so sánh
2014 * 2014 và 2015* 2103
(1/2012+1/2013-1/2014)/(5/2012+5/2013-5/2014)-(2/2103+2/2014-2/2015)/(3/2013+3/2014-3/2015)
\(\frac{\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}}{\frac{5}{2012}+\frac{5}{2013}-\frac{5}{2014}}-\frac{\frac{2}{2013}+\frac{2}{2014}-\frac{2}{2015}}{\frac{3}{2013}+\frac{3}{2014}-\frac{3}{2015}}\)
=\(\frac{\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}}{5\left(\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}\right)}-\frac{2\left(\frac{1}{2013}+\frac{1}{2014}-\frac{1}{2015}\right)}{3\left(\frac{1}{2013}+\frac{1}{2014}-\frac{1}{2015}\right)}=\frac{1}{5}-\frac{2}{3}=\frac{3}{15}-\frac{10}{15}=-\frac{7}{15}\)
cho A = 10^2012 + 10^2103 + 10^2014 + 10^2015 + 16 chứng minh A chia hết cho 48
cho A = 10^2012 + 10^2103 + 10^2014 + 10^2015 + 16 chứng minh A chia hết cho 48
so sánh A=2013/2014 + 2014/2015 + 2015/2016 và B=2013+2014+2015/2014+2015+2016
A = \(\frac{2013}{2014}+\frac{2014}{2015}>\frac{1}{2}+\frac{1}{2}=1\)
\(B=\frac{2013+2014+2015}{2014+2015+2016}<1\)
\(Vậy:A>B\)
Đúng nha Nguyễn Bình Minh
so sánh:
\(A=\frac{2013}{2014}+\frac{2014}{2015}+\frac{2015}{2016}\) và\(B=\) \(\frac{2013+2014+2015}{2014+2015+2016}\)
\(B=\frac{2013}{2014+2015+2016}+\frac{2014}{2014+2015+2016}+\frac{2015}{2014+2015+2016}\)
Ta có: \(\frac{2013}{2014}>\frac{2013}{2014+2015+2016}\)
\(\frac{2014}{2015}>\frac{2014}{2014+2015+2016}\)
\(\frac{2015}{2016}>\frac{2015}{2014+2015+2016}\)
\(\Rightarrow\frac{2013}{2014}+\frac{2014}{2015}+\frac{2015}{2016}>\frac{2013+2014+2015}{2014+2015+2016}\)
Vậy: \(A>B\)
so sánh:2014+2015/2015+2016 và 2014/2015+2015/2016
so sánh 2014/2015 và 2015+2015/2016 với 2014+2015/2015+2016
So sánh 2 phân số : A=2015^2016+1/2015^2015+1 và B=2014^2015+1/2014^2014+1
So sánh 2014 mũ 2015 + 2014 mũ 2015 và 2015 mũ 2015? vì sao ?
So sánh 20142015 + 20142014 và 20152015
20142015 + 20142014 = 20142014.2014 + 20142014.1
= 20142014.(2014 + 1) = 20142014.2015
Ta có: 20152015 = 20152014.2015
Dễ thấy 20152014.2015 > 20142014.2015
Vậy 20142015 + 20142014 < 20152015