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Do Now 3/1/11 Copy HW in your planner. – Text p. 222, #1-4 all, 14-17 all, 36-42 evens, 50-56 evens Open your notebook to a new page and put the following heading on the top of the page. Section 5.1 “Rational Numbers” 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” Objective SWBAT write decimals as fractions. WHOLE NUMBER a number that is whole (no decimal) and positive. 0, 1, 2, 3, … INTEGER all whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3, … 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 1 2 3 5 12 1 3 1 4 IRRATIONAL NUMBERS 2 3 5 “Rational Numbers” Rational Numbers Integers Integers -3,-2,-1, 0,1,2,3… Whole Numbers Whole Numbers 0,1,2,3,4,5… Rational Numbers numbers that can represented as a ratio or fraction a ,b 0 b D ecimal F raction D F Decimals = Fractions “Part or a portion of the WHOLE” 0.4 4 tenths 4 10 D F Writing Decimals as Fractions Say the decimal number in words. Write the decimal words as a fraction, simplify if necessary. 0.71 0.4 “seventy-one hundredths” “four-tenths” 71 100 4 2 = 10 5 D F Writing Decimals as Fractions Write the following decimal as fraction. 0.45 How do you say this? 45 100 “Forty-five hundredths” 45 100 Simplify 335 2 255 9 20 D F Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Write the decimal as a fraction. 1.15 + Simplify 15 35 3 100 2 2 5 5 20 “Fifteen hundredths” 1 + 3 20 3 1 20 D F Writing Decimal Numbers As Mixed Numbers Rewrite the decimal number as a sum. Write the decimal as a fraction. -3.2+ Simplify “Two-tenths” -(3 2 10 + 1) 5 2 1 25 1 5 1 -3 5 Practice When writing a decimal as a fraction, say and write the fraction. Then simplify the fraction by dividing common factors. 0.8 8 10 222 25 4 5 -0.375 375 1000 3555 2 2 2555 3 8 2.64 64 2 100 222222 2 255 16 2 25 D F Writing Decimals as Fractions Write the following decimal as a fraction. 0.09 For repeating decimals use the following strategy: 0.090909… If there are two repeating digits in the decimal, place the digits over 99. 09 99 Simplify, if possible 33 3 3 11 1 11 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 Writing Decimals as Fractions Write the following decimal as a fraction. 0.162 For repeating decimals use the following strategy: 0.162162… If there are three repeating digits in the decimal, place the digits over 999. 162 999 Simplify, If possible 2 3333 3 3 3 37 6 37 Practice When writing a repeating decimal as a fraction, say and write the fraction over ‘9’. For every repeating digit, use that many ‘9’s in the denominator. Then simplify the fraction by dividing common factors. 0.8 8 9 -0.375 375 999 3555 3 3 3 37 125 333 D F Writing Decimals as Fractions Decimal numbers can be one of the following: 1) terminating rational 0.375 3 8 2) repeating (follows a pattern) 0.454545... 0.45 rational 5 11 3) nonrepeating (goes on forever without a pattern) irrational 2.23606797749... 5 Homework – Text p. 222, #1-4 all, 14-17 all, 36-42 evens, 50-56 evens