Question

1.So sánh : A= \(\frac{10^8+2}{10^8-1}\)

                B=\(\frac{10^8}{10^8-3}\)

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Answer 1

A=\(\frac{10^8-1+3}{10^8-1}\)=1+\(\frac{3}{10^8-1}\)

B=\(\frac{10^8-3+3}{10^8-3}\)=1+\(\frac{3}{10^8-3}\)

Vì  \(\frac{3}{10^8-1}\)<\(\frac{3}{10^8^{ }-3}\)

=>A<B

Answer 2

A = \(\frac{10^8+2}{10^8-1}\) 

A = \(\frac{100000000+2}{100000000-1}\)

A = \(\frac{100000002}{99999999}\)

A = 1,00000003

B = \(\frac{10^8}{10^8-3}\)

B = \(\frac{100000000}{100000000-3}\)

B = \(\frac{100000000}{99999997}\)

B = 1,00000003

Vì 1,00000003 = 1,00000003

nên       A        =          B

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