Question

Tính

B=\(\frac{1}{2}:\left(-1\frac{1}{2}\right):1\frac{1}{3}:\left(-1\frac{1}{4}\right):........:\left(-1\frac{1}{100}\right)\)

Answer 1

đổi ra p/s nhân nghịch đảo

Answer 2

=1

Answer 3

\(B=\frac{1}{2}:\left(-1\frac{1}{2}\right):1\frac{1}{3}:\left(-1\frac{1}{4}\right):....:\left(-1\frac{1}{100}\right)\)

\(\Rightarrow B=-\frac{1}{3}:\left(-1\frac{1}{3}\right):.....:\left(-1\frac{1}{100}\right)\)

\(\Rightarrow B=-\frac{1}{100}:\left(-1\frac{1}{100}\right)\)

\(\Rightarrow B=1\)

Answer 4

\(\Rightarrow B=\frac{1}{2}.\frac{2}{-3}.\frac{3}{4}.\frac{4}{-5}...............\frac{100}{-101}\)

\(\Rightarrow B=\frac{1.2.3.4........100}{2.\left(-3\right).4.\left(-5\right)........\left(-101\right)}\)

\(\Rightarrow B=\frac{1}{101}\)