Вопрос:

4.39. Найдите значение выражения: а) |−8|−|−5|; б) |−10|·|−15|; в) |240|:|−80|; г) |−710|+|−290|; д) |−2,3|+|3,7|; е) |−4,7|−|−1,9|; ё) |28,52|:|−2,3|; ж) |0,1|·|−10|; з) |−4/5|−|−2/3|; и) |−2 1/3|·|9/14|; й) |3 1/7|−|−1 9/14|; к) |−8 1/3|:|5/9|; л) |7/9|+|−1/3|; м) |7/9−1/3|; н) |−5/18|+|−1/6|; о) |−5/18−1/6|; п) |−2 3/14|+|−1 5/7|−|−19/21|; р) |−2 3/14−1 5/7+19/21|; с) −|−4|:|−1 1/3|; т) −|−7|:|−1 1/6|

Ответ:

  1. \(|-8|-|-5|=8-5=3\).
  2. \(|-10|\cdot|-15|=10\cdot15=150\).
  3. \(|240|:|-80|=240:80=3\).
  4. \(|-710|+|-290|=710+290=1000\).
  5. \(|-2.3|+|3.7|=2.3+3.7=6\).
  6. \(|-4.7|-|-1.9|=4.7-1.9=2.8\).
  7. \(|28.52|:|-2.3|=28.52:2.3=12.4\).
  8. \(|0.1|\cdot|-10|=0.1\cdot10=1\).
  9. \(\left|-\frac45\right|-\left|-\frac23\right|=\frac45-\frac23=\frac{12-10}{15}=\frac2{15}\).
  10. \(\left|-2\frac13\right|\cdot\left|\frac9{14}\right|=\frac73\cdot\frac9{14}=\frac32\).
  11. \(\left|3\frac17\right|-\left|-1\frac9{14}\right|=\frac{22}{7}-\frac{23}{14}=\frac{44-23}{14}=\frac32\).
  12. \(\left|-8\frac13\right|:\left|\frac59\right|=\frac{25}{3}:\frac59=15\).
  13. \(\left|\frac79\right|+\left|-\frac13\right|=\frac79+\frac39=\frac{10}{9}=1\frac19\).
  14. \(\left|\frac79-\frac13\right|=\left|\frac49\right|=\frac49\).
  15. \(\left|-\frac5{18}\right|+\left|-\frac16\right|=\frac5{18}+\frac3{18}=\frac49\).
  16. \(\left|-\frac5{18}-\frac16\right|=\left|-\frac89\right|=\frac49\).
  17. \(\left|-2\frac3{14}\right|+\left|-1\frac57\right|-\left|-\frac{19}{21}\right|=\frac{31}{14}+\frac{12}{7}-\frac{19}{21}=\frac{93+72-38}{42}=\frac{127}{42}=3\frac1{42}\).
  18. \(\left|-2\frac3{14}-1\frac57+\frac{19}{21}\right|=\left|-\frac{127}{42}\right|=\frac{127}{42}=3\frac1{42}\).
  19. \(-|-4|:|-1\frac13|=-4:\frac43=-3\).
  20. \(-|-7|:|-1\frac16|=-7:\frac76=-6\).

Ответ: 3; 150; 3; 1000; 6; 2,8; 12,4; 1; \(\frac2{15}\); \(\frac32\); \(\frac32\); 15; \(1\frac19\); \(\frac49\); \(\frac49\); \(\frac49\); \(3\frac1{42}\); \(3\frac1{42}\); −3; −6.