfrac{1}{3}.\dfrac{14}{25}-\dfrac{1}{2}:\dfrac{25}{14}\)
d. \(\dfrac{3}{7}+\dfrac{5}{13}+\dfrac{4}{7}-\dfrac{18}{13}\)
a) \(\dfrac{a}{2}=\dfrac{b}{3};\dfrac{b}{4}=\dfrac{c}{5}\) và a+b+c=2 d) \(\dfrac{x+1}{3}=\dfrac{y-2}{4}=\dfrac{z-1}{13}\) và 2x-3y+z=42
b) 2a = 3b = 5c và a+b-c =3 i) x:y:z = 2:3:5 và x*y*z=810
c) \(\dfrac{x}{7}=\dfrac{y}{3}\) và x - 42 =y \(\dfrac{x}{2}=\dfrac{y}{3};\dfrac{y}{4}=\dfrac{z}{5}\) và x2 - y2 = -16
các bạn giúp mình với, mình k biết làm. help me!!!!!
1, Lập các tỉ lệ thức từ các đẳng thức sau :
a) (-2) . 15 = 5 . (-6)
b) 2,4 . 3,2 = 8 . 0,96
2, Tìm x trong các tỉ lệ thức
a) \(\dfrac{-1}{x}\) = \(\dfrac{3}{18}\)
b) 2,5 : 7,5 = x : \(\dfrac{3}{5}\)
3, Tìm x biết
a) 2x - 15 = 37 b) \(|2x+1|\)-\(\dfrac{3}{2}\)= \(\dfrac{7}{6}\)
4, Tìm các số x, y, z biết
a) \(\dfrac{x}{y}=\dfrac{17}{3}\) và x + y = -60
b) \(\dfrac{x}{3}=\dfrac{y}{4}=\dfrac{z}{7}\) và x + y + z = 42
c) \(\dfrac{x}{2}=\dfrac{y}{3};\dfrac{y}{5}=\dfrac{z}{4}\) và x - y + y = -49