Question

Resolva as expressões: a) 60 ÷ {2 · [-7 + 18 ÷ (-3 + 12)]} – [7 · (-3) – 18 ÷ (-2) + 1] b) {[(8 · 4 + 3) ÷ 7 + (3 + 15 ÷ 5) · 3] · 2 – (19 – 7) ÷ 6} · 2 + 12 c) -8 + {-5 + [(8 – 12) + (13 + 12)] – 10} d) [(18 + 3 · 2) ÷ 8 + 5 · 3] ÷ 6

Answer 1

Resposta:

Explicação passo-a-passo:

a)

$\frac{60}{2 * (-7 + \frac{18}{-3 + 12})}-(7 * (-3)- \frac{18}{-2} + 1)\\= \frac{60}{2 * (-7 + \frac{18}{9})}-(-21- \frac{18}{-2} + 1)\\\\= \frac{60}{2 * (-7 + 2)}-(-21+\frac{18}{2} + 1)\\\\= \frac{60}{2 * (-5)}-(-21+9 + 1)\\\\= \frac{60}{-10}-(-11)\\= \frac{6}{-1}+11\\= -6+11\\= 5$

b)

$(((8 * 4 + 3) / 7 + ( 3 + 15 / 5) * 3) * 2 - (19 - 7) / 6) * 2 + 12 \\= ((\frac{8 * 4 + 3}{7} + ( 3 + \frac{15}{5}) * 3) * 2 - \frac{19 - 7}{6} * 2 ) + 12 \\= ((\frac{32 + 3}{7} + ( 3 + 3) * 3) * 2 - \frac{12}{6} * 2 ) + 12 \\= ((\frac{35}{7} + 6 * 3) * 2 - 2 * 2 ) + 12 \\= ((6 + 18) * 2 - 4 ) + 12 \\= (24 * 2 - 4 ) + 12 \\= (48 - 4 ) + 12 \\= 44 + 12 \\= 52$

c)

$-8 + (-5 + ((8 - 12) + (13 + 12)) - 10)\\= -8 + (-5 + (-4 + 25) - 10)\\= -8 + (-5 + 21 - 10)\\= -8 + (-5 + 11)\\= -8 + 6\\= -2$

d)

$((18 + 3 * 2) / 8 + 5 * 3) / 6\\= ((18 + 6) / 8 + 15) / 6\\= (24 / 8 + 15) / 6\\= (3 + 15) / 6\\= 18 / 6\\=3$