OBJECTIVE OBJECTIVE. ... And Why , 0.241, 24.1, , 13.03, 1.300, , 0.01, -0.1, -0.01

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1 Fractions and Decimals - - Writing Fractions as Decimals You can write a fraction as a decimal by dividing the numerator by the denominator. When the division ends with a remainder of zero the quotient is called a terminating decimal. or quotient The division process for ends with a remainder of zero. So 0. is a terminating decimal. onsumer Issues customer at a delicatessen asks for lb of potato salad. The scale reads 0.. Is the customer getting the amount of potato salad she requested? Explain. 0. Real-World 0. q remainder Problem Solving What You ll Learn To write fractions as decimals To write terminating and repeating decimals as fractions... nd Why To solve real-world problems involving buying food heck Skills You ll Need Write the decimals in order from least to greatest.. See below For help go to Skills Handbook p.. New Vocabulary terminating decimal repeating decimal. Plan Lesson Preview heck Skills You'll Need Ordering Decimals Skills Handbook: p. ; Exercises 0. Lesson Resources Teaching Resources Practice Reteaching Enrichment Reaching ll Students Practice Workbook - Spanish Practice Workbook - Guided Problem Solving - Technology ctivities Hands-On ctivities Presentation ssistant Plus! Transparencies and PowerPoint heck Skills You'll Need - dditional Examples - Student Edition nswers - Lesson Quiz - PH Presentation Pro D-ROM - Since = 0. the customer is getting the right amount of potato salad. heck Understanding Example. Write each fraction or mixed number as a decimal. 0. b.. c.. d Interactive lesson includes instant self-check tutorials and activities. - Fractions and Decimals SSESSMENT SYSTEM omputer Test Generator D-ROM Technology Resource Pro D-ROM omputer Test Generator D PH Presentation Pro D-ROM Student Site Teacher Web ode: adk-00 Self-grading Lesson Quiz PH SuccessNet Teacher enter Lesson Planner Resources Plus INSTNT HEK SYSTEM Ongoing ssessment and Intervention efore the Lesson Diagnose prerequisite skills using: heck Skills You ll Need During the Lesson Monitor progress using: heck Understanding dditional Examples Test Prep fter the Lesson ssess knowledge using: Lesson Quiz omputer Test Generator D-ROM

2 . Teach Math ackground rational number is any number a you can write as a ratio b of two integers a and b where b 0. oth terminating and repeating decimals can be written as the ratio of two integers. Decimals that are neither terminating nor repeating are irrational numbers and cannot be written as the ratio of two integers. Teaching Notes Error Prevention When dividing to write as a decimal many students may begin with q. Review the correct way to write this expression q. sk students to suggest methods for remembering the correct placement of the divisor and the dividend. uditory Learners Students may write as 0. moving the numerator and denominator to the right of the decimal point instead of dividing. Remind students that the fraction bar indicates the division they must do to write a fraction as a decimal. Encourage them to say quietly to themselves divided by or divided by instead of reading the fractions as two thirds or fifteen elevenths. Encourage students to use this method whenever they convert fractions to decimals. alculator Hint Enter into your calculator. Then check whether the last digit in the display is or to see how your calculator rounds. 0. ; repeating; b. 0.; repeating; c..; terminating d. 0. ; repeating; In a repeating decimal the same block of digits repeats infinitely many times. The block of digits that repeats can be one digit or more than one digit. Writing a Repeating Decimal Write each fraction as a decimal. State the block of digits that repeats. b. = Divide. =.... Place a bar over the = 0. block of digits =. that repeats. = 0. ; the digit =. ; the that repeats is. block of digits that repeats is. Example. Write each fraction as a decimal. State whether the decimal is terminating or repeating. If the decimal repeats state the block of digits that repeats. See left. b. c. d. When you compare and order decimals and fractions it may be helpful to first write the fractions as decimals. heck Understanding Ordering Fractions and Decimals Write the numbers in order from least to greatest. 0.. = 0. f hange the fractions to decimals. - = ompare the decimals. From least to greatest the numbers are 0. and.. lternative Method sk: How can you use mental math to order the fractions? nswers may vary. Sample: First compare the negative numbers. 0. is less than one-half and is greater than one-half. However since these are negative numbers is less than 0.. Then compare the positive numbers. is less than.. So the list is 0... hapter Operations With Fractions Reaching ll Students elow Level sk students to name measurements that they ve seen expressed in both fraction and decimal forms. nswers may vary. Sample: weights of produce lengths of objects amounts of rain heck Understanding Example. Order from least to greatest b dvanced Learners Have students use mental math to find three fractions that are repeating decimals when expressed in decimal form. uditory Learners See note on page. English Learners See note on page.

