Không quy đồng phân số, hãy so sánh: \(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\)và \(B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
Không quy đồng hãy so sánh
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}};B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
không quy đồng mẫu số hãy so sánh:
A= \(\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\) với B= \(\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
−9102010 +−19102011 = −9102011 +−19102010
Không quy đồng mẫu số hãy so sánh :
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\)
\(B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
Help me !!!!!!!!!
Không quy đồng mẫu số hãy so sánh A và B :
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}};B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
giải:
Ta có:
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}=\frac{-9}{10^{2010}}+\frac{-9-10}{10^{2011}}=\frac{-9}{10^{2010}}+\frac{-9}{10^{2011}}+\frac{-10}{10^{2011}}\)
\(B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}=\frac{-9}{10^{2011}}+\frac{-9-10}{10^{2010}}=\frac{-9}{10^{2011}}+\frac{-9}{10^{2010}}+\frac{-10}{10^{2010}}\)
Vì \(\frac{10}{10^{2011}}< \frac{10}{10^{2010}}\rightarrow\frac{-10}{10^{2011}}>\frac{-10}{10^{2010}}\Rightarrow\frac{-9}{10^{2010}}+\frac{-9}{10^{2011}}+\frac{-10}{10^{2011}}>\frac{-9}{10^{2011}}+\frac{-9}{10^{2010}}+\frac{-10}{10^{2010}}\)
Vậy \(A>B\)( Bạn nhớ đọc kĩ lời giải nhé)
Không quy đồng mẫu số hãy so sánh \(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\)\(;B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
\(A-B=\frac{10}{10^{2010}}-\frac{10}{10^{2011}}=\frac{1}{10^{2009}}-\frac{1}{10^{2010}}>0\)
\(\Rightarrow A>B\)
+)Ta có:A=\(\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}=\frac{-9}{10^{2010}}+\frac{-9}{10^{2011}}+\frac{-10}{10^{2011}}\)
+)Ta lại có:B=\(\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}=\frac{-9}{10^{2011}}+\frac{-9}{10^{2010}}+\frac{-10}{10^{2010}}\)
+)Ta thấy:\(\frac{-10}{10^{2011}}>\frac{-10}{10^{2010}}\)
=>\(\frac{-9}{10^{2010}}+\frac{-9}{10^{2011}}+\frac{-10}{10^{2011}}\)>\(\frac{-9}{10^{2011}}+\frac{-9}{10^{2010}}+\frac{-10}{10^{2010}}\)
Hay A>B
Vậy A>B
Chúc bn học tốt
Không quy đồng mẫu số hãy so sánh
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\)
\(B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
Không quy đồng mẫu số hãy so sánh
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}\)
\(B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
\(A-B=\frac{10}{10^{2012}}-\frac{10}{10^{2011}}=\frac{1}{10^{2009}}-\frac{1}{10^{2010}}>0\)
\(\Rightarrow A>B\)
- Không quy đồng mẫu số hãy so sánh :
A = \(\frac{-9}{10^{2010\frac{ }{ }}}+\frac{-19}{10^{2011}}\) ; B = \(\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}\)
\(A=\frac{-9}{10^{2010}}+\frac{-19}{10^{2011}}=\frac{-9}{10^{2010}}+\frac{-9-10}{10^{2011}}=\frac{-9}{10^{2010}}+\frac{-9}{10^{2011}}+\frac{-10}{10^{2011}}\)
\(B=\frac{-9}{10^{2011}}+\frac{-19}{10^{2010}}=\frac{-9}{10^{2011}}+\frac{-9-10}{10^{2010}}=\frac{-9}{10^{2011}}+\frac{-9}{10^{2010}}+\frac{-10}{10^{2010}}\)
Vì \(\frac{-10}{10^{2011}}>\frac{-10}{10^{2010}}\rightarrow A>B\)
Không quy đồng mẫu số hãy so sánh:
A=\(\frac{-9}{10^{2010}}\)+\(\frac{-19}{10^{2011}}\)
B=\(\frac{-9}{10^{2011}}\)+\(\frac{-19}{10^{2010}}\)
Làm giúp mk nhé!!!