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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 fractionIt 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 # lineTurn 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 Line4 2 -6 -4 -2 6
Ex 9: Graph on the Number Line4 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 downCompare 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
Workshop Lesson 3: Terminating & Repeating Decimals 7 th Grade.
Changing Percents to a Fraction #3 To change a percent to a fraction you need to first write the numerator over 100. Next simplify the fraction.
Rational Numbers and Decimals
Take out homework and have it ready to be checked!!!
RATIONAL NUMBERS: 1-1A MA.8.A.6.4. A rational number can be written as a fraction (where denominator is not 0) Exs:,, Rational Numbers Chapter 1: Rational.
Bell Work: Write the first 10 prime numbers.
Objective - To recognize, graph, and compare rational numbers. Rational Number - any number that can be written as a fraction. including decimals... including.
Comparing and Ordering Rational Numbers
1-2 Multiplying Rational Numbers Write each number as an improper fraction Bell Work Multiply (and think!): 4.
Do Now 1/12/10 Copy HW in your planner. –Text p. 222, #20-60 evens Open your notebook to a new page and put the following heading on the top of the page.
The root word of rational is ratio.
Terminating & Repeating Decimal
NOTES 2.1 Rational Numbers VOCAB: rational number: is a number that can be written as the ratio of two integers. (a fraction) terminating decimal: is a.
Multiplying Rational Numbers (Multiplying Fractions)
2-11 Comparing and Ordering Rational Numbers Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quizzes Lesson Quizzes.
Holt CA Course Comparing and Ordering Rational Numbers Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
1-3 REAL Numbers :- 1-3 REAL Numbers :- New Vocabulary: Real Numbers : Natural Numbers : Whole Numbers : Integers : Rational Numbers : Irrational Numbers.
Equivalent Fractions, Decimals and Fractions
2-7 Rational Numbers Rational Number- A number that can be written as a fraction Ex: Write four more examples of rational numbers.
2-1 (C) Comparing and Ordering Integers. Vocabulary Rational Number – a number that can be expressed as a fraction. Ex: %4 ½ 4.8.
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