4.14. Найдите длину отрезка: A) [3;5] Б) [9;20] B) [12,1;25,3] Г) [ 4 7 ; 3 14 ] Д) [-3;4] E) [-5;7] Ë) [-6;-3] Ж) [0;7] 3) [-7;0] И) [-7;7] Й) [ - 1 2 ; 1 3 ] К) [ - 1 3 ; 1 2 ] Л) [-10;-3] M) [-100;-57] H) [-0,1;0,01] O) [-0,1;-0,099] 1) [-12,45; -1,09] P) [-13-6] C) [-12,45;45,12]T) [3]

Решение заданий 4.14: Чтобы найти длину отрезка, нужно из большего числа вычесть меньшее. А) \([3;5]\) \(5-3 = 2\) Б) \([9;20]\) \(20 - 9 = 11\) В) \([12.1;25.3]\) \(25.3 - 12.1 = 13.2\) Г) \([ 4\frac{3}{7}; \frac{3}{14}]\) \(\frac{31}{7} - \frac{3}{14} = \frac{62}{14} - \frac{3}{14} = \frac{59}{14} = 4\frac{3}{14}\) Д) \([-3;4]\) \(4 - (-3) = 4 + 3 = 7\) Е) \([-5;7]\) \(7 - (-5) = 7 + 5 = 12\) Ё) \([-6;-3]\) \(-3 - (-6) = -3 + 6 = 3\) Ж) \([0;7]\) \(7 - 0 = 7\) З) \([-7;0]\) \(0 - (-7) = 0 + 7 = 7\) И) \([-7;7]\) \(7 - (-7) = 7 + 7 = 14\) Й) \([-\frac{1}{2}; \frac{1}{3}]\) \(\frac{1}{3} - (-\frac{1}{2}) = \frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}\) К) \([-\frac{1}{3}; \frac{1}{2}]\) \(\frac{1}{2} - (-\frac{1}{3}) = \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}\) Л) \([-10;-3]\) \(-3 - (-10) = -3 + 10 = 7\) М) \([-100;-57]\) \(-57 - (-100) = -57 + 100 = 43\) Н) \([-0.1;0.01]\) \(0.01 - (-0.1) = 0.01 + 0.1 = 0.11\) О) \([-0.1;-0.099]\) \(-0.099 - (-0.1) = -0.099 + 0.1 = 0.001\) П) \([-12.45;-1.09]\) \(-1.09 - (-12.45) = -1.09 + 12.45 = 11.36\) Р) \([-13\frac{2}{15}; -6\frac{5}{12}]\) \(-6\frac{5}{12} - (-13\frac{2}{15}) = -6\frac{5}{12} + 13\frac{2}{15} = -6\frac{25}{60} + 13\frac{8}{60} = 7\frac{8-25}{60} = 6 + \frac{60 + 8 - 25}{60} = 6\frac{43}{60}\) С) \([-12.45;45.12]\) \(45.12 - (-12.45) = 45.12 + 12.45 = 57.57\) Т) \([-\frac{7}{5}; -\frac{5}{7}]\) \(-\frac{5}{7} - (-\frac{7}{5}) = -\frac{5}{7} + \frac{7}{5} = -\frac{25}{35} + \frac{49}{35} = \frac{24}{35}\)