Question

so sánh 

\(A=\frac{10^{14}-1}{10^{15}-11}\)    và           \(B=\frac{10^{14}+1}{10^{15}+9}\)

Answer 1

Có : 10A = 10^15-10/10^15-11 = (10^15-11)+1/10^15-11 = 1 + 1/10^15-11

10B = 10^15+10/10^15+9 = (10^15+9)+1/10^15+9 = 1 + 1/10^15+9

Vì 10^15-11 < 10^15-9 => 1/10^15-11 > 1/10^15+9 => 10A > 10B

=> A < B

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