So sánh 2 số sau
A= 19^5+2015/19^5-1 và 19^5+2014/19^5-2
Giải nhanh giúp mình nha. Thank
So sánh 2 số sau: A=19^5+2015/19^5-1 và B=19^5+2014/19^5-2
So sánh hai số sau A=19^5+2015/19^5-1. B=19^5+2014/19^5-2
So sánh A = 19^5+2015/19^5-1 ; B= 19^5+2014/19^5-2
\(A=\frac{19^5-1+2017}{19^5-1}\)
\(A=1+\frac{2017}{19^5-1}\)
\(B=\frac{19^5+2015}{19^5-2}=\frac{19^5-2+2017}{19^5-2}=\frac{1+2017}{19^5-2}\)
\(\Rightarrow1+\frac{2017}{19^5-1}< 1+\frac{2017}{19^5-2}\)
\(\Rightarrow A< B\)
So sánh hai số sau: A =\(\frac{19^5+2016}{19^5-1}\) và B =\(\frac{19^5+2015}{^{19^5-2}}\)
\(A=\frac{19^5-1+2017}{19^5-1}=1+\frac{2017}{19^5-1}\)
\(B=\frac{19^5+2015}{19^5-2}=\frac{19^5-2+2017}{19^5-2}=1+\frac{2017}{19^5-2}\)
\(\Rightarrow1+\frac{2017}{19^5-1}< 1+\frac{2017}{19^5-2}\)
\(\Rightarrow A< B\)
ta thấy:B>1
=>\(B=\frac{19^5+2015}{19^5-2}>\frac{19^5+2015+1}{19^5-2+1}=\frac{19^5+2016}{19^5-1}=A\Rightarrow B>A\)
vậy.....
So sánh 2 số sau: \(A=\dfrac{19^5+2016}{19^5-1}\) và \(B=\dfrac{19^5+2015}{19^5-2}\)
Ta có: \(A=\frac{19^5+2016}{19^5-1}=\frac{19^5-1+2017}{19^5-1}=\frac{19^5-1}{19^5-1}+\frac{2017}{19^5-1}=1+\frac{2017}{19^5-1}\)
\(B=\frac{19^5+2015}{19^5-2}=\frac{19^5-2+2017}{19^5-2}=\frac{19^5-2}{19^5-2}+\frac{2017}{19^5-2}=1+\frac{2017}{19^5-2}\)
Vì \(\frac{2017}{19^5-1}< \frac{2017}{19^5-2}\Rightarrow1+\frac{2017}{19^5-1}< 1+\frac{2017}{19^5-2}\Rightarrow A< B\)
Vậy A < B
So sánh 2 số sau: \(A=\dfrac{19^5+2016}{19^5-1}\) và \(B=\dfrac{19^5+2015}{19^5-2}\)
\(A=\frac{19^5+2016}{19^5-1}=\frac{\left(19^5-1\right)+2017}{19^5-1}=1+\frac{2017}{19^5-1}\)
\(B=\frac{19^5+2015}{19^5-2}=\frac{\left(19^5-2\right)+2017}{19^5-2}=1+\frac{2017}{19^5-2}\)
Vì \(19^5-1>19^5-2\) nên \(\frac{2017}{19^5-1}< \frac{2}{19^5-2}\)
\(\Rightarrow1+\frac{2017}{19^5-1}< 1+\frac{2017}{19^5-2}\)
Vậy \(A< B\)
A=19^5+2015/19^5-1 và B=19^5+2014/19^5-2
\(A=\frac{19^5-1+2016}{19^5-1}=1+\frac{2016}{19^5-1}\)
\(B=\frac{19^5-2+2016}{19^5-2}=1+\frac{2016}{19^5-2}\)
\(19^5-1>19^5-2\Rightarrow\frac{2016}{19^5-1}<\frac{2016}{19^5-2}\Rightarrow1+\frac{2016}{19^5-1}<1+\frac{2016}{19^5-2}\)
=> A<B
so sánh C và D biết C=1930+5/1931+5 ; D=1931+5/1932+5
giải giúp mình nhanh nhé mình đang cần gấp mình tick cho
C = 1930+5/1931+5
=>19C = 1931+95/1931+5 = 1+ [90/1931+5]
D = 1931+5/1932+5
=>19D = 1932+95/1932+5 = 1 + [90/1932+5]
ma 90/1931+5 > 90/1932+5
=>19C > 19D
=>C > D
so sánh các cặp số hữu tỉ sau
a)\(\dfrac{3}{-7}\)và \(\dfrac{-5}{9}\)
b)-0,625 và \(\dfrac{-19}{50}\)
c)\(-2\dfrac{5}{9}\)và \(-\left(\dfrac{-23}{-9}\right)\)
giúp mình với, mik tick cho
Lời giải:
a. $\frac{3}{-7}=\frac{-27}{63}$
$\frac{-5}{9}=\frac{-35}{63}$
Do $\frac{27}{63}< \frac{35}{63}$ nên $\frac{-27}{63}> \frac{-35}{63}$
$\Rightarrow \frac{3}{-7}> \frac{-5}{9}$
---------
b.
$-0,625=\frac{-625}{1000}=\frac{-5}{8}=\frac{-125}{200}$
$\frac{-19}{50}=\frac{-76}{200}> \frac{-125}{200}$
$\Rightarrow -0,625> \frac{-19}{50}$
c.
$-2\frac{5}{9}=-(2+\frac{5}{9})=\frac{-23}{9}=-(\frac{-23}{-9})$