Tính A = | -2016 + 2017 | - ( -6 + 2015 ) + | -2008 - 2006|
x+1/2017+x+2/2016+x+3/2015=x+10/2008+x+11/2007+x+12/2006
A=2006^2016+1/2006^2017+1 và B= 2006^2015+1/2006^2016+1
A = \(\dfrac{2006^{2016}+1}{2006^{2017}+1}\)
A \(\times\) 2006 = \(\dfrac{(2006^{2016}+1)\times2006}{2006^{2017}+1}\)
A \(\times\) 2006 = \(\dfrac{2006^{2017}+2006}{2006^{2017}+1}\)
A \(\times\)2006 = 1 + \(\dfrac{2006}{2006^{2017}+1}\)
B = \(\dfrac{2006^{2015}+1}{2006^{2016}+1}\)
B \(\times\) 2006 = \(\dfrac{\left(2006^{2015}+1\right)\times2006}{2006^{2016}+1}\)
B \(\times\) 2006 = \(\dfrac{2006^{2016}+2006}{2006^{2016}}\)
B \(\times\) 2006 = 1 + \(\dfrac{2006}{2006^{2016}+1}\)
Vì \(\dfrac{2006}{2006^{2016}+1}\) > \(\dfrac{2006}{2006^{2017}+1}\)
=> B \(\times\) 2006 > A \(\times\) 2006
B > A
1Tinhs :A=1+2-3-4+5+6-7-8+.....+2005+2006-2007-2008+2009+2010-2011-2012+2014+2015-2016
HELP ME ! CÓ TICK
1 : So sánh :
A = 2016/2017 + 2017/2018 và B = 2
A =2006/2007 + 2007/2008 +2008/2009 và B =3
19/18 và 2005/2004
A=2016/2017+2017/2018
Do 2016/2017<1,2017/2018<1=> A<2 Hay A<B
A=[(-2015)^2016.(-2016^2017)+(-2016)^2017.(-2015^2016)].(-2017)^2018 tính biểu thức A
Ta có : \(A=\left(\left(-2015\right)^{2016}.-2016^{2017}+\left(-2016\right)^{2017}.-2015^{2016}\right).\left(-2017\right)^{2018}\)
\(=\left(2015^{2016}.-2016^{2017}-2016^{2017}.-2015^{2016}\right).2017^{2018}\)
\(=\left(2015^{2016}-2015^{2016}\right).2017^{2018}.\left(-2016^{2017}\right)\)
\(=0.2017^{2018}.\left(-2016^{2017}\right)=0\)
Giải:
\(A=\left[\left(-2015\right)^{2016}.\left(-2016^{2017}\right)+\left(-2016\right)^{2017}.\left(-2015^{2016}\right)\right].\left(-2017\right)^{2018}\)
\(A=\left[2015^{2016}.\left(-2016\right)^{2017}+\left(-2016\right)^{2017}.\left(-2015^{2016}\right)\right].\left(-2017\right)^{2018}\)
\(A=\left[2015^{2016}+\left(-2015^{2016}\right)\right].\left(-2016\right)^{2017}.\left(-2017\right)^{2018}\)
\(A=0.\left(-2016\right)^{2017}.\left(-2017\right)^{2018}\)
\(A=0\)
Find K such that: K-2006=1+(1+2+3)+ ...(1+...+2007) / 2017*1+2016*2+2015*3+...+2*2016+1*2017
(1+2015/2016+2016/2017+1/2).(2015/2016+2016/2017+7/22)-(2015/2016+2016/2017+1/2).(2015/2016+2016/2017+7/22+1)
tính tổng trên
( trình bày cách tính
Tính
(1/2 + 2015/2016 + 2016/2017 + 1)(2015/2016 + 2016/2017 + 7/22) - (1/2 + 2015/2016 + 2016/2017)(2015/2016 + 2016/2017 + 7/22 + 1)
Tính nhanh nếu có thể
a. 2017/2016 nhân 3/4 trừ 1/2016 nhân 0,75
b.1/2 nhân 2015/2016 cộng 1/3 nhân 2015/2016 trừ 2015/2016 nhân 5/6
a)\(=\frac{2017}{2016}.\frac{3}{4}-\frac{1}{2016}.\frac{3}{4}\)
\(=\frac{3}{4}\left(\frac{2017}{2016}-\frac{1}{2016}\right)\)
\(=\frac{3}{4}.1\)
\(=\frac{3}{4}\)
b)\(=\frac{2015}{2016}\left(\frac{1}{2}+\frac{1}{3}-\frac{5}{6}\right)\)
\(=\frac{2015}{2016}.0\)
\(=0\)