Задание 19. Найдите значение выражения повышенной сложности: 1) |(−4,8) : (−0,6)| − |(−2,5) · (−3,2)|; 2) (|−5/4| + |3/2|) · (|−2/5| + |1/5|); 3) (|−3,6| + |−2,4|) / (|−3/4| + |1/4|); 4) (|−7/3| − |−2/3|) · (|1,5| + |−0,5|).

Question

Вопрос:

Accepted Answer

\[|(-4.8):(-0.6)|-|(-2.5)\cdot(-3.2)|=|8|-|8|=8-8=0.\]
\[\left(\left|-\frac{5}{4}\right|+\left|\frac{3}{2}\right|\right)\cdot\left(\left|-\frac{2}{5}\right|+\left|\frac{1}{5}\right|\right)=\left(\frac{5}{4}+\frac{3}{2}\right)\cdot\left(\frac{2}{5}+\frac{1}{5}\right)=\frac{11}{4}\cdot\frac{3}{5}=\frac{33}{20}.\]
\[\frac{|-3.6|+|-2.4|}{\left|-\frac{3}{4}\right|+\left|\frac{1}{4}\right|}=\frac{3.6+2.4}{\frac{3}{4}+\frac{1}{4}}=\frac{6}{1}=6.\]
\[\left(\left|-\frac{7}{3}\right|-\left|-\frac{2}{3}\right|\right)\cdot(|1.5|+|-0.5|)=\left(\frac{7}{3}-\frac{2}{3}\right)\cdot(1.5+0.5)=\frac{5}{3}\cdot2=\frac{10}{3}.\]

Ответ: 1) \(0\); 2) \(\frac{33}{20}\); 3) \(6\); 4) \(\frac{10}{3}\).