a. The rule for dividing signed numbers is:
Two numbers with different signs have a quotient that is negative.
Two numbers with the same signs have a quotient that is positive.
b. [tex]-3\frac{1}{3} \div 2\frac{1}{2} \\\\-\frac{10}{3} \div \frac{5}{2}\\\\-\frac{10}{3} \times \frac{2}{5} = -\frac{2}{3}\times \frac{2}{1} = -\frac{4}{3} = \boxed{-1\frac{1}{3}}[/tex]
Question #2
a. [tex]-\frac{17}{8} \div \frac{-17}{4} = \frac{-17}{8} \times \frac{-4}{17} = \boxed{\frac{1}{2}}[/tex]
b. [tex]4.03 \div -3.1 = 4.03\times \frac{1}{-3.1} =\boxed{ -1.3}[/tex]
c. [tex]\frac{-5}{6} \div \frac{-15}{7} = \frac{-5}{6}\times \frac{7}{-15} =\boxed {\frac {7}{18}} [/tex]
d. [tex]-20.582\div -4.1 = \bpxed {5.02}[/tex]