Question

So sánh;

M = \(\dfrac{10^{100}+1}{10^{101}+1}\)

N = \(\dfrac{10^{99}+1}{10^{100}+1}\)

Ai giỏi làm giúp mình nha !

Đang cần gấp các bạn ơi

Answer 1

M=\(\dfrac{10^{100^{ }}+1}{10^{101}+1}\)

M=\(\dfrac{10^{99+1}+1}{10^{100+1}+1}\)

M=\(\dfrac{10^{99}.10+1}{10^{100}.10+1}\)

N=\(\dfrac{10^{99^{ }}+1}{10^{100}+1}\)

=>M lớn hơn N

Answer 2

M>N,vì:\(\dfrac{10^{100}+1}{10^{101}+1}=\dfrac{10^{100}}{10^{101}}\)

\(\dfrac{10^{99}+1}{10^{100}+1}=\dfrac{10^{99}}{10^{100}}\)

\(\dfrac{10^{100}}{10^{101}}>\dfrac{10^{99}}{10^{100}}\)