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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. Section 5.1 “Rational Numbers”

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Chapter 5 “Rational Numbers and Equations” Section 5.1 “Rational Numbers” Section 5.2 “Adding and Subtracting Like Fractions” Section 5.3 “Adding and Subtracting Unlike Fractions” Section 5.4 “Multiplying Fractions” Section 5.5 “Dividing Fractions” Section 5.6 “Using Multiplicative Inverses to Solve Equations” Section 5.7 “Equations and Inequalities with Rational Numbers”

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Objective SWBAT write decimals as fractions. SWBAT write fractions as decimals.

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WHOLE NUMBER a number that is whole (no decimal) and positive. 0, 1, 2, 3, … Remember This???

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INTEGER all whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3, … Remember This???

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Section 5.1, “Rational Numbers” A RATIONAL NUMBER is a number that can be written as a quotient of two integers (a fraction). Numbers that cannot be written as a fraction are called IRRATIONAL. RATIONAL NUMBERS IRRATIONAL NUMBERS

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“Rational Numbers” Rational Numbers Integers Whole Numbers 0,1,2,3,4,5… 0,1,2,3,4,5… Integers Integers -3,-2,-1, 0,1,2,3… Rational Numbers Rational Numbers numbers that can numbers that can represented as a ratio or fraction Whole Numbers

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Writing Decimals as Fractions Decimal numbers can be one of the following: 1) terminating 2) repeating (follows a pattern) 3) nonrepeating (goes on forever without a pattern) rational irrational D F

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Writing Decimals as Fractions Write the following decimal as fraction. 0.45 How do you say this? “Forty-five hundredths” Simplify D F

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Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Write the decimal as a fraction. 1 “Three hundred seventy-fivethousandths”.375.3751+ 38 + 1 38 Simplify D F

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Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Write the decimal as a fraction. -3 “Two-tenths”.2.2-3+ 15 + -3 15 Simplify D F

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Writing Decimals as Fractions Write the following decimal as a fraction. 0.09 For repeating decimals use the following strategy: Simplify, if possible If there are two repeating digits in the decimal, place the digits over 99. 0.090909… If there is one repeating digit in the decimal, place the digit over 9. If there are three repeating digits in the decimal, place the digits over 999. D F

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Writing Decimals as Fractions Write the following decimal as a fraction. 0.162 For repeating decimals use the following strategy: Simplify, If possible 0.162162… If there are three repeating digits in the decimal, place the digits over 999. D F

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Writing Fractions as Decimals Rewrite the fraction as a decimal. This means 7 divided by 8. A fraction is the quotient of two integers Remember 78 0 64 6 87 Finished.00 56 4 0 5 40 F D

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Writing Mixed Numbers as Decimals Rewrite the mixed number as a sum. Write the fraction as a decimal. 1.375 “3 ÷ 8” 3 8 1 + 0.375 + 1 F D

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= Writing Fractions as Decimals Writing Fractions as Decimals = When writing a fraction as a decimal, think of the fraction as a division expression. Then divide the numerator by the denominator. = 0.8 = 1.1875 = = 0.2222222… = 0.2 F D

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00.51 Plot the numbers on a number line. Then order them from least to greatest. 1.5 0.40.2 0.670.6251.5 In order them from least to greatest. Using a Number Line F D

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Homework –Text p. 222, #20-60 evens

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