Răspuns :
[tex]a) \frac{7}{5} + 0.(81) + {3}^{2} \times (5 - 4 \times \frac{1}{8} )[/tex]
[tex] = \frac{7}{5} + \frac{81}{99} + 9 \times (5 - \frac{4}{8} )[/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times ( 5 - \frac{1}{2} ) [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times ( \frac{10}{2} - \frac{1}{2} )[/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times \frac{10 - 1}{2} [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times \frac{9}{2} [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + \frac{9 \times 9}{2} [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + \frac{81}{2} [/tex]
[tex] = \frac{22 \times 7}{110} + \frac{9 \times 10}{110} + \frac{55 \times 81}{110} [/tex]
[tex] = \frac{154}{110} + \frac{90}{110} + \frac{4455}{110} [/tex]
[tex] = \frac{154 + 90 + 4455}{110} [/tex]
[tex] = \frac{4699}{110} [/tex]
[tex] = 42.71[/tex]
[tex]b) \frac{1}{4} \times (2.5 + {5}^{2} )[/tex]
[tex] = \frac{1}{4} \times ( \frac{25}{10} + 25)[/tex]
[tex] = \frac{1}{4} \times ( \frac{5}{2} + 25)[/tex]
[tex] = \frac{1}{4} \times ( \frac{5}{2} + \frac{2 \times 25}{2} )[/tex]
[tex] = \frac{1}{4} \times ( \frac{5}{2} + \frac{50}{2} )[/tex]
[tex] = \frac{1}{4} \times \frac{5 + 50}{2} [/tex]
[tex] = \frac{1}{4} \times \frac{55}{2} [/tex]
[tex] = \frac{1 \times 55}{4 \times 2} [/tex]
[tex] = \frac{55}{8} [/tex]
[tex] = 6.875[/tex]
[tex]c)2.(3) + 1.5 \times 2 - 1[/tex]
[tex] = \frac{23 - 2}{9} + 3 - 1[/tex]
[tex] = \frac{21}{9} + 3 - 1[/tex]
[tex] = \frac{7}{3} + 3 - 1[/tex]
[tex] = \frac{7}{3} + \frac{3 \times 3}{3} - \frac{3 \times 1}{3} [/tex]
[tex] = \frac{7}{3} + \frac{9}{3} - \frac{3}{3} [/tex]
[tex] = \frac{7 + 9 - 3}{3} [/tex]
[tex] = \frac{13}{3} [/tex]
[tex] = 4.(3)[/tex]
[tex]d) ({1.2})^{2} + 3 \times (4 \times (2 \times 0.5 - 1))[/tex]
[tex] ={ ( \frac{12}{10 } ) }^{2} + 3 \times (4 \times (1 - 1))[/tex]
[tex] = \frac{ {12}^{2} }{ {10}^{2} } + 3 \times (4 \times 0)[/tex]
[tex] = \frac{144}{100} + 3 \times 0[/tex]
[tex] = \frac{72}{50} + 0[/tex]
[tex] = \frac{36}{25} [/tex]
[tex] = 1.44[/tex]
[tex] = \frac{7}{5} + \frac{81}{99} + 9 \times (5 - \frac{4}{8} )[/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times ( 5 - \frac{1}{2} ) [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times ( \frac{10}{2} - \frac{1}{2} )[/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times \frac{10 - 1}{2} [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + 9 \times \frac{9}{2} [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + \frac{9 \times 9}{2} [/tex]
[tex] = \frac{7}{5} + \frac{9}{11} + \frac{81}{2} [/tex]
[tex] = \frac{22 \times 7}{110} + \frac{9 \times 10}{110} + \frac{55 \times 81}{110} [/tex]
[tex] = \frac{154}{110} + \frac{90}{110} + \frac{4455}{110} [/tex]
[tex] = \frac{154 + 90 + 4455}{110} [/tex]
[tex] = \frac{4699}{110} [/tex]
[tex] = 42.71[/tex]
[tex]b) \frac{1}{4} \times (2.5 + {5}^{2} )[/tex]
[tex] = \frac{1}{4} \times ( \frac{25}{10} + 25)[/tex]
[tex] = \frac{1}{4} \times ( \frac{5}{2} + 25)[/tex]
[tex] = \frac{1}{4} \times ( \frac{5}{2} + \frac{2 \times 25}{2} )[/tex]
[tex] = \frac{1}{4} \times ( \frac{5}{2} + \frac{50}{2} )[/tex]
[tex] = \frac{1}{4} \times \frac{5 + 50}{2} [/tex]
[tex] = \frac{1}{4} \times \frac{55}{2} [/tex]
[tex] = \frac{1 \times 55}{4 \times 2} [/tex]
[tex] = \frac{55}{8} [/tex]
[tex] = 6.875[/tex]
[tex]c)2.(3) + 1.5 \times 2 - 1[/tex]
[tex] = \frac{23 - 2}{9} + 3 - 1[/tex]
[tex] = \frac{21}{9} + 3 - 1[/tex]
[tex] = \frac{7}{3} + 3 - 1[/tex]
[tex] = \frac{7}{3} + \frac{3 \times 3}{3} - \frac{3 \times 1}{3} [/tex]
[tex] = \frac{7}{3} + \frac{9}{3} - \frac{3}{3} [/tex]
[tex] = \frac{7 + 9 - 3}{3} [/tex]
[tex] = \frac{13}{3} [/tex]
[tex] = 4.(3)[/tex]
[tex]d) ({1.2})^{2} + 3 \times (4 \times (2 \times 0.5 - 1))[/tex]
[tex] ={ ( \frac{12}{10 } ) }^{2} + 3 \times (4 \times (1 - 1))[/tex]
[tex] = \frac{ {12}^{2} }{ {10}^{2} } + 3 \times (4 \times 0)[/tex]
[tex] = \frac{144}{100} + 3 \times 0[/tex]
[tex] = \frac{72}{50} + 0[/tex]
[tex] = \frac{36}{25} [/tex]
[tex] = 1.44[/tex]
