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( 2367 - y ) - ( 2^10 - 7 ) = 15^2 - 20
2367 - y - 1024 + 7 = 225 - 20
1343 + 7 - y = 205
1350 - y = 205
y = 1350 - 205
y = 1145
\(\left(2367-y\right)-\left(2^{10}-7\right)=15^2-20\)
\(\left(2367-y\right)-\left(1024-7\right)=225-20\)
\(\left(2367-y\right)-1017=205\)
\(\Rightarrow2367-y=205+1017=1222\)
\(\Rightarrow y=2367-1222=1145\)
\(\frac{46872}{165564}=\frac{62}{219}\)
\(\frac{688882}{2422198}=\frac{62}{218}\)
Do\(\frac{62}{219}\)bé-hơn\(\frac{62}{218}\)nên\(\frac{46872}{165564}\)bé-hơn\(\frac{688882}{2422198}\)
Tối giản: \(\frac{68888}{2422198}\)thành\(\frac{31}{109}\)và \(\frac{46872}{165564}\)thành \(\frac{62}{219}\)
Ta có:
\(\frac{31}{109}=\frac{31.219}{109.219}=\frac{6789}{23871}\)
\(\frac{62}{219}=\frac{62.109}{219.109}=\frac{6758}{23871}\)
Vì 6789 > 6758 nên \(\frac{46872}{165564}>\frac{688882}{2422198}\)
~ Hok tốt ~
a/ (2367 - x) - 1017 = 205
2367-x=205+1017
2367-x=1222
x=2367-1222
x=1145
b/ 5.(x + 35) = 515
x+35=515:5
x+35=103
x=103-35
x=68
a) 2367 - x = 205 + 1017
2367 - x = 1222
x = 2367 - 1222
x = 1145
b) 5 . ( x + 35 ) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 68
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)
Ta có :
\(A=\frac{2016^{2016}+2}{2016^{2016}-1}=\frac{\left(2016^{2016}-1\right)+3}{2016^{2016}-1}=1+\frac{3}{2016^{2016}-1}\)
\(B=\frac{2016^{2016}}{2016^{2016}-3}=\frac{\left(2016^{2016}-3\right)+3}{2016^{2016}-3}=1+\frac{3}{2016^{2016}-3}\)
Vì \(2016^{2016}-1>2016^{2016}-3\) nên \(\frac{3}{2016^{2016}-1}< \frac{3}{2016^{2016}-3}\)
\(\Rightarrow1+\frac{3}{2016^{2016}-1}< 1+\frac{3}{2016^{2016}-3}\)
\(\Rightarrow A< B\)
\(\frac{2323}{2424}=\frac{23.101}{24.101}=\frac{23}{24}\)
\(\frac{20132013}{20142014}=\frac{2013.10001}{2014.10001}=\frac{2013}{2014}\)
Ta có:
\(1-\frac{23}{24}=\frac{24}{24}-\frac{23}{24}=\frac{1}{24}\)
\(1-\frac{2013}{2014}=\frac{2014}{2014}-\frac{2013}{2014}=\frac{1}{2014}\)
Vì \(\frac{1}{24}>\frac{1}{2014}\) nên \(\frac{23}{24}< \frac{2013}{2014}\)
Vậy \(\frac{2323}{2424}< \frac{20132013}{20142014}\)
Tính phần bù với 1 nhé
mình cũng trình bày giống bạn "Muôn cảm súc"
\(\Leftrightarrow\frac{25}{48}.2=\frac{34}{69}.2\)
\(\Leftrightarrow\frac{25}{24}\text{và}\frac{68}{69}\)
mà\(\frac{25}{24}>1\)
\(\frac{68}{69}< 1\)
\(\Rightarrow\frac{25}{24}>\frac{68}{69}\)
\(\Rightarrow\frac{25}{48}>\frac{34}{69}\)
\(\frac{-2367}{3457214}\)và\(\frac{3457214}{2367}\)
Vì\(\frac{-2367}{3457214}< 0;\frac{3457214}{2367}>0\)
Nên\(\frac{-2367}{3457214}< \frac{3457214}{2367}\)
\(\frac{-2367}{3457214}\)và \(\frac{3457214}{2367}\)
Vì \(\frac{-2367}{3457214}< 0;\frac{347214}{2367}>0\)
Nên \(\frac{-2367}{3457214}< \frac{3457214}{2367}\)