1. Consider this division sentence: -3 1/3 ÷ 2 1/2 = ?
AWhat is the rule for dividing signed numbers?
BUse the rule to calculate the quotient. Show your work.

  1. Calculate each quotient and show your work.

A-2 1/8 ÷ -4 1/4 b. 4.03 ÷ -3.1 c. -5/6 ÷ -2 1/7 d. - 20.582 ÷ -4.1

Verified Answer :

TSO
AThe 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. \(-3\frac{1}{3} \div 2\frac{1}{2} \\\\-\frac{10}{3} \div \frac{5}{2}\\\\-\frac{10}{3} \times \frac{2}{5} = -\frac{2}{3}\times \frac{2}{1} = -\frac{4}{3} = \boxed{-1\frac{1}{3}}\)

Question #2

a. \(-\frac{17}{8} \div \frac{-17}{4} = \frac{-17}{8} \times \frac{-4}{17} = \boxed{\frac{1}{2}}\)

b. \(4.03 \div -3.1 = 4.03\times \frac{1}{-3.1} =\boxed{ -1.3}\)

c. \(\frac{-5}{6} \div \frac{-15}{7} = \frac{-5}{6}\times \frac{7}{-15} =\boxed {\frac {7}{18}}\)

d. \(-20.582\div -4.1 = \bpxed {5.02}\)