Violympic toán 7
Các câu hỏi tương tự
Bài 1: Thực hiện phép tính:
\(\sqrt{25}\)x\(\left(0,4-1\dfrac{1}{12}\right)\):\(\left[\left(-2\right)^3x\dfrac{11}{8}\right]\)
Cho: \(C=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{2017}}+\dfrac{1}{3^{2018}}\)
CMR: \(C< \dfrac{1}{2}\)
1. thực hiện phép tính
a. \(-1\dfrac{1}{2}.21\dfrac{1}{3}+1\dfrac{1}{2}.1\dfrac{1}{3}\)
b. \(-3^2-\left(\dfrac{1}{2}\right)^{-2}:2^2+\left(\dfrac{2}{3}\right)^0:\left(\dfrac{3}{4}\right)^{-1}\)
c. \(\sqrt{12}+\sqrt{27}-\sqrt{3}\)
Thực hiện tính
M=\(1+\dfrac{1}{2}\cdot\left(1+2\right)+\dfrac{1}{3}\cdot\left(1+2+3\right)+\dfrac{1}{4}\cdot\left(1+2+3+4\right)+...+\dfrac{1}{16}\cdot\left(1+2+3+...+16\right)\)
\(\dfrac{\sqrt{\dfrac{9}{4}-3^{-1}+2018^0}}{25\%+1\dfrac{1}{4}-1,3}-\dfrac{\left(\dfrac{-1}{2}\right)^2-\sqrt{\dfrac{4}{9}}+0,4}{0,6-\dfrac{2}{3}.\left(\dfrac{-1}{4}-\dfrac{1}{2}\right)}\)
2. thực hiện phép tính
a. \(\dfrac{3}{8}.72\dfrac{1}{5}-51\dfrac{1}{5}.\dfrac{3}{8}\)
b.\(25.\left(\dfrac{-1}{5}^{ }\right)^3+\dfrac{1}{5}-2.\left(\dfrac{-1}{2}\right)^2-\dfrac{1}{2}\)
c.\(35\dfrac{1}{6}.\dfrac{-4}{5}-45\dfrac{1}{6}.\dfrac{-1}{5}\)
Thực hiện các phép tính sau :
A=\(1+\dfrac{1}{2}.\left(1+2\right)+\dfrac{1}{3}.\left(1+2+3\right)+\dfrac{1}{4}.\left(1+2+3+4\right)+...+\dfrac{1}{12}.\left(1+2+...+12\right)\)
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. \(\dfrac{3}{7}+\dfrac{5}{13}+\dfrac{4}{7}-\dfrac{18}{13}\)
Thực hiện phép tính :
A = \(\left(1-\dfrac{1}{1+2}\right).\left(1-\dfrac{1}{1+2+3}\right).....\left(1-\dfrac{1}{1+2+3+....+2006}\right)\)