3 Writing Decimals as Fractions Reading a decimal correctly provides a way to write a fraction. Decimal Read Fraction 0. forty-three hundredths 00 If a decimal is greater than you can write it as a mixed number. Writing a Decimal as a Fraction Write. as a mixed number in simplest form Keep the whole number. Write twelve hundredths as a fraction. Divide the numerator and denominator of the fraction by the GF. Simplify. heck Understanding Example. Write as a fraction or a mixed number in simplest form.. b.. c. 0. You can use algebra to write a repeating decimal as a fraction. Writing a Repeating Decimal as a Fraction Write the repeating decimal 0. as a fraction in simplest form. n = 0. Let the variable n equal the decimal. 00n =. Multiply each side by 0 or n =. The Subtraction Property of Equality lets you - n =-0. subtract the same value from each side n = of the equation. n n Divide each side by. Divide the numerator and denominator by the GF. Simplify. s a fraction in simplest form 0.. heck Understanding Example. Write each decimal as a fraction in simplest form. 0. b. 0. c Need Help? Properties of Equality allow you to change both sides of an equation in the same way. - Fractions and Decimals English Learners e sure students understand the correct way to read decimals that are greater than. You say and for the decimal point. For example you read. as one and twelve hundredths not as one point twelve. Naming the place value may also help when writing a decimal as a fraction. Economics onnection In the oard of Directors of the New York Stock Exchange voted to begin trading stocks in decimal prices rather than fractions. Previously a stock that was valued at $. per share was priced on the Exchange as. The smallest fraction of a dollar allowed for trade was. The year 000 was chosen as the starting date for the decimal pricing. dditional Examples The fuel tank of Scott s new lawn mower holds gal of gasoline. Scott poured 0. gal into the tank. Did Scott fill the tank? no PowerPoint Write each fraction as a decimal. State the block of digits that repeats. 0.; b. 0.; Write the numbers in order from least to greatest Write. as a mixed number in simplest form. Write 0. as a fraction in simplest form. losure Have students explain how to write fractions as decimals and how to write terminating and repeating decimals as fractions.

