Question

[0,(2)- 1 supra 4 :0,25+3la puterea -3]inmultit cu 0,27=?

Answer 1

=[ 2 /9     -1 /4 · 100 /25  + 3⁻³ ] · 27 /100 =
= [ 2 / 9  - 100  /100  + 1 /27  ] · 27 /100 = 
 =[  2 /9    - 1            + 1 /27 ] · 27 /100 = 
 = [ 2· 3   - 27  + 1 ]  / 27  · 27 / 100 = 
 = [7   - 27  ]  / 27          · 27 / 100 = 
 = [ -20  ] · 27   / 27 · 100 =  -20  / 100 = - 1 / 5

Answer 2

$[0,(2)- \frac{1}{4} :0,25+3^-^3]*0,27=( \frac{2}{9} - \frac{1}{4} : \frac{25}{100} + \frac{1}{27} )* \frac{27}{100} = \\ \\ =( \frac{2}{9} - \frac{1}{4} * \frac{100}{25} + \frac{1}{27} )* \frac{27}{100} =( \frac{2}{9} - \frac{100}{100} + \frac{1}{27} )* \frac{27}{100} = \\ \\ =( \frac{2}{9} -1+ \frac{1}{27} )* \frac{27}{100} = \frac{6-27+1}{27} * \frac{27}{100} = \frac{-21+1}{27} * \frac{27}{100} = \\ \\ = \frac{-20}{27} * \frac{27}{100} =- \frac{540}{2700} =- \frac{1}{5}$