Question

daca x=0,3(8) si y=1,8 calculati
x+y
[x+y]
[x] +[y]
{x} +{y}
{x+y}

Answer 1

$\text{Dac\u{a} } x=0,3(8) \text{ \c{s}i } y=1,8 \text{ calcula\c{t}i}: \\ \\ \bullet ~~x+y, ~~[x+y] ,~~[x] +[y] , ~~\{x\} +\{y\} ~~,\{x+y\}.\\ \\ \begin{array}{rcl} \boxed{1} ~x+y &=& 0,3(8) + 1,8 \\ &=&0,38888... + 1,80000....\\ &=& 2,18888... \\&=&2,1(8)\end{array}$

$\begin{array}{rcl}\boxed{2} ~[x+y] &=&[0,3(8) + 1,8]\\ &=&[2,1(8)] \\&=& 2\end{array} \\ \\ \begin{array}{rcl}\boxed{3}~ [x] + [y] &=& [0,3(8)]+ [ 1,8] \\ &=& 0 + 1 \\ &=& 1 \end{array}\\ \\ \begin{array}{rcl}\boxed{4}~\{x\}+\{y\}&=& \{0,3(8)\} + \{1,8\}\\ &=& 0,3(8) + 0,8 \\ &=& 0,38888...+0,80000... \\ &=& 1,18888... \\ &=& 1,1(8) \end{array}$

$\begin{array}{rcl} \boxed{5}~\{x+y\} &=& \{0,3(8) + 1,8\} \\ &=& \{2,1(8)\} \\ &=& 0,1(8) \end{array}$