4 . Practice ssignment Guide J Objective ore Extension 0 Objective ore Extension Test Prep Mixed Review Practice - Fractions and Decimals Write as a fraction or mixed number in simplest form Order from least to greatest Write an improper fraction with the greatest possible value using each of the digits and once. Write this as a mixed number and as a decimal.. Write each decimal as a fraction or mixed number in simplest form ompare. Use * + or to complete each statement * * Enrichment - Nines in the Denominator Recall that you can indicate repeating digits in a decimal by writing a bar over the repeating digits. Example Shorthand: 0. Example Shorthand: 0 0. Use your calculator to do the following exercises. Write as a decimal using a bar When only nines appear in a denominator you can predict the decimal equivalent of a fraction Predict the decimal equivalent of. 0.. Find the answer using your calculator Predict the decimal equivalent of. 0.. Find the answer using your calculator Predict the decimal equivalent of. 0.. Find the answer using your calculator Predict the decimal equivalent of EXERISES Practice and Problem Solving Practice by Example Example (page ) Example (page ). 0.; terminating. 0.; repeating;. 0.; repeating;. 0.; repeating; Example (page ) Examples and (page ) pply Your Skills 0 hapter Operations With Fractions GPS Use the Guided Problem Solving worksheet with Exercise Remodeling Randy and ecky measure a carpet. ecky says the carpet s length is 0 ft. Randy writes 0. ft. Did Randy write the correct measurement? Explain. Yes; 0. so Write each fraction as a decimal. State whether the decimal is terminating or repeating. If the decimal repeats state the block of digits that repeats.. See left..... Order from least to greatest See left. Write each decimal as a fraction or a mixed number in simplest form Mental Math ompare. Use S R or to complete each statement... R S. 0. R. Number Sense carpenter has a bolt with diameter in. Will the bolt fit in a hole made by a drill bit with diameter 0. in.? Explain. GPS Yes; the bolt has diameter 0. in. which is less than 0. in Write as a fraction or a mixed number in simplest form For more exercises see Extra Practice. 0. atting averages are usually expressed as decimals. Sarah got hits in times at bat. Lizzie got hits in times at bat. Data nalysis Find their batting averages to the nearest thousandth. Sarah: 0.; Lizzie: 0.0 b. Probability ased on their batting averages who is more likely to get a hit? Explain. Lizzie; 0.0 S

5 . ssess. Number Sense opy and complete this table of some commonly used fractions and decimals. Write the fractions in simplest form. Fraction Decimal hallenge [] No; Lucia should recognize the calculator display as the rounded repeating decimal 0.. [] No; incomplete or missing explanation See left. 0.. Write 0 as a decimal. 0. Write each decimal as a fraction or mixed number in simplest form. Is a repeating decimal? Explain. See left Number Sense The number of digits that repeat in a repeating decimal is called the period of the decimal. The period of 0. is. Write and as decimals b. What is the period of each decimal you wrote in part (a)?. Reasoning Seth had just finished a division problem on his calculator when the telephone rang. He got distracted. When he looked back at the calculator all he could see was the display What might have been the division problem? Explain. since 0.0 lternative ssessment Have pairs of students measure five objects around the room and record their measurements in inches (using fractions). Have them convert their fractions to decimals rounded to the nearest thousandth. Have pairs exchange the decimal values and convert them back to fractions. Test Prep Multiple hoice Take It to the NET Online lesson quiz at Web ode: ada-00 Short Response. Which decimal is the closest approximation to? D D. 0.. clerk puts slices of cheese on a scale until it reads. lb. What is this amount as a mixed number? H lb F. lb G. lb H. lb I. Test Prep Resources. Lucia s math teacher asks her to write as a decimal. She enters on her calculator. The calculator displays 0.. (a) Is this the answer Lucia should record? (b) Explain your response. For additional practice with a variety of test item formats: Test Prep p. Test-Taking Strategies p. Test-Taking Strategies With Transparencies See above left. Mixed Review. Lesson -.. Lesson - Order the fractions in each group from least to greatest... See left.. Reteaching - Fractions and Decimals. Write. as a mixed number in simplest form. n.... Let the variable n equal the decimal. Note that the bar is over only the so only the repeats. 00n.... Multiply each side by 0 or 00 to bring one of the repeating s left of the decimal. 0n.... Multiply each side by 0 so the repeating s will subtract out. 00n Lake Mead 0n Solve the new equation 0 n hange each number to an improper fraction.. Subtract to eliminate the repeating s. 0n.... 0n n Previous ourse.... Reteaching. Geography Lake Mead located between rizona and Nevada has a capacity of m. Write this number in scientific notation.. 00 Lesson Quiz -. Order from least to greatest Write as a fraction or a mixed number in simplest form No; there is no block of digits that repeats. 0. PowerPoint Divide each side by Divide the numerator and denominator by the GF.. 0 Write each decimal as a fraction or mixed number in simplest form n - Fractions and Decimals n.... n ⴚ n n n n n.... 0n ⴚ.... 0n 0n 0 0 n