5. Сравните по модулю числа: a) 18,4 и - 18,04 б) \(\frac{1}{2}\) и -\(\frac{3}{4}\) в) \(\frac{11}{12}\) и -\(\frac{11}{13}\) г) -\(\frac{7}{6}\) и -\(\frac{6}{7}\) д) -\(\frac{11}{120}\) и -\(\frac{7}{40}\) е) -1 и -\(\frac{1}{3}\)

5. Сравните по модулю числа:

a) 18,4 и -18,04

\[|18,4| = 18,4\]

\[|-18,04| = 18,04\]

\[18,4 > 18,04\]

Следовательно, \(|18,4| > |-18,04|\)

б) \(\frac{1}{2}\) и -\(\frac{3}{4}\)

\[|\frac{1}{2}| = \frac{1}{2} = \frac{2}{4}\]

\[|-\frac{3}{4}| = \frac{3}{4}\]

\[\frac{2}{4} < \frac{3}{4}\]

Следовательно, \(|\frac{1}{2}| < |-\frac{3}{4}|\)

в) \(\frac{11}{12}\) и -\(\frac{11}{13}\)

\[|\frac{11}{12}| = \frac{11}{12}\]

\[|-\frac{11}{13}| = \frac{11}{13}\]

Приведем к общему знаменателю: \(\frac{11}{12} = \frac{143}{156}\), \(\frac{11}{13} = \frac{132}{156}\)

\[\frac{143}{156} > \frac{132}{156}\]

Следовательно, \(|\frac{11}{12}| > |-\frac{11}{13}|\)

г) -\(\frac{7}{6}\) и -\(\frac{6}{7}\)

\[|-\frac{7}{6}| = \frac{7}{6}\]

\[|-\frac{6}{7}| = \frac{6}{7}\]

Приведем к общему знаменателю: \(\frac{7}{6} = \frac{49}{42}\), \(\frac{6}{7} = \frac{36}{42}\)

\[\frac{49}{42} > \frac{36}{42}\]

Следовательно, \(|-\frac{7}{6}| > |-\frac{6}{7}|\)

д) -\(\frac{11}{120}\) и -\(\frac{7}{40}\)

\[|-\frac{11}{120}| = \frac{11}{120}\]

\[|-\frac{7}{40}| = \frac{7}{40} = \frac{21}{120}\]

\[\frac{11}{120} < \frac{21}{120}\]

Следовательно, \(|-\frac{11}{120}| < |-\frac{7}{40}|\)

е) -1 и -\(\frac{1}{3}\)

\[|-1| = 1 = \frac{3}{3}\]

\[|-\frac{1}{3}| = \frac{1}{3}\]

\[\frac{3}{3} > \frac{1}{3}\]

Следовательно, \(|-1| > |-\frac{1}{3}|\)