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

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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 >

Classes of Numbers

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

Turn any whole # into a fraction by….
Putting it over 1

Ex 1: Write as the ratio of two integers

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

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*******

Ex 3: Write as the ratio of two integers

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

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

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

Write a mixed number as a ratio of two integers by…
Turning it into an improper fraction

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

Negative Rational Numbers “Negative three-fourths”

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

Ex 8: Graph on the Number Line
4 2 -6 -4 -2 6

Ex 9: Graph on the Number Line
4 2 -6 -4 -2 6

Comparing Decimals Compare each place value

Ex 10: Comparing Rational Numbers Using “< “ and “>”
1.38  1.83

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

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

Heart Method Cross multiply and bring product down
Compare the product using < or >

Ex 12: Comparing Rational Numbers Using “< “ and “>”
 Cross multiply and compare their products

Ex 13: Compare Using < or >

Ex 14: Write the rational orders from least to greatest

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

Ex 15: Find a number between

Ex 16: Find a number in between 0.45 and 0.46

Assignment: Page 61 (2-38) even

4 2 -6 -4 -2 6

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