Question

So sánh 10⁵⁰+1/10⁵⁰-3  với 10⁵⁰+3/10⁵⁰-1

Giúp mình với mình tick cho

Answer 1

\(\frac{10^{50}+1}{10^{50}-3}=\frac{\left(10^{50}-3\right)+4}{10^{50}-3}=1+\frac{4}{10^{50}-3}\)

\(\frac{10^{50}+3}{10^{50}-1}=\frac{\left(10^{50}-1\right)+4}{10^{50}-1}=1+\frac{4}{10^{50}-1}\)

Ta so sánh \(\frac{4}{10^{50}-3}với\frac{4}{10^{50}-1}\) . Ta có \(\frac{4}{10^{50}-3}\)  > \(\frac{4}{10^{50}-1}\)     => 10⁵⁰+1/10⁵⁰-3  > 10⁵⁰+3/10⁵⁰-1

Answer 2

Ta có :  

\(\frac{10^{50}+1}{10^{50}-3}=\frac{10^{50}-3+4}{10^{50}-3}=1+\frac{4}{10^{50}-3}\)

\(\frac{10^{50}+3}{10^{50}-1}=\frac{10^{50}-1+4}{10^{50}-1}=1+\frac{4}{10^{50}-1}\)

Do \(\frac{4}{10^{50}-3}>\frac{4}{10^{50}-1}\)

\(\Rightarrow1+\frac{4}{10^{50}-3}>1+\frac{4}{10^{50}-1}\)

\(\Rightarrow\frac{10^{50}+1}{10^{50}-3}>\frac{10^{50}+3}{10^{50}-1}\)

Chúc bạn học tốt !!! 

Answer 3

10 mũ 50 +1:10 mũ 50-3 = 10 mũ 50 -1

Answer 4

10 mũ 50 + 1 : 10 mũ 50-3 = 10 mũ 50 -1

Answer 5

thank you nhiều mình lấy nick khác k cho nha

Answer 6

Đặt A=\(\frac{10^{50}+1}{10^{50}-3}=\frac{10^{50}-3+4}{10^{50}-3}=1+\)\(\frac{4}{10^{50}-3}\)(1)

\(B=\frac{10^{50}+3}{10^{50}-1}=\frac{10^{50}-1+4}{10^{50}-1}=1+\frac{4}{10^{50}-1}\left(2\right)\)

So sánh ta thấy \(\frac{4}{10^{50}-3}\)< \(\frac{4}{10^{50}-1}\)

=> (1)<(2)

=> A<B

tk mk nha bn

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