Question

so sánh 10^3+5/10^4+5 và 10^2+5/10^3+5

Answer 1

\(10\cdot\dfrac{10^3+5}{10^4+5}=\dfrac{10^4+5+45}{10^4+5}=1+\dfrac{45}{10^4+5}\)

\(10\cdot\dfrac{10^2+5}{10^3+5}=\dfrac{10^3+5+45}{10^3+5}=1+\dfrac{45}{10^3+5}\)

mà \(\dfrac{45}{10^4+5}< \dfrac{45}{10^3+5}\)

nên \(\dfrac{10^3+5}{10^4+5}< \dfrac{10^2+5}{10^3+5}\)