Bài 1 : Thực hiện phép tính

(1) D = \(1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+...+\frac{1}{16}\left(1+2+...+16\right)\)

(2) M =\(\frac{\frac{1}{99}+\frac{2}{98}+\frac{3}{97}+...+\frac{99}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{100}}\)

Bài 2 : Tìm x biết

(1) \(x-\left\{x-\left[x-\left(-x+1\right)\right]\right\}=1\)

(2) \(\left[\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2016}\right]\cdot x=\frac{2015}{1}+\frac{2014}{2}+...+\frac{1}{2015}\)

(3) \(\frac{x}{\left(a+5\right)\left(4-a\right)}=\frac{1}{a+5}+\frac{1}{4-a}\)

(4) \(\frac{x+2}{11}+\frac{x+2}{12}+\frac{x+2}{13}=\frac{x+2}{14}+\frac{x+2}{15}\)

(5) \(\frac{x+1}{2015}+\frac{x+2}{2014}+\frac{x+3}{2013}+\frac{x+4}{2012}+4=0\)

Bài 3 : 

(1) Cho : A =\(\frac{9}{1}+\frac{8}{2}+\frac{7}{3}+...+\frac{1}{9}\); B =\(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{10}\)

CMR : \(\frac{A}{B}\)Là 1 số nguyên

(2) Cho : D =\(\frac{1}{1001}+\frac{1}{1002}+\frac{1}{1003}+...+\frac{1}{2000}\)CMR : \(D< \frac{3}{4}\)

Bài 4 : Ký hiệu [x] là số nguyên lớn nhất không vượt quá x , gọi là phần nguyên của x.

VD : [1.5] =1 ; [3] =3 ; [-3.5] = -4

(1) Tính :\(\left[\frac{100}{3}\right]+\left[\frac{100}{3^2}\right]+\left[\frac{100}{3^3}\right]+\left[\frac{100}{3^4}\right]\)

(2) So sánh : A =\(\left[X\right]+\left[X+\frac{1}{5}\right]+\left[X+\frac{2}{5}\right]+\left[X+\frac{3}{5}\right]+\left[X+\frac{4}{5}\right]\)và B = [5x]. Biết x=3.7

Bài 1 hãy tính

1 . A = \(\frac{9^5.5^7}{45^7}\)

2 .B = \(\left(\frac{2^2.2^3}{4^2.16}\right)^{15}\)\(:\left(\frac{2^6}{16^2}\right)^{10}\)

3 . A= \(\frac{-5.7^5+7^4}{7^6.10-2.7^5}\)

4 . B = \(\frac{10^3+5.10^2.5^3}{-13}\)

5 . A = \(\frac{\left(-0,03\right)^7.2^8}{\left(0,6\right)^7}\)

6 . B= \(\frac{3^7.16^3}{12^5.27^2}\)

7 . A = \(\frac{2^3.\left(0,5\right)^3.3^7}{2.\left(,5\right)^4.3^8}\)

8 . B = \(\left(\frac{-1}{3}\right)^3\)\(.\left(\frac{-1}{3}\right)^2\)\(.\left(\frac{-1}{3}\right)\)

Giúp mik nhé . mik cần ngay

  Tìm góc số đo x ( chỗ góc A là góc vuông nhen mn)

 Tìm GTLN hoạc GTNN (nếu có)

a, A = \(|x+1|-2019\)

b, B =  -\(x-1|+2020|\)

c, C = \(|x+1|+|x+3|\)

d, D = \(|x+1|+|x-5|-2021\)

e, E = \(|x-1|+2020\times|x-2|+|x+3|\)

f, F = \(|x-3|+201+|x-2|+|1-x|\)

g, G = \(|x-2017|+|x-2018|+|x-2019|+|x-2020|\)

h, H = \(|x-1|+|x-2|+|2x-10|\)