Question

9.scrieti sub forma de fractii zecimale urmatoarele sume:


Va rog ajutati ma dau coroana

Answer 1

Răspuns pas cu  pas:

a) $\frac{5}{10} +\frac{6}{10^{4} } +\frac{1}{10^{3} }$

Simplificam fractia prin 5,deci:

$\frac{1}{2} +\frac{6}{10000} +\frac{1}{10^{3} } \\\frac{1}{2}+\frac{6}{10000} +\frac{1}{1000}$

Acum adunam fractiile:

$\frac{2503}{5000} +\frac{1}{1000}$=$\frac{627}{1250}$

b)

  $75+\frac{4}{10^{2} } +\frac{9}{10^{4} } \\75+\frac{4}{100} +\frac{9}{10000} \\\frac{1876}{25} +\frac{9}{10000} \\=\frac{750409}{10000}$

c)

$\frac{4}{10^{2} } +\frac{1}{10^{3} } +\frac{7}{10^{5} } =\\=\frac{4}{100}+\frac{1}{10^{3} } +\frac{7}{10^{5} }=\\=\frac{4}{100}+\frac{1}{1000} +\frac{7}{10^{5} } =\\= \frac{4}{100}+\frac{1}{1000}+\frac{7}{100000} =\\=\frac{1}{25} +\frac{1}{1000} +\frac{7}{100000} = (am.simplificat.prin.4)\\=\frac{41}{1000} +\frac{7}{100000}(adunam)\\=\frac{4107}{100000}$

d)

$23+\frac{1}{10^{1} } +\frac{9}{10^{4} } =\\=23+\frac{1}{10^{} } +\frac{9}{10^{4} }(eliminam.puterea.1,pentru.ca.este.egala.cu.ea.insasi)=\\=23+\frac{1}{10} +\frac{9}{10000} =\\=\frac{231}{10} +\frac{9}{10000} =\\=\frac{231009}{100000}$

e)

$\frac{7}{10^{2} } +\frac{2}{10^{4} }+\frac{6}{10^{5} }=\\ =\frac{7}{100} +\frac{2}{10^{4} } +\frac{6}{10^{5} } =\\=\frac{7}{100} +\frac{2}{10000} +\frac{6}{10^{5} }=\\=\frac{7}{100}+\frac{2}{10000}+\frac{6}{100000} =\\\frac{351}{5000}+\frac{6}{100000} =\\=\frac{3513}{50000}$

f)

$67+\frac{8}{10^{3} } +\frac{3}{10^{6} }=\\=67+\frac{8}{1000} +\frac{3}{10^{6} } =\\=\frac{8376}{125} +\frac{3}{10^{6} } (solutie)\\forma .alternativa:67,008003$

Succes!:)