2.4 Multiplying and Dividing Rational Numbers

Fill in the Blanks

How is multiplying and dividing rational numbers similar to multiplying and dividing integers?

​Example 1

​Do the work in your notebook.

Multiple Choice

$$\frac{5}{16}\cdot3\ \frac{1}{5}$$  

• $$3\ \frac{5}{80}$$  

• $$1$$  

• $$\frac{21}{80}$$  

• $$1\ \frac{5}{11}$$  

Multiple Choice

$$-\frac{4}{6}\cdot\frac{2}{3}$$  

• $$-\frac{4}{9}$$  

• $$-\frac{3}{4}$$  

• $$\frac{4}{9}$$  

• $$\frac{3}{4}$$  

​Example 2

Multiple Choice

Find the reciprocal of $$-\frac{2}{5}$$  

• $$-\frac{5}{2}$$  

• $$\frac{5}{2}$$  

Multiple Choice

$$-5\frac{1}{5}\div2\ \frac{1}{3}$$  

•   $$-2\ \frac{8}{35}$$  

• $$2\ \frac{8}{35}$$   

•   $$-10\ \frac{1}{15}$$  

•   $$10\ \frac{1}{15}$$  

Multiple Choice

$$3\ \frac{1}{4}\div1\ \frac{1}{8}$$  

• $$2\ \frac{8}{9}$$  

• $$-2\ \frac{8}{9}$$  

• $$-3\ \frac{21}{32}$$  

• $$3\ \frac{21}{32}$$  

​Example 3

Multiple Choice

$$-3.8\cdot4$$  

• $$-1.52$$  

• $$7.8$$  

• $$7.08$$  

• $$-15.2$$  

Multiple Choice

$$-0.2\cdot-0.8$$  

• $$16$$  

• $$0.016$$  

• $$0.16$$  

• $$1.6$$  

​Example 4

Multiple Choice

$$−0.25\div(−0.05)$$  

• $$5$$  

• $$-5$$  

• $$0.5$$  

• $$-0.5$$