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Published byMoris Wheeler Modified over 5 years ago

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**2.2 Rational Numbers Objectives: To show that a number is a rational #**

To graph rational #’s To compare rational #’s using < or >

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Classes of Numbers

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**Rational Numbers Comes from the word “ratio”**

Any number that can be expressed as the ratio of two integers is a fraction A fraction is a rational number

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**Turn any whole # into a fraction by….**

Putting it over 1

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**Ex 1: Write as the ratio of two integers**

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**Ex 2: Write as a ratio of two integers: 7**

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**Any terminating or repeating decimal can be written as a fraction**

It there is 1 decimal place …. put the number over 10 2 decimal places … put over 100 3 decimal places … put over 1000 ****Remember to REDUCE*******

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**Ex 3: Write as the ratio of two integers**

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**Ex 4: Write as a ratio of two integers: 0.7**

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**Ex 5: Write as a ratio of two integers: 4.5**

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**Ex 6: Write the following number as a ratio of two integers: -9.23**

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**Write a mixed number as a ratio of two integers by…**

Turning it into an improper fraction

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**Ex 7: Write 7 ½ as a ratio of two integers**

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**Negative Rational Numbers “Negative three-fourths”**

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**Graphing Fractions on the # line**

Turn improper fractions to mix numbers Find the 2 whole numbers the fraction is in between and put a dot between those two whole numbers

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**Ex 8: Graph on the Number Line**

4 2 -6 -4 -2 6

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**Ex 9: Graph on the Number Line**

4 2 -6 -4 -2 6

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Comparing Decimals Compare each place value

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**Ex 10: Comparing Rational Numbers Using “< “ and “>”**

1.38 1.83

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**Ex 11: Comparing Rational Numbers Using “< “ and “>”**

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Comparing Fractions If they have the same denominator compare numerators If they have different denominators use the heart method

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**Heart Method Cross multiply and bring product down**

Compare the product using < or >

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**Ex 12: Comparing Rational Numbers Using “< “ and “>”**

Cross multiply and compare their products

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**Ex 13: Compare Using < or >**

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**Ex 14: Write the rational orders from least to greatest**

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Density Property Between any two rational numbers there is another rational number

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**Ex 15: Find a number between**

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**Ex 16: Find a number in between 0.45 and 0.46**

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**Assignment: Page 61 (2-38) even**

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4 2 -6 -4 -2 6

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