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Question

So sánh A=10^20+3/10^21+3 và B=10^21+4/10^22+4mong mọi người giúp mình thack kiu

hoàng ciin · Accepted Answer

A = $\dfrac{10^{20}+3}{10^{21^{ }}+3}$B = $\dfrac{10^{21}+4}{10^{22}+4}$ < 1$\Rightarrow$ B < $\dfrac{10^{21}+4+6}{10^{22}+4+6}$ $\Rightarrow$ B < $\dfrac{10^{21}+10}{10^{22}+10}$$\Rightarrow$ B < $\dfrac{10\left(10^{20}+1\right)}{10\left(10^{21}+1\right)}$$\Rightarrow$ B < $\dfrac{10^{20}+1}{10^{21}+1}$ < $\dfrac{10^{21}+1+2}{10^{22}+1+2}$$\Rightarrow$ B < $\dfrac{10^{21}+3}{10^{22}+3}$$\Rightarrow$ B < ACâu trả lời: A = $\dfrac{10^{20}+3}{10^{21^{ }}+3}$B = $\dfrac{10^{21}+4}{10^{22}+4}$ < 1$\Rightarrow$ B < $\dfrac{10^{21}+4+6}{10^{22}+4+6}$ $\Rightarrow$ B < $\dfrac{10^{21}+10}{10^{22}+10}$$\Rightarrow$ B < $\dfrac{10\left(10^{20}+1\right)}{10\left(10^{21}+1\right)}$$\Rightarrow$ B < $\dfrac{10^{20}+1}{10^{21}+1}$ < $\dfrac{10^{21}+1+2}{10^{22}+1+2}$$\Rightarrow$ B < $\dfrac{10^{21}+3}{10^{22}+3}$$\Rightarrow$ B < A

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