Question

f. division of rational numbers
divide the following. review the division properties of 0! be sure to show all work and circle your answers.
(review appendix c for help if necessary.)
assignment

1. $-16\enclose{longdiv}{0}$
2. $\frac{7}{-7}=$
3. $\frac{-31.2}{-2.6}=$
4. $-2\frac{1}{3} \div \frac{7}{9}=$
5. $\frac{-44}{5.5}=$
6. $-35.5 \div -5=$
7. $2,632 \div 7=$
8. $-32\enclose{longdiv}{-128}$
9. $\frac{\frac{1}{6}}{\frac{1}{5}}=$

Explanation:

Step1: Divide 0 by non-zero number

$0 \div (-16) = 0$

Step2: Divide same sign rationals

$\frac{7}{-7} = -1$

Step3: Divide same sign decimals

$\frac{-31.2}{-2.6} = \frac{31.2}{2.6} = 12$

Step4: Convert mixed number, flip divisor

$-2\frac{1}{3} = -\frac{7}{3}$, so $-\frac{7}{3} \div \frac{7}{9} = -\frac{7}{3} \times \frac{9}{7}$
Simplify: $-\frac{7 \times 9}{3 \times 7} = -3$

Step5: Divide opposite sign rationals

$\frac{-44}{5.5} = -8$

Step6: Divide same sign decimals

$-35.5 \div (-5) = \frac{35.5}{5} = 7.1$

Step7: Divide positive integers

$2632 \div 7 = 376$

Step8: Divide same sign integers

$-128 \div (-32) = 4$

Step9: Flip divisor, multiply fractions

$\frac{\frac{1}{6}}{\frac{1}{5}} = \frac{1}{6} \times \frac{5}{1} = \frac{5}{6}$

Answer:

1. $0$
2. $-1$
3. $12$
4. $-3$
5. $-8$
6. $7.1$
7. $376$
8. $4$
9. $\frac{5}{6}$