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**5.1 Rational Numbers 90 Ex: 0.6 -3.9 -15 2.) 0.9 3.) 32**

Rational Number- A number that can be written as a fraction -15 Ex: 0.6 90 -3.9 Write two more examples of rational numbers. Show that the number is rational by writing it as a quotient of two integers. 1.) 2.) 0.9 3.) 32

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** Real Number- the set of rational and irrational numbers**

Irrational Numbers- Numbers that cannot be written as a fraction (non-repeating, non-terminating decimals, square root of a non-perfect
square) Ex. Real Number- the set of rational and irrational
numbers The Venn diagram shows the relationship among all real numbers

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**Tell if the number is rational or irrational.**

2.) 1.) 3.) 4.)

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**Write each fraction as a decimal. Use the equivalent
fraction method.**

2.) 1.) Write each fraction or mixed number as a decimal. Use the
division method. Tell if it is repeating or terminating 3.) 4.) 5.) 6.)

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**What pattern do you notice?**

Write each decimal as a fraction in lowest terms. 2.) 1.6 1.) 0.65 3.) Sometimes you can find a pattern. Write each fraction as a decimal. b.) c.) d.) a.) What pattern do you notice?

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**Writing a repeating decimal as a fraction.**

1.) Write as a fraction. Set the variable equal to n Multiply each side of the
equation by 100 Subtract the same value form
each side Solve 2.) Write as a fraction.

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**To order fractions and decimals, you must convert the
fractions to decimals and then compare.**

Write in order from least to greatest. Be sure to change each fraction to
a decimal first. 1.) 2.)

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**Demonstrate Understanding**

Write the fraction or mixed number as a decimal. 1.) 2.) Write the decimal as a fraction or mixed number in lowest terms. 3.) 4.) 0.7 5.) Write the numbers in order from least to greatest. 6.) Write irrational or rational. 7.) 8.)

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