91Ó°ÊÓ

Show that \(0.999 \ldots=1\)

Find each sum or difference. Write in simplest form. $$\frac{5}{9}+\left(-\frac{1}{12}\right)$$

Find each sum or difference. Write in simplest form. $$-3 \frac{3}{4}+\left(-2 \frac{1}{8}\right)$$

Determine whether each statement is sometimes, always, or never true. Explain by giving an example or a counterexample. A rational number is an integer.

Explain how rational numbers are related to other sets of numbers. Illustrate your reasoning with examples of numbers that belong to more than one set and examples of numbers that are only rational.

Find each product. Write in simplest form. $$\frac{3}{5} \cdot \frac{1}{3}$$

Determine whether each statement is sometimes, always, or never true. Give an example or explanation to support your answer. The LCM of three numbers is one of the numbers.

Give one example each of real-world situations where it is most appropriate to give a response in fractional form and in decimal form.

Find each quotient. Round to the nearest tenth, if necessary. (Page 749) $$30.5 \div 11.2$$

Which fraction is between 0.12 and \(0.15 ?\) \(\mathbf{F} \frac{3}{25}\) \(\mathbf{G} \frac{1}{8}\) \(\mathrm{H} \frac{3}{20}\) \(\mathrm{J} \frac{1}{5}\)