- a) $$-4 + |-5| = -4 + 5 = 1$$
- б) $$|-1,8|:\frac{3}{25} = 1,8 \cdot \frac{25}{3} = \frac{18}{10} \cdot \frac{25}{3} = \frac{6}{2} \cdot \frac{5}{1} = 3 \cdot 5 = 15$$
- в) $$|-5,6| - |-1| = 5,6 - 1 = 4,6$$
- г) $$2,25 - |-1\frac{1}{4}| = 2,25 - 1,25 = 1$$
- д) $$|-24,5| + |0| = 24,5 + 0 = 24,5$$
- и) $$|-6| - |-4,2| : |0,7| = 6 - 4,2 : 0,7 = 6 - 6 = 0$$
- e) $$-3\frac{8}{9} - |-0,54| = -3\frac{8}{9} - 0,54 = -3\frac{8}{9} - \frac{54}{100} = -3\frac{8}{9} - \frac{27}{50} = -3\frac{400 + 243}{450} = -3\frac{643}{450} = -4\frac{193}{450}$$
- ж) $$|8,2| - |-0,32| = 8,2 - 0,32 = 7,88$$
- л) $$|-8| : |-7| - |-3,5 - 0,6| = 8 : 7 - |-4,1| = \frac{8}{7} - 4,1 = \frac{8}{7} - \frac{41}{10} = \frac{80 - 287}{70} = -\frac{207}{70} = -2\frac{67}{70}$$
- з) $$|-7,42| : |-\frac{1}{10}| = 7,42 : \frac{1}{10} = 7,42 \cdot 10 = 74,2$$
- к) $$|\frac{5}{18}| - |-9| \cdot |-0,25| - |0| = \frac{5}{18} - 9 \cdot 0,25 - 0 = \frac{5}{18} - 9 \cdot \frac{1}{4} = \frac{5}{18} - \frac{9}{4} = \frac{10 - 81}{36} = -\frac{71}{36} = -1\frac{35}{36}$$
Ответ: 1; 15; 4,6; 1; 24,5; 0; -4$$\frac{193}{450}$$; 7,88; -2$$\frac{67}{70}$$; 74,2; -1$$\frac{35}{36}